Biographies

[Marichka]

Birth name
Kevin Spacey Fowler
Height
5' 11" (1.80 m)
Mini biography

As enigmatic as he is talented, Kevin Spacey has always kept the details of his private life closely guarded. As he explained in a 1998 interview with the London Evening Standard, "It's not that I want to create some bullshit mystique by maintaining a silence about my personal life, it is just that the less you know about me, the easier it is to convince you that I am that character on screen. It allows an audience to come into a movie theatre and believe I am that person."
There are, however, certain biographical facts to be had--for starters, Kevin Spacey Fowler was the youngest of three children born to Thomas and Kathleen Fowler in South Orange, New Jersey. His mother was a personal secretary, his father a technical writer whose irregular job prospects led the family all over the country. They eventually settled in southern California, where young Kevin developed into quite a little hellion--after he set his sister's tree house on fire, he was shipped off to the Northridge Military Academy, only to be thrown out a few months later for pinging a classmate on the head with a tire. Spacey then found his way to Chatsworth High School in the San Fernando Valley, where he managed to channel his dramatic tendencies into a successful amateur acting career. In his senior year, he played Captain von Trapp opposite classmate Mare Winningham's Maria in _The Sound of Music_ (the pair later graduated as co-valedictorians). Spacey claims that his interest in acting--and his nearly encyclopedic accumulation of film knowledge--began at an early age, when he would sneak downstairs to watch the late late show on TV. Later, in high school, he and his friends cut class to catch revival films at the NuArt Theater. The adolescent Spacey worked up celebrity impersonations (Jimmy Stewart and Johnny Carson were two of his favorites) to try out on the amateur comedy club circuit.
He briefly attended Los Angeles Valley College, then left (on the advice of another Chatsworth classmate, Val Kilmer) to join the drama program at Juilliard. After two years of training he was anxious to work, so he quit Juilliard sans diploma and signed up with the New York Shakespeare Festival. His first professional stage appearance was as a messenger in the 1981 production of 'Henry VI'.
Festival head Joseph Papp ushered the young actor out into the "real world" of theater, and the next year Spacey made his Broadway debut in Henrik Ibsen's 'Ghosts'. He quickly proved himself as an energetic and versatile performer (at one point, he rotated through all the parts in David Rabe's 'Hurlyburly'). In 1986 he had the chance to work with his idol and future mentor, Jack Lemmon, on a production of Eugene O'Neill's 'Long Day's Journey Into Night'. While his interest soon turned to film, Spacey would remain active in the theater community--in 1991, he won a Tony Award for his turn as Uncle Louie in Neil Simon's Broadway hit 'Lost in Yonkers', and in 1999 he returned to the boards for a revival of O'Neill's 'The Iceman Cometh'.
Spacey's film career began modestly, with a small part as a subway thief in Heartburn (1986). Deemed more of a "character actor" than a leading man, he stayed on the periphery in his next few films, but attracted attention for his turn as beady-eyed villain Mel Profitt on the TV series "Wiseguy" (1987). Profitt was the first in a long line of dark, manipulative characters that would eventually make Kevin Spacey a household name: he went on to play a sinister office manager in Glengarry Glen Ross (1992), a sadistic Hollywood exec in Swimming with Sharks (1994), and, most famously, creepy, smooth-talking eyewitness Verbal Kint in The Usual Suspects (1995).
The "Suspects" role earned Spacey an Oscar for Best Supporting Actor and catapulted him into the limelight. That same year, he turned in another complex, eerie performance in David Fincher's thriller Se7en (1995) (Spacey refused billing on the film, fearing that it might compromise the ending if audiences were waiting for him to appear). By now, the scripts were pouring in. After appearing in Al Pacino's Looking for Richard (1996), Spacey made his own directorial debut with Albino Alligator (1996), a low-key but well received hostage drama. He then jumped back into acting, winning critical accolades for his turns as flashy detective Jack Vincennes in L.A. Confidential (1997) and genteel, closeted murder suspect Jim Williams in Midnight in the Garden of Good and Evil (1997). In October 1999, just four days after the dark suburban satire American Beauty (1999) opened in US theaters, Spacey received a star on the Hollywood Walk of Fame. Little did organizers know that his role in _Beauty_ would turn out to be his biggest success yet--as Lester Burnham, a middle-aged corporate cog on the brink of psychological meltdown, he tapped into a funny, savage character that captured audiences' imaginations and earned him a Best Actor Oscar.
No longer relegated to offbeat supporting parts, Spacey seems poised to redefine himself as a Hollywood headliner. He says he's finished exploring the dark side--but, given his attraction to complex characters, that mischievous twinkle will never be too far from his eyes.

[Reza1969]

William Henry Gates III (born October 28, 1955) is an American entrepreneur, philanthropist, and the chairman of Microsoft, the software company he founded with Paul Allen. During his career at Microsoft he has held the positions of CEO and chief software architect, and he remains the largest individual shareholder with more than 8% of the common stock.[3] Forbes magazine's list of The World's Billionaires has ranked him as the richest person in the world since 1995,[2] and recent estimates put his net worth near $56 billion.[2] When family wealth is considered, his family ranks second behind the Walton family.[4][5]

Gates is one of the best-known entrepreneurs of the personal computer revolution. Although he is widely admired,[6][7] his business tactics have often been criticized as anti-competitive, and have, in some instances, been ruled as such in court.[8][9] Since amassing his fortune, Gates has pursued a number of philanthropic endeavors, donating large amounts of money to various charitable organizations and scientific research programs through the Bill & Melinda Gates Foundation, established in 2000.

Early life

William Henry Gates III was born in Seattle, Washington to William H. Gates, Jr. (now Sr.) and Mary Maxwell Gates. His family was wealthy; his father was a prominent lawyer, his mother served on the board of directors for First Interstate Bank and the United Way, and her father, J. W. Maxwell, was a national bank president. Gates has one older sister, Kristi (Kristianne), and one younger sister, Libby. He was the fourth of his name in his family, but was known as William Gates III or "Trey" because his father had dropped his own "III" suffix.[10] Several writers claim that Maxwell set up a million-dollar trust fund for Gates.[11] A 1993 biographer who interviewed both Gates and his parents (among other sources) found no evidence of this and dismissed it as one of the "fictions" surrounding Gates's fortune.[10] Gates denied the trust fund story in a 1994 interview[12] and indirectly in his 1995 book The Road Ahead.[13]

Gates excelled in elementary school, particularly in mathematics and the sciences. At thirteen he enrolled in the Lakeside School, Seattle's most exclusive preparatory school where tuition in 1967 was $5,000 (Harvard tuition that year was $1,760). When he was in the eighth grade, the school mothers used proceeds from a rummage sale to buy Lakeside an ASR-33 teletype terminal and a block of computer time on a General Electric computer.[10] Gates took an interest in programming the GE system in BASIC and was excused from math classes to pursue his interest. After the Mothers Club donation was exhausted he and other students sought time on other systems, including DEC PDP minicomputers. One of these systems was a PDP-10 belonging to Computer Center Corporation, which banned the Lakeside students for the summer after it caught them exploiting bugs in the operating system to obtain free computer time.

At the end of the ban, the Lakeside students (Gates, Paul Allen, Ric Weiland, and Kent Evans) offered to find bugs in CCC's software in exchange for free computer time. Rather than use the system via teletype, Gates went to CCC's offices and studied source code for various programs that ran on the system, not only in BASIC but FORTRAN, LISP, and machine language as well. The arrangement with CCC continued until 1970, when it went out of business. The following year Information Sciences Inc. hired the Lakeside students to write a payroll program in COBOL, providing them not only computer time but royalties as well. At age 14, Gates also formed a venture with Allen, called Traf-O-Data, to make traffic counters based on the Intel 8008 processor. That first year he made $20,000, however when his age was discovered business slowed.[14][15]

As a youth, Bill Gates was active in the Boy Scouts of America where he achieved its second highest rank, Life Scout.

According to a press inquiry, Bill Gates stated that he scored 1590 on his SATs.[16] He enrolled at Harvard University in the fall of 1973 intending to get a pre-law degree,[17] but did not have a definite study plan.[18] While at Harvard, he met his future business partner, Steve Ballmer. At the same time, he co-authored and published a paper on algorithms with computer scientist Christos Papadimitriou.[19]

Microsoft

BASIC

After reading the January 1975 issue of Popular Electronics that demonstrated the Altair 8800, Gates contacted MITS (Micro Instrumentation and Telemetry Systems), the creators of the new microcomputer, to inform them that he and others were working on a BASIC interpreter for the platform.[20] In reality, Gates and Allen did not have an Altair and had not written code for it; they merely wanted to gauge MITS's interest. MITS president Ed Roberts agreed to meet them for a demo, and over the course of a few weeks they developed an Altair emulator that ran on a minicomputer, and then the BASIC interpreter. The demonstration, held at MITS's offices in Albuquerque, was a success and resulted in a deal with MITS to distribute the interpreter as Altair BASIC. Paul Allen hired into MITS,[21] and Gates took a leave of absence from Harvard to work with Allen at MITS, dubbing their partnership "Micro-soft" in November 1975.[21] Within a year, the hyphen was dropped, and on November 26, 1976, the tradename "Microsoft" was registered with the USPTO.[21]

Microsoft's BASIC was popular with computer hobbyists, but Gates discovered that a pre-market copy had leaked into the community and was being widely copied and distributed. In February 1976, Gates wrote an Open Letter to Hobbyists in the MITS newsletter saying that MITS could not continue to produce, distribute, and maintain high-quality software without payment.[22] This letter was unpopular with many computer hobbyists, but Gates persisted in his belief that software developers should be able to demand payment. Microsoft became independent of MITS in late 1976, and it continued to develop programming language software for various systems.

According to Gates, people at Microsoft often did more than one job during the early years; whoever answered the phone when an order came in was responsible for packing and mailing it. Gates oversaw the business details, but continued to write code as well. In the first five years, he personally reviewed every line of code the company shipped, and often rewrote parts of it as he saw fit.[23]

IBM partnership

In 1980 IBM approached Microsoft to make the BASIC interpreter for its upcoming personal computer, the IBM PC. When IBM's representatives mentioned that they needed an operating system, Gates referred them to Digital Research (DRI), makers of the widely used CP/M operating system.[24] IBM's discussions with Digital Research went poorly, and they did not reach a licensing agreement. IBM representative Jack Sams mentioned the licensing difficulties during a subsequent meeting with Gates and told him to get an acceptable operating system. A few weeks later Gates proposed using 86-DOS (QDOS), an operating system similar to CP/M that Seattle Computer Products had made for hardware similar to the PC. Microsoft made a deal with SCP to become the exclusive licensing agent, and later the full owner, of 86-DOS, but did not mention that IBM was a potential customer. After adapting the operating system for the PC, Microsoft delivered it to IBM as PC-DOS in exchange for a one-time fee.[25] Gates never understood why DRI had walked away from the deal, and in later years he claimed that DRI founder Gary Kildall capriciously "went flying" during an IBM appointment, a characterization that Kildall and other DRI employees would deny.

As several companies reverse-engineered the IBM architecture and developed clones[26] Microsoft was quick to license DOS to other manufacturers, calling it MS-DOS (for Microsoft Disk Operating System). By marketing MS-DOS aggressively to manufacturers of IBM-PC clones, Microsoft went from a small player to one of the major software vendors in the home computer industry. Microsoft continued to develop operating systems as well as software applications.[27][28]

Windows

In the early 1980s Microsoft introduced its own version of the graphical user interface (GUI), based on ideas pioneered by the Xerox corporation, and further developed by Apple.[29] Microsoft released "Windows" as an addition and alternative to their DOS command line, and to compete with other systems on the market that employed a GUI. By the early 1990s, Windows had pushed other DOS-based GUIs like GEM and GEOS out of the market. The release of Windows 3.0 in 1990 was a tremendous success, selling around 10 million copies in the first two years and cementing Microsoft's dominance in operating systems sales.[30]

By continuing to ensure, by various means, that most computers came with Microsoft software pre-installed, the Microsoft corporation eventually became the largest software company in the world, earning Gates enough money that Forbes Magazine named him the wealthiest person in the world for several years.[31][32] Gates served as the CEO of the company until 2000, when Steve Ballmer took the position.[20] Microsoft has thousands of patents,[33] and Gates has nine patents to his name[citation needed].

Strategy and management

Since Microsoft's founding in 1975 and as of 2006, Gates has had primary responsibility for Microsoft's product strategy. He has aggressively broadened the company's range of products, and wherever Microsoft has achieved a dominant position he has vigorously defended it. Many decisions that have led to antitrust litigation over Microsoft's business practices have had Gates' approval. In the 1998 United States v. Microsoft case, Gates gave deposition testimony that several journalists characterized as evasive. He argued with examiner David Boies over the definitions of words such as: compete, concerned, ask, and we.[34] BusinessWeek reported:

Early rounds of his deposition show him offering obfuscatory answers and saying 'I don't recall' so many times that even the presiding judge had to chuckle. Worse, many of the technology chief's denials and pleas of ignorance were directly refuted by prosecutors with snippets of e-mail Gates both sent and received.[35]

Gates later said that he had simply resisted attempts by Boies to mischaracterize his words and actions. As to his demeanor during the deposition, he said "Whatever that penalty is should be levied against me: rudeness to Boies in the first degree."[36] Despite Gates' denials, the judge ruled that Microsoft had committed monopolization and tying, blocking competition, in violation of the Sherman Act.

As an executive, Gates met regularly with Microsoft's senior managers and program managers. Most firsthand accounts of these meetings portray him as hostile, berating managers for perceived holes in their business strategy or proposals that place the company's long-term interests at risk.[12][37][38] He has been described shouting at length at employees before letting them continue, with such remarks as "That's the stupidest thing I've ever heard!" and "Why don't you just give up your options and join the Peace Corps?"[39] However, he was also known to back down when the targets of his outbursts responded frankly and directly.[40] When subordinates appeared to be procrastinating, he was known to quip, "Do you want me to do it over the weekend?"[41][42]

Gates' role at Microsoft for most of its history has been primarily a management and executive role. However, he was an active software developer in the early years, particularly on the company's programming language products. (See also: DONKEY.BAS) He has not officially been on a development team since working on the TRS-80 Model 100 line, but he wrote code as late as 1989 that shipped in the company's products.[41] On June 15, 2006, Gates announced that he would transition out of his day-to-day role over the next two years to dedicate more time to philanthropy. He divided his responsibilities between two successors, placing Ray Ozzie in charge of day-to-day management and Craig Mundie in charge of long-term product strategy.[43][44] One of his last initiatives before announcing his departure was the creation of a robotics software group at Microsoft.

Personal life

Gates married Melinda French of Dallas, Texas on January 1, 1994. They have three children: Jennifer Katharine Gates (1996), Rory John Gates (1999) and Phoebe Adele Gates (2002). Bill Gates' house is one of the most expensive houses in the world, and is a modern 21st century earth-sheltered home in the side of a hill overlooking Lake Washington in Medina, Washington. According to King County public records, as of 2006, the total assessed value of the property (land and house) is $125 million, and the annual property tax is just under $1 million. Also among Gates' private acquisitions is the Codex Leicester, a collection of writings by Leonardo da Vinci, which Gates bought for USD $30.8 million at an auction in 1994.[45]

Gates' e-mail address has been widely publicized, and he received as many as 4,000,000 e-mails in 2004, most of which were spam. He has almost an entire department devoted to filtering out junk emails.[46] Gates says that much of this junk mail "offers to help [him] get out of debt or get rich quick", which "would be funny if it weren't so irritating".[47]

Wealth and investments

Gates has been number one on the "Forbes 400" list from 1993 through to 2006 and number one on Forbes list of "The World's Richest People" from 1995 to 2006 with around 50 billion U.S. dollars. In 1999, Gates's wealth briefly surpassed $100 billion causing him to be referred to in the media as a "centibillionaire".[48] Since 2000 the nominal value of his Microsoft holdings has declined due to a fall in Microsoft's stock price after the dot-com bubble and the multi-billion dollar donations he has made to his charitable foundations. In May 2006, Gates said in an interview that he wished that he were not the richest man in the world, stating that he disliked the attention it brought.[49]

Gates has several investments outside Microsoft. He founded Corbis, a digital imaging company, in 1989. In 2004 he became a director of Berkshire Hathaway, the investment company headed by longtime friend Warren Buffett.[50] He is a client of Cascade Investment Group, a wealth management firm with diverse holdings.

Philanthropy

In 2000, Gates founded the Bill & Melinda Gates Foundation, a charitable organization, with his wife. Bill Gates Sr. has credited David Rockefeller's generosity and extensive philanthropy as an influence on his son. The two of them met several times with him and have modeled their giving in part on the Rockefeller family's philanthropic focus on global problems being ignored by governments and other organizations.[2]

The foundation's grants have provided funds for college scholarships for under-represented minorities, AIDS prevention, diseases prevalent in third world countries, and other causes. In 2000, the Gates Foundation endowed the University of Cambridge with $210 million for the Gates Cambridge Scholarships. The Foundation has also pledged over $7 billion to its various causes, including $1 billion to the United Negro College Fund. According to a 2004 Forbes magazine article, Gates gave away over $29 billion to charities from 2000 onwards. These donations are usually cited as sparking a substantial change in attitudes towards philanthropy among the very rich, with philanthropy becoming the norm.[51]

Public school support

One of Gates' primary interests is improving the public schools. He has donated substantially toward that goal, and also appeared on programs with personalities such as Oprah Winfrey to emphasize the crisis in American education.[citation needed] He has also appeared before Congress for this purpose.[citation needed]

Transition

On June 16, 2006, Gates announced that he would move to a part-time role within Microsoft (leaving day-to-day operations management)[52] in July 2008 to begin a full-time career in philanthropy, but would remain as chairman. Gates credited Warren Buffett with influencing his decision to commit himself to charitable causes.[53] Days later, Buffett announced that he would begin matching Gates' contributions to the Gates Foundation, up to $1.5 billion per year in stock.[54]

Awards and recognition

Time Magazine named Gates one of the 100 people who most influenced the 20th century, as well as one of the 100 most influential people of 2004, 2005, 2006 and again in 2007. Gates and Oprah Winfrey are the only two people to make all four lists. Time also collectively named Gates, his wife Melinda and U2's lead singer Bono as the 2005 Persons of the Year for their humanitarian efforts. In 2006, Gates Foundation was awarded the Premio Príncipe de Asturias en Cooperación Internacional. In a list compiled by the magazine New Statesman in 2006, he was voted eighth in the list of "Heroes of our time".[55] Gates was listed in the Sunday Times power list in 1999, named CEO of the year by Chief Executive Officers magazine in 1994, ranked number one in the "Top 50 Cyber Elite" by Time in 1998, ranked number two in the Upside Elite 100 in 1999 and was included in The Guardian as one of the "Top 100 influential people in media" in 2001.

Gates has received three honorary doctorates, from the Nyenrode Business Universiteit, Breukelen, The Netherlands in 2000,[56] the Royal Institute of Technology, Stockholm, Sweden in 2002 and Waseda University, Tokyo, Japan in 2005, and will receive a fourth, in June of 2007, from Harvard University.[57] Gates was also given an honorary KBE (Knighthood) from Queen Elizabeth II of the United Kingdom in 2005,[58] in addition to having entomologists name the Bill Gates flower fly, Eristalis gatesi, in his honor.[59]

Bill delivered the keynote address at the Fall Comdex in 1983, 1985, 1988, 1990, 1994, 1996, 1997, 1998, 1999, 2000, 2001, 2002, and 2003.

Bill and Melinda received the Prince of Asturias Award for International Cooperation on May 4, 2006, in recognition of their world impact through charity giving.[60] In November 2006, he and his wife were awarded the Order of the Aztec Eagle for their philanthropic work around the world in the areas of health and education, particularly in Mexico, and specifically in the program "Un país de lectores".[61]

Publicity

Gates is often characterized as the quintessential example of a super-intelligent "nerd" with immense power and wealth. This has in turn led to pop culture stereotypes of Gates as a tyrant or evil genius, often resorting to ruthless business techniques. As such he has been the subject of numerous parodies in film, television, and video games

.

***


Bill Gates
Chairman, Microsoft Corp

.

worldwide leader in software, services and solutions that help people and businesses realize their full potential. Microsoft had revenues of US$44.28 billion for the fiscal year ending June 2006, and employs more than 71,000 people in 103 countries and regions.

On June 15, 2006, Microsoft announced that effective July 2008 Gates will transition out of a day-to-day role in the company to spend more time on his global health and education work at the Bill & Melinda Gates Foundation. After July 2008 Gates will continue to serve as Microsoft’s chairman and an advisor on key development projects. The two-year transition process is to ensure that there is a smooth and orderly transfer of Gates’ daily responsibilities. Effective June 2006, Ray Ozzie has assumed Gates’ previous title as chief software architect and is working side by side with Gates on all technical architecture and product oversight responsibilities at Microsoft. Craig Mundie has assumed the new title of chief research and strategy officer at Microsoft and is working closely with Gates to assume his responsibility for the company’s research and incubation efforts.

Born on Oct. 28, 1955, Gates grew up in Seattle with his two sisters. Their father, William H. Gates II, is a Seattle attorney. Their late mother, Mary Gates, was a schoolteacher, University of Washington regent, and chairwoman of United Way International.

Gates attended public elementary school and the private Lakeside School. There, he discovered his interest in software and began programming computers at age 13.

In 1973, Gates entered Harvard University as a freshman, where he lived down the hall from Steve Ballmer, now Microsoft's chief executive officer. While at Harvard, Gates developed a version of the programming language BASIC for the first microcomputer - the MITS Altair.

In his junior year, Gates left Harvard to devote his energies to Microsoft, a company he had begun in 1975 with his childhood friend Paul Allen. Guided by a belief that the computer would be a valuable tool on every office desktop and in every home, they began developing software for personal computers. Gates' foresight and his vision for personal computing have been central to the success of Microsoft and the software industry.

Under Gates' leadership, Microsoft's mission has been to continually advance and improve software technology, and to make it easier, more cost-effective and more enjoyable for people to use computers. The company is committed to a long-term view, reflected in its investment of approximately $6.2 billion on research and development in the 2005 fiscal year.

In 1999, Gates wrote Business @ the Speed of Thought, a book that shows how computer technology can solve business problems in fundamentally new ways. The book was published in 25 languages and is available in more than 60 countries. Business @ the Speed of Thought has received wide critical acclaim, and was listed on the best-seller lists of the New York Times, USA Today, the Wall Street Journal and Amazon.com. Gates' previous book, The Road Ahead, published in 1995, held the No. 1 spot on the New York Times' bestseller list for seven weeks.

Gates has donated the proceeds of both books to non-profit organizations that support the use of technology in education and skills development.

In addition to his love of computers and software, Gates founded Corbis, which is developing one of the world's largest resources of visual information - a comprehensive digital archive of art and photography from public and private collections around the globe. He is also a member of the board of directors of Berkshire Hathaway Inc., which invests in companies engaged in diverse business activities.

Philanthropy is also important to Gates. He and his wife, Melinda, have endowed a foundation with more than $28.8 billion (as of January 2005) to support philanthropic initiatives in the areas of global health and learning, with the hope that in the 21st century, advances in these critical areas will be available for all people. The Bill and Melinda Gates Foundation has committed more than $3.6 billion to organizations working in global health; more than $2 billion to improve learning opportunities, including the Gates Library Initiative to bring computers, Internet Access and training to public libraries in low-income communities in the United States and Canada; more than $477 million to community projects in the Pacific Northwest; and more than $488 million to special projects and annual giving campaigns.

Gates was married on Jan. 1, 1994, to Melinda French Gates. They have three children. Gates is an avid reader, and enjoys playing golf and bridge.

[behnam karami]

Galileo Galilei's parents were Vincenzo Galilei and Guilia Ammannati. Vincenzo, who was born in Florence in 1520, was a teacher of music and a fine lute player. After studying music in Venice he carried out experiments on strings to support his musical theories. Guilia, who was born in Pescia, married Vincenzo in 1563 and they made their home in the countryside near Pisa. Galileo was their first child and spent his early years with his family in Pisa.

In 1572, when Galileo was eight years old, his family returned to Florence, his father's home town. However, Galileo remained in Pisa and lived for two years with Muzio Tedaldi who was related to Galileo's mother by marriage. When he reached the age of ten, Galileo left Pisa to join his family in Florence and there he was tutored by Jacopo Borghini. Once he was old enough to be educated in a monastery, his parents sent him to the Camaldolese Monastery at Vallombrosa which is situated on a magnificent forested hillside 33 km southeast of Florence. The Camaldolese Order was independent of the Benedictine Order, splitting from it in about 1012. The Order combined the solitary life of the hermit with the strict life of the monk and soon the young Galileo found this life an attractive one. He became a novice, intending to join the Order, but this did not please his father who had already decided that his eldest son should become a medical doctor.

Vincenzo had Galileo return from Vallombrosa to Florence and give up the idea of joining the Camaldolese order. He did continue his schooling in Florence, however, in a school run by the Camaldolese monks. In 1581 Vincenzo sent Galileo back to Pisa to live again with Muzio Tedaldi and now to enrol for a medical degree at the University of Pisa. Although the idea of a medical career never seems to have appealed to Galileo, his father's wish was a fairly natural one since there had been a distinguished physician in his family in the previous century. Galileo never seems to have taken medical studies seriously, attending courses on his real interests which were in mathematics and natural philosophy. His mathematics teacher at Pisa was Filippo Fantoni, who held the chair of mathematics. Galileo returned to Florence for the summer vacations and there continued to study mathematics.

In the year 1582-83 Ostilio Ricci, who was the mathematician of the Tuscan Court and a former pupil of Tartaglia, taught a course on Euclid's Elements at the University of Pisa which Galileo attended. During the summer of 1583 Galileo was back in Florence with his family and Vincenzo encouraged him to read Galen to further his medical studies. However Galileo, still reluctant to study medicine, invited Ricci (also in Florence where the Tuscan court spent the summer and autumn) to his home to meet his father. Ricci tried to persuade Vincenzo to allow his son to study mathematics since this was where his interests lay. Certainly Vincenzo did not like the idea and resisted strongly but eventually he gave way a little and Galileo was able to study the works of Euclid and Archimedes from the Italian translations which Tartaglia had made. Of course he was still officially enrolled as a medical student at Pisa but eventually, by 1585, he gave up this course and left without completing his degree.

Galileo began teaching mathematics, first privately in Florence and then during 1585-86 at Siena where he held a public appointment. During the summer of 1586 he taught at Vallombrosa, and in this year he wrote his first scientific book The little balance [La Balancitta] which described Archimedes' method of finding the specific gravities (that is the relative densities) of substances using a balance. In the following year he travelled to Rome to visit Clavius who was professor of mathematics at the Jesuit Collegio Romano there. A topic which was very popular with the Jesuit mathematicians at this time was centres of gravity and Galileo brought with him some results which he had discovered on this topic. Despite making a very favourable impression on Clavius, Galileo failed to gain an appointment to teach mathematics at the University of Bologna.

After leaving Rome Galileo remained in contact with Clavius by correspondence and Guidobaldo del Monte was also a regular correspondent. Certainly the theorems which Galileo had proved on the centres of gravity of solids, and left in Rome, were discussed in this correspondence. It is also likely that Galileo received lecture notes from courses which had been given at the Collegio Romano, for he made copies of such material which still survive today. The correspondence began around 1588 and continued for many years. Also in 1588 Galileo received a prestigious invitation to lecture on the dimensions and location of hell in Dante's Inferno at the Academy in Florence.

Fantoni left the chair of mathematics at the University of Pisa in 1589 and Galileo was appointed to fill the post (although this was only a nominal position to provide financial support for Galileo). Not only did he receive strong recommendations from Clavius, but he also had acquired an excellent reputation through his lectures at the Florence Academy in the previous year. The young mathematician had rapidly acquired the reputation that was necessary to gain such a position, but there were still higher positions at which he might aim. Galileo spent three years holding this post at the university of Pisa and during this time he wrote De Motu a series of essays on the theory of motion which he never published. It is likely that he never published this material because he was less than satisfied with it, and this is fair for despite containing some important steps forward, it also contained some incorrect ideas. Perhaps the most important new ideas which De Motu contains is that one can test theories by conducting experiments. In particular the work contains his important idea that one could test theories about falling bodies using an inclined plane to slow down the rate of descent.

In 1591 Vincenzo Galilei, Galileo's father, died and since Galileo was the eldest son he had to provide financial support for the rest of the family and in particular have the necessary financial means to provide dowries for his two younger sisters. Being professor of mathematics at Pisa was not well paid, so Galileo looked for a more lucrative post. With strong recommendations from Guidobaldo del Monte, Galileo was appointed professor of mathematics at the University of Padua (the university of the Republic of Venice) in 1592 at a salary of three times what he had received at Pisa. On 7 December 1592 he gave his inaugural lecture and began a period of eighteen years at the university, years which he later described as the happiest of his life. At Padua his duties were mainly to teach Euclid's geometry and standard (geocentric) astronomy to medical students, who would need to know some astronomy in order to make use of astrology in their medical practice. However, Galileo argued against Aristotle's view of astronomy and natural philosophy in three public lectures he gave in connection with the appearance of a New Star (now known as 'Kepler's supernova') in 1604. The belief at this time was that of Aristotle, namely that all changes in the heavens had to occur in the lunar region close to the Earth, the realm of the fixed stars being permanent. Galileo used parallax arguments to prove that the New Star could not be close to the Earth. In a personal letter written to Kepler in 1598, Galileo had stated that he was a Copernican (believer in the theories of Copernicus). However, no public sign of this belief was to appear until many years later.

At Padua, Galileo began a long term relationship with Maria Gamba, who was from Venice, but they did not marry perhaps because Galileo felt his financial situation was not good enough. In 1600 their first child Virginia was born, followed by a second daughter Livia in the following year. In 1606 their son Vincenzo was born.

We mentioned above an error in Galileo's theory of motion as he set it out in De Motu around 1590. He was quite mistaken in his belief that the force acting on a body was the relative difference between its specific gravity and that of the substance through which it moved. Galileo wrote to his friend Paolo Sarpi, a fine mathematician who was consultor to the Venetian government, in 1604 and it is clear from his letter that by this time he had realised his mistake. In fact he had returned to work on the theory of motion in 1602 and over the following two years, through his study of inclined planes and the pendulum, he had formulated the correct law of falling bodies and had worked out that a projectile follows a parabolic path. However, these famous results would not be published for another 35 years.

In May 1609, Galileo received a letter from Paolo Sarpi telling him about a spyglass that a Dutchman had shown in Venice. Galileo wrote in the Starry Messenger (Sidereus Nuncius) in April 1610:-

About ten months ago a report reached my ears that a certain Fleming had constructed a spyglass by means of which visible objects, though very distant from the eye of the observer, were distinctly seen as if nearby. Of this truly remarkable effect several experiences were related, to which some persons believed while other denied them. A few days later the report was confirmed by a letter I received from a Frenchman in Paris, Jacques Badovere, which caused me to apply myself wholeheartedly to investigate means by which I might arrive at the invention of a similar instrument. This I did soon afterwards, my basis being the doctrine of refraction.

From these reports, and using his own technical skills as a mathematician and as a craftsman, Galileo began to make a series of telescopes whose optical performance was much better than that of the Dutch instrument. His first telescope was made from available lenses and gave a magnification of about four times. To improve on this Galileo learned how to grind and polish his own lenses and by August 1609 he had an instrument with a magnification of around eight or nine. Galileo immediately saw the commercial and military applications of his telescope (which he called a perspicillum) for ships at sea. He kept Sarpi informed of his progress and Sarpi arranged a demonstration for the Venetian Senate. They were very impressed and, in return for a large increase in his salary, Galileo gave the sole rights for the manufacture of telescopes to the Venetian Senate. It seems a particularly good move on his part since he must have known that such rights were meaningless, particularly since he always acknowledged that the telescope was not his invention!

By the end of 1609 Galileo had turned his telescope on the night sky and began to make remarkable discoveries. Swerdlow writes (see ]):-

In about two months, December and January, he made more discoveries that changed the world than anyone has ever made before or since.

The astronomical discoveries he made with his telescopes were described in a short book called the Starry Messenger published in Venice in May 1610. This work caused a sensation. Galileo claimed to have seen mountains on the Moon, to have proved the Milky Way was made up of tiny stars, and to have seen four small bodies orbiting Jupiter. These last, with an eye to getting a position in Florence, he quickly named 'the Medicean stars'. He had also sent Cosimo de Medici, the Grand Duke of Tuscany, an excellent telescope for himself.

The Venetian Senate, perhaps realising that the rights to manufacture telescopes that Galileo had given them were worthless, froze his salary. However he had succeeded in impressing Cosimo and, in June 1610, only a month after his famous little book was published, Galileo resigned his post at Padua and became Chief Mathematician at the University of Pisa (without any teaching duties) and 'Mathematician and Philosopher' to the Grand Duke of Tuscany. In 1611 he visited Rome where he was treated as a leading celebrity; the Collegio Romano put on a grand dinner with speeches to honour Galileo's remarkable discoveries. He was also made a member of the Accademia dei Lincei (in fact the sixth member) and this was an honour which was especially important to Galileo who signed himself 'Galileo Galilei Linceo' from this time on.

While in Rome, and after his return to Florence, Galileo continued to make observations with his telescope. Already in the Starry Messenger he had given rough periods of the four moons of Jupiter, but more precise calculations were certainly not easy since it was difficult to identify from an observation which moon was I, which was II, which III, and which IV. He made a long series of observations and was able to give accurate periods by 1612. At one stage in the calculations he became very puzzled since the data he had recorded seemed inconsistent, but he had forgotten to take into account the motion of the Earth round the sun.

Galileo first turned his telescope on Saturn on 25 July 1610 and it appeared as three bodies (his telescope was not good enough to show the rings but made them appear as lobes on either side of the planet). Continued observations were puzzling indeed to Galileo as the bodies on either side of Saturn vanished when the ring system was edge on. Also in 1610 he discovered that, when seen in the telescope, the planet Venus showed phases like those of the Moon, and therefore must orbit the Sun not the Earth. This did not enable one to decide between the Copernican system, in which everything goes round the Sun, and that proposed by Tycho Brahe in which everything but the Earth (and Moon) goes round the Sun which in turn goes round the Earth. Most astronomers of the time in fact favoured Brahe's system and indeed distinguishing between the two by experiment was beyond the instruments of the day. However, Galileo knew that all his discoveries were evidence for Copernicanism, although not a proof. In fact it was his theory of falling bodies which was the most significant in this respect, for opponents of a moving Earth argued that if the Earth rotated and a body was dropped from a tower it should fall behind the tower as the Earth rotated while it fell. Since this was not observed in practice this was taken as strong evidence that the Earth was stationary. However Galileo already knew that a body would fall in the observed manner on a rotating Earth.

Other observations made by Galileo included the observation of sunspots. He reported these in Discourse on floating bodies which he published in 1612 and more fully in Letters on the sunspots which appeared in 1613. In the following year his two daughters entered the Franciscan Convent of St Matthew outside Florence, Virginia taking the name Sister Maria Celeste and Livia the name Sister Arcangela. Since they had been born outside of marriage, Galileo believed that they themselves should never marry. Although Galileo put forward many revolutionary correct theories, he was not correct in all cases. In particular when three comets appeared in 1618 he became involved in a controversy regarding the nature of comets. He argued that they were close to the Earth and caused by optical refraction. A serious consequence of this unfortunate argument was that the Jesuits began to see Galileo as a dangerous opponent.

Despite his private support for Copernicanism, Galileo tried to avoid controversy by not making public statements on the issue. However he was drawn into the controversy through Castelli who had been appointed to the chair of mathematics in Pisa in 1613. Castelli had been a student of Galileo's and he was also a supporter of Copernicus. At a meeting in the Medici palace in Florence in December 1613 with the Grand Duke Cosimo II and his mother the Grand Duchess Christina of Lorraine, Castelli was asked to explain the apparent contradictions between the Copernican theory and Holy Scripture. Castelli defended the Copernican position vigorously and wrote to Galileo afterwards telling him how successful he had been in putting the arguments. Galileo, less convinced that Castelli had won the argument, wrote Letter to Castelli to him arguing that the Bible had to be interpreted in the light of what science had shown to be true. Galileo had several opponents in Florence and they made sure that a copy of the Letter to Castelli was sent to the Inquisition in Rome. However, after examining its contents they found little to which they could object.

The Catholic Church's most important figure at this time in dealing with interpretations of the Holy Scripture was Cardinal Robert Bellarmine. He seems at this time to have seen little reason for the Church to be concerned regarding the Copernican theory. The point at issue was whether Copernicus had simply put forward a mathematical theory which enabled the calculation of the positions of the heavenly bodies to be made more simply or whether he was proposing a physical reality. At this time Bellarmine viewed the theory as an elegant mathematical one which did not threaten the established Christian belief regarding the structure of the universe.

In 1616 Galileo wrote the Letter to the Grand Duchess which vigorously attacked the followers of Aristotle. In this work, which he addressed to the Grand Duchess Christina of Lorraine, he argued strongly for a non-literal interpretation of Holy Scripture when the literal interpretation would contradict facts about the physical world proved by mathematical science. In this Galileo stated quite clearly that for him the Copernican theory is not just a mathematical calculating tool, but is a physical reality:-

I hold that the Sun is located at the centre of the revolutions of the heavenly orbs and does not change place, and that the Earth rotates on itself and moves around it. Moreover ... I confirm this view not only by refuting Ptolemy's and Aristotle's arguments, but also by producing many for the other side, especially some pertaining to physical effects whose causes perhaps cannot be determined in any other way, and other astronomical discoveries; these discoveries clearly confute the Ptolemaic system, and they agree admirably with this other position and confirm it.

Pope Paul V ordered Bellarmine to have the Sacred Congregation of the Index decide on the Copernican theory. The cardinals of the Inquisition met on 24 February 1616 and took evidence from theological experts. They condemned the teachings of Copernicus, and Bellarmine conveyed their decision to Galileo who had not been personally involved in the trial. Galileo was forbidden to hold Copernican views but later events made him less concerned about this decision of the Inquisition. Most importantly Maffeo Barberini, who was an admirer of Galileo, was elected as Pope Urban VIII. This happened just as Galileo's book Il saggiatore (The Assayer) was about to be published by the Accademia dei Lincei in 1623 and Galileo was quick to dedicate this work to the new Pope. The work described Galileo's new scientific method and contains a famous quote regarding mathematics:-

Philosophy is written in this grand book, the universe, which stands continually open to our gaze. But the book cannot be understood unless one first learns to comprehend the language and read the characters in which it is written. It is written in the language of mathematics, and its characters are triangles, circles, and other geometric figures without which it is humanly impossible to understand a single word of it; without these one is wandering in a dark labyrinth.

Pope Urban VIII invited Galileo to papal audiences on six occasions and led Galileo to believe that the Catholic Church would not make an issue of the Copernican theory. Galileo, therefore, decided to publish his views believing that he could do so without serious consequences from the Church. However by this stage in his life Galileo's health was poor with frequent bouts of severe illness and so even though he began to write his famous Dialogue in 1624 it took him six years to complete the work.

Galileo attempted to obtain permission from Rome to publish the Dialogue in 1630 but this did not prove easy. Eventually he received permission from Florence, and not Rome. In February 1632 Galileo published Dialogue Concerning the Two Chief Systems of the World - Ptolemaic and Copernican. It takes the form of a dialogue between Salviati, who argues for the Copernican system, and Simplicio who is an Aristotelian philosopher. The climax of the book is an argument by Salviati that the Earth moves which was based on Galileo's theory of the tides. Galileo's theory of the tides was entirely false despite being postulated after Kepler had already put forward the correct explanation. It was unfortunate, given the remarkable truths the Dialogue supported, that the argument which Galileo thought to give the strongest proof of Copernicus's theory should be incorrect.

Shortly after publication of Dialogue Concerning the Two Chief Systems of the World - Ptolemaic and Copernican the Inquisition banned its sale and ordered Galileo to appear in Rome before them. Illness prevented him from travelling to Rome until 1633. Galileo's accusation at the trial which followed was that he had breached the conditions laid down by the Inquisition in 1616. However a different version of this decision was produced at the trial rather than the one Galileo had been given at the time. The truth of the Copernican theory was not an issue therefore; it was taken as a fact at the trial that this theory was false. This was logical, of course, since the judgement of 1616 had declared it totally false.

Found guilty, Galileo was condemned to lifelong imprisonment, but the sentence was carried out somewhat sympathetically and it amounted to house arrest rather than a prison sentence. He was able to live first with the Archbishop of Siena, then later to return to his home in Arcetri, near Florence, but had to spend the rest of his life watched over by officers from the Inquisition. In 1634 he suffered a severe blow when his daughter Virginia, Sister Maria Celeste, died. She had been a great support to her father through his illnesses and Galileo was shattered and could not work for many months. When he did manage to restart work, he began to write Discourses and mathematical demonstrations concerning the two new sciences.

After Galileo had completed work on the Discourses it was smuggled out of Italy, and taken to Leyden in Holland where it was published. It was his most rigorous mathematical work which treated problems on impetus, moments, and centres of gravity. Much of this work went back to the unpublished ideas in De Motu from around 1590 and the improvements which he had worked out during 1602-1604. In the Discourses he developed his ideas of the inclined plane writing:-

I assume that the speed acquired by the same movable object over different inclinations of the plane are equal whenever the heights of those planes are equal.

He then described an experiment using a pendulum to verify his property of inclined planes and used these ideas to give a theorem on acceleration of bodies in free fall:-

The time in which a certain distance is traversed by an object moving under uniform acceleration from rest is equal to the time in which the same distance would be traversed by the same movable object moving at a uniform speed of one half the maximum and final speed of the previous uniformly accelerated motion.

After giving further results of this type he gives his famous result that the distance that a body moves from rest under uniform acceleration is proportional to the square of the time taken.

One would expect that Galileo's understanding of the pendulum, which he had since he was a young man, would have led him to design a pendulum clock. In fact he only seems to have thought of this possibility near the end of his life and around 1640 he did design the first pendulum clock. Galileo died in early 1642 but the significance of his clock design was certainly realised by his son Vincenzo who tried to make a clock to Galileo's plan, but failed.

It was a sad end for so great a man to die condemned of heresy. His will indicated that he wished to be buried beside his father in the family tomb in the Basilica of Santa Croce but his relatives feared, quite rightly, that this would provoke opposition from the Church. His body was concealed and only placed in a fine tomb in the church in 1737 by the civil authorities against the wishes of many in the Church. On 31 October 1992, 350 years after Galileo's death, Pope John Paul II gave an address on behalf of the Catholic Church in which he admitted that errors had been made by the theological advisors in the case of Galileo. He declared the Galileo case closed, but he did not admit that the Church was wrong to convict Galileo on a charge of heresy because of his belief that the Earth rotates round the sun

[behnam karami]

Leonardo da Vinci was educated in his father's house receiving the usual elementary education of reading, writing and arithmetic. In 1467 he became an apprentice learning painting, sculpture and acquiring technical and mechanical skills. He was accepted into the painters' guild in Florence in 1472 but he continued to work as an apprentice until 1477. From that time he worked for himself in Florence as a painter. Already during this time he sketched pumps, military weapons and other machines.

Between 1482 and 1499 Leonardo was in the service of the Duke of Milan. He was described in a list of the Duke's staff as a painter and engineer of the duke. As well as completing six paintings during his time in the Duke's service he also advised on architecture, fortifications and military matters. He was also considered as a hydraulic and mechanical engineer.

During his time in Milan, Leonardo became interested in geometry. He read Leon Battista Alberti's books on architecture and Piero della Francesca's On Perspective in Painting. He illustrated Pacioli's Divina proportione and he continued to work with Pacioli and is reported to have neglected his painting because he became so engrossed in geometry.

Leonardo studied Euclid and Pacioli's Suma and began his own geometry research, sometimes giving mechanical solutions. He gave several methods of squaring the circle, again using mechanical methods. He wrote a book, around this time, on the elementary theory of mechanics which appeared in Milan around 1498.

Leonardo certainly realised the possibility of constructing a telescope and in Codex Atlanticus written in 1490 he talks of

... making glasses to see the Moon enlarged.

In a later work, Codex Arundul written about 1513, he says that

... in order to observe the nature of the planets, open the roof and bring the image of a single planet onto the base of a concave mirror. The image of the planet reflected by the base will show the surface of the planet much magnified.

. He understood the fact that the Moon shone with reflected light from the Sun and he correctly explained the 'old Moon in the new Moon's arms' as the Moon's surface illuminated by light reflected from the Earth. He thought of the Moon as being similar to the Earth with seas and areas of solid ground.

In 1499 the French armies entered Milan and the Duke was defeated. Some months later Leonardo left Milan together with Pacioli. He travelled to Mantua, Venice and finally reached Florence. Although he was under constant pressure to paint, mathematical studies kept him away from his painting activity much of the time. He was for a time employed by Cesare Borgia as a

senior military architect and general engineer.

By 1503 he was back in Florence advising on the project to divert the River Arno behind Pisa to help with the siege of the city which the Florentines were engaged in. He then produced plans for a canal to allow Florence access to the sea. The canal was never built nor was the River Arno diverted.

In 1506 Leonardo returned for a second period in Milan. Again his scientific work took precedence over his painting and he was involved in hydrodynamics, anatomy, mechanics, mathematics and optics.

In 1513 the French were removed from Milan and Leonardo moved again, this time to Rome. However he seems to have led a lonely life in Rome again more devoted to mathematical studies and technical experiments in his studio than to painting. After three years of unhappiness Leonardo accepted an invitation from King Francis I to enter his service in France.

The French King gave Leonardo the title of

first painter, architect, and mechanic of the King

but seems to have left him to do as he pleased. This means that Leonardo did no painting except to finish off some works he had with him, St. John the Baptist, Mona Lisa and the Virgin and Child with St Anne. Leonardo spent most of his time arranging and editing his scientific studies.

[behnam karami]

Pierre Fermat's father was a wealthy leather merchant and second consul of Beaumont- de- Lomagne. Pierre had a brother and two sisters and was almost certainly brought up in the town of his birth. Although there is little evidence concerning his school education it must have been at the local Franciscan monastery.

He attended the University of Toulouse before moving to Bordeaux in the second half of the 1620s. In Bordeaux he began his first serious mathematical researches and in 1629 he gave a copy of his restoration of Apollonius's Plane loci to one of the mathematicians there. Certainly in Bordeaux he was in contact with Beaugrand and during this time he produced important work on maxima and minima which he gave to Étienne d'Espagnet who clearly shared mathematical interests with Fermat.

From Bordeaux Fermat went to Orléans where he studied law at the University. He received a degree in civil law and he purchased the offices of councillor at the parliament in Toulouse. So by 1631 Fermat was a lawyer and government official in Toulouse and because of the office he now held he became entitled to change his name from Pierre Fermat to Pierre de Fermat.

For the remainder of his life he lived in Toulouse but as well as working there he also worked in his home town of Beaumont-de-Lomagne and a nearby town of Castres. From his appointment on 14 May 1631 Fermat worked in the lower chamber of the parliament but on 16 January 1638 he was appointed to a higher chamber, then in 1652 he was promoted to the highest level at the criminal court. Still further promotions seem to indicate a fairly meteoric rise through the profession but promotion was done mostly on seniority and the plague struck the region in the early 1650s meaning that many of the older men died. Fermat himself was struck down by the plague and in 1653 his death was wrongly reported, then corrected:-

I informed you earlier of the death of Fermat. He is alive, and we no longer fear for his health, even though we had counted him among the dead a short time ago.

The following report, made to Colbert the leading figure in France at the time, has a ring of truth:-

Fermat, a man of great erudition, has contact with men of learning everywhere. But he is rather preoccupied, he does not report cases well and is confused.

Of course Fermat was preoccupied with mathematics. He kept his mathematical friendship with Beaugrand after he moved to Toulouse but there he gained a new mathematical friend in Carcavi. Fermat met Carcavi in a professional capacity since both were councillors in Toulouse but they both shared a love of mathematics and Fermat told Carcavi about his mathematical discoveries.

In 1636 Carcavi went to Paris as royal librarian and made contact with Mersenne and his group. Mersenne's interest was aroused by Carcavi's descriptions of Fermat's discoveries on falling bodies, and he wrote to Fermat. Fermat replied on 26 April 1636 and, in addition to telling Mersenne about errors which he believed that Galileo had made in his description of free fall, he also told Mersenne about his work on spirals and his restoration of Apollonius's Plane loci. His work on spirals had been motivated by considering the path of free falling bodies and he had used methods generalised from Archimedes' work On spirals to compute areas under the spirals. In addition Fermat wrote:-

I have also found many sorts of analyses for diverse problems, numerical as well as geometrical, for the solution of which Viète's analysis could not have sufficed. I will share all of this with you whenever you wish and do so without any ambition, from which I am more exempt and more distant than any man in the world.

It is somewhat ironical that this initial contact with Fermat and the scientific community came through his study of free fall since Fermat had little interest in physical applications of mathematics. Even with his results on free fall he was much more interested in proving geometrical theorems than in their relation to the real world. This first letter did however contain two problems on maxima which Fermat asked Mersenne to pass on to the Paris mathematicians and this was to be the typical style of Fermat's letters, he would challenge others to find results which he had already obtained.

Roberval and Mersenne found that Fermat's problems in this first, and subsequent, letters were extremely difficult and usually not soluble using current techniques. They asked him to divulge his methods and Fermat sent Method for determining Maxima and Minima and Tangents to Curved Lines, his restored text of Apollonius's Plane loci and his algebraic approach to geometry Introduction to Plane and Solid Loci to the Paris mathematicians.

His reputation as one of the leading mathematicians in the world came quickly but attempts to get his work published failed mainly because Fermat never really wanted to put his work into a polished form. However some of his methods were published, for example Hérigone added a supplement containing Fermat's methods of maxima and minima to his major work Cursus mathematicus. The widening correspondence between Fermat and other mathematicians did not find universal praise. Frenicle de Bessy became annoyed at Fermat's problems which to him were impossible. He wrote angrily to Fermat but although Fermat gave more details in his reply, Frenicle de Bessy felt that Fermat was almost teasing him.

However Fermat soon became engaged in a controversy with a more major mathematician than Frenicle de Bessy. Having been sent a copy of Descartes' La Dioptrique by Beaugrand, Fermat paid it little attention since he was in the middle of a correspondence with Roberval and Étienne Pascal over methods of integration and using them to find centres of gravity. Mersenne asked him to give an opinion on La Dioptrique which Fermat did, describing it as

groping about in the shadows.

He claimed that Descartes had not correctly deduced his law of refraction since it was inherent in his assumptions. To say that Descartes was not pleased is an understatement. Descartes soon found reason to feel even more angry since he viewed Fermat's work on maxima, minima and tangents as reducing the importance of his own work La Géométrie which Descartes was most proud of and which he sought to show that his Discours de la méthode alone could give.

Descartes attacked Fermat's method of maxima, minima and tangents. Roberval and Étienne Pascal became involved in the argument and eventually so did Desargues who Descartes asked to act as a referee. Fermat proved correct and eventually Descartes admitted this writing:-

... seeing the last method that you use for finding tangents to curved lines, I can reply to it in no other way than to say that it is very good and that, if you had explained it in this manner at the outset, I would have not contradicted it at all.

Did this end the matter and increase Fermat's standing? Not at all since Descartes tried to damage Fermat's reputation. For example, although he wrote to Fermat praising his work on determining the tangent to a cycloid (which is indeed correct), Descartes wrote to Mersenne claiming that it was incorrect and saying that Fermat was inadequate as a mathematician and a thinker. Descartes was important and respected and thus was able to severely damage Fermat's reputation.

The period from 1643 to 1654 was one when Fermat was out of touch with his scientific colleagues in Paris. There are a number of reasons for this. Firstly pressure of work kept him from devoting so much time to mathematics. Secondly the Fronde, a civil war in France, took place and from 1648 Toulouse was greatly affected. Finally there was the plague of 1651 which must have had great consequences both on life in Toulouse and of course its near fatal consequences on Fermat himself. However it was during this time that Fermat worked on number theory.

Fermat is best remembered for this work in number theory, in particular for Fermat's Last Theorem. This theorem states that

x^n + y^n = z^n

has no non-zero integer solutions for x, y and z when n > 2. Fermat wrote, in the margin of Bachet's translation of Diophantus's Arithmetica

I have discovered a truly remarkable proof which this margin is too small to contain.

These marginal notes only became known after Fermat's son Samuel published an edition of Bachet's translation of Diophantus's Arithmetica with his father's notes in 1670.

It is now believed that Fermat's 'proof' was wrong although it is impossible to be completely certain. The truth of Fermat's assertion was proved in June 1993 by the British mathematician Andrew Wiles, but Wiles withdrew the claim to have a proof when problems emerged later in 1993. In November 1994 Wiles again claimed to have a correct proof which has now been accepted.

Unsuccessful attempts to prove the theorem over a 300 year period led to the discovery of commutative ring theory and a wealth of other mathematical discoveries.

Fermat's correspondence with the Paris mathematicians restarted in 1654 when Blaise Pascal, Étienne Pascal's son, wrote to him to ask for confirmation about his ideas on probability. Blaise Pascal knew of Fermat through his father, who had died three years before, and was well aware of Fermat's outstanding mathematical abilities. Their short correspondence set up the theory of probability and from this they are now regarded as joint founders of the subject. Fermat however, feeling his isolation and still wanting to adopt his old style of challenging mathematicians, tried to change the topic from probability to number theory. Pascal was not interested but Fermat, not realising this, wrote to Carcavi saying:-

I am delighted to have had opinions conforming to those of M Pascal, for I have infinite esteem for his genius... the two of you may undertake that publication, of which I consent to your being the masters, you may clarify or supplement whatever seems too concise and relieve me of a burden that my duties prevent me from taking on.

However Pascal was certainly not going to edit Fermat's work and after this flash of desire to have his work published Fermat again gave up the idea. He went further than ever with his challenge problems however:-

Two mathematical problems posed as insoluble to French, English, Dutch and all mathematicians of Europe by Monsieur de Fermat, Councillor of the King in the Parliament of Toulouse.

His problems did not prompt too much interest as most mathematicians seemed to think that number theory was not an important topic. The second of the two problems, namely to find all solutions of Nx^2 + 1 = y^2 for N not a square, was however solved by Wallis and Brouncker and they developed continued fractions in their solution. Brouncker produced rational solutions which led to arguments. Frenicle de Bessy was perhaps the only mathematician at that time who was really interested in number theory but he did not have sufficient mathematical talents to allow him to make a significant contribution.

Fermat posed further problems, namely that the sum of two cubes cannot be a cube (a special case of Fermat's Last Theorem which may indicate that by this time Fermat realised that his proof of the general result was incorrect), that there are exactly two integer solutions of x^2 + 4 = y^3 and that the equation x^2 + 2 = y^3 has only one integer solution. He posed problems directly to the English. Everyone failed to see that Fermat had been hoping his specific problems would lead them to discover, as he had done, deeper theoretical results.

Around this time one of Descartes' students was collecting his correspondence for publication and he turned to Fermat for help with the Fermat - Descartes correspondence. This led Fermat to look again at the arguments he had used 20 years before and he looked again at his objections to Descartes' optics. In particular he had been unhappy with Descartes' description of refraction of light and he now settled on a principle which did in fact yield the sine law of refraction that Snell and Descartes had proposed. However Fermat had now deduced it from a fundamental property that he proposed, namely that light always follows the shortest possible path. Fermat's principle, now one of the most basic properties of optics, did not find favour with mathematicians at the time.

In 1656 Fermat had started a correspondence with Huygens. This grew out of Huygens interest in probability and the correspondence was soon manipulated by Fermat onto topics of number theory. This topic did not interest Huygens but Fermat tried hard and in New Account of Discoveries in the Science of Numbers sent to Huygens via Carcavi in 1659, he revealed more of his methods than he had done to others.

Fermat described his method of infinite descent and gave an example on how it could be used to prove that every prime of the form 4k + 1 could be written as the sum of two squares. For suppose some number of the form 4k + 1 could not be written as the sum of two squares. Then there is a smaller number of the form 4k + 1 which cannot be written as the sum of two squares. Continuing the argument will lead to a contradiction. What Fermat failed to explain in this letter is how the smaller number is constructed from the larger. One assumes that Fermat did know how to make this step but again his failure to disclose the method made mathematicians lose interest. It was not until Euler took up these problems that the missing steps were filled in.

Fermat is described as

Secretive and taciturn, he did not like to talk about himself and was loath to reveal too much about his thinking. ... His thought, however original or novel, operated within a range of possibilities limited by that [1600 - 1650] time and that [France] place.

Carl B Boyer, , says:-

Recognition of the significance of Fermat's work in analysis was tardy, in part because he adhered to the system of mathematical symbols devised by François Viète, notations that Descartes' "Géométrie" had rendered largely obsolete. The handicap imposed by the awkward notations operated less severely in Fermat's favourite field of study, the theory of numbers, but here, unfortunately, he found no correspondent to share his enthusiasm.

[behnam karami]

Stephen Hawking's parents lived in London where his father was undertaking research into medicine. However, London was a dangerous place during World War II and Stephen's mother was sent to the safer town of Oxford where Stephen was born. The family were soon back together living in Highgate, north London, where Stephen began his schooling.

In 1950 Stephen's father moved to the Institute for Medical Research in Mill Hill. The family moved to St Albans so that the journey to Mill Hill was easier. Stephen attended St Albans High School for Girls (which took boys up to the age of 10). When he was older he attended St Albans school but his father wanted him to take the scholarship examination to go to Westminster public school. However Stephen was ill at the time of the examinations and remained at St Albans school which he had attended from the age of 11. Stephen writes in :-

I got an education there that was as good as, if not better than, that I would have had at Westminster. I have never found that my lack of social graces has been a hindrance.

Hawking wanted to specialise in mathematics in his last couple of years at school where his mathematics teacher had inspired him to study the subject. However Hawking's father was strongly against the idea and Hawking was persuaded to make chemistry his main school subject. Part of his father's reasoning was that he wanted Hawking to go to University College, Oxford, the College he himself had attended, and that College had no mathematics fellow.

In March 1959 Hawking took the scholarship examinations with the aim of studying natural sciences at Oxford. He was awarded a scholarship, despite feeling that he had performed badly, and at University College he specialised in physics in his natural sciences degree. He only just made a First Class degree in 1962 and he explains how the attitude of the time worked against him:-

The prevailing attitude at Oxford at that time was very anti-work. You were supposed to be brilliant without effort, or accept your limitations and get a fourth-class degree. To work hard to get a better class of degree was regarded as the mark of a grey man - the worst epithet in the Oxford vocabulary.

From Oxford, Hawking moved to Cambridge to take up research in general relativity and cosmology, a difficult area for someone with only a little mathematical background. Hawking had noticed that he was becoming rather clumsy during his last year at Oxford and, when he returned home for Christmas 1962 at the end of his first term at Cambridge, his mother persuaded him to see a doctor.

In early 1963 he spent two weeks having tests in hospital and motor neurone disease (Lou Gehrig's disease) was diagnosed. His condition deteriorated quickly and the doctors predicted that he would not live long enough to complete his doctorate. However Hawking writes:-

... although there was a cloud hanging over my future, I found to my surprise that I was enjoying life in the present more than I had before. I began to make progress with my research...

The reason that his research progressed was that he met a girl he wanted to marry and realised he had to complete his doctorate to get a job so:-

... I therefore started working for the first time in my life. To my surprise I found I liked it.

After completing his doctorate in 1966 Hawking was awarded a fellowship at Gonville and Caius College, Cambridge. At first his position was that of Research Fellow, but later he became a Professorial Fellow at Gonville and Caius College. In 1973 he left the Institute of Astronomy and joined to the Department of Applied Mathematics and Theoretical Physics at Cambridge. He became Professor of Gravitational Physics at Cambridge in 1977. In 1979 Hawking was appointed Lucasian Professor of Mathematics at Cambridge. The man born 300 years to the day after Galileo died now held Newton's chair at Cambridge.

Between 1965 and 1970 Hawking worked on singularities in the theory of general relativity devising new mathematical techniques to study this area of cosmology. Much of his work in this area was done in collaboration with Roger Penrose who, at that time, was at Birkbeck College, London. From 1970 Hawking began to apply his previous ideas to the study of black holes.

Continuing this work on black holes, Hawking discovered in 1970 a remarkable property. Using quantum theory and general relativity he was able to show that black holes can emit radiation. His success with proving this made him work from that time on combining the theory of general relativity with quantum theory. In 1971 Hawking investigated the creation of the Universe and predicted that, following the big bang, many objects as heavy as 109 tons but only the size of a proton would be created. These mini black holes have large gravitational attraction governed by general relativity, while the laws of quantum mechanics would apply to objects that small.

Another remarkable achievement of Hawking's using these techniques was his no boundary proposal made in 1983 with Jim Hartle of Santa Barbara. Hawking explains that this would mean:-

... that both time and space are finite in extent, but they don't have any boundary or edge. ... there would be no singularities, and the laws of science would hold everywhere, including at the beginning of the universe.

In 1982 Hawking decided to write a popular book on cosmology. By 1984 he had produced a first draft of A Brief History of Time. However Hawking was to suffer a further illness:-

I was in Geneva, at CERN, the big particle accelerator, in the summer of 1985. ... I caught pneumonia and was rushed to hospital. The hospital in Geneva suggested to my wife that it was not worth keeping the life support machine on. But she was having none of that. I was flown back to Addenbrooke's Hospital in Cambridge, where a surgeon called Roger Grey carried out a tracheotomy. That operation saved my life but took away my voice.

Hawking was given a computer system to enable him to have an electronic voice. It was with these difficulties that he revised the draft of A Brief History of Time which was published in 1988. The book broke sales records in a way that it would have been hard to predict. By May 1995 it had been in The Sunday Times best-sellers list for 237 weeks breaking the previous record of 184 weeks. This feat is recorded in the 1998 Guinness Book of Records. Also recorded there is the fact that the paperback edition was published on 6 April 1995 and reached number one in the best sellers in 3 days. By April 1993 there had been 40 hardback editions of A Brief History of Time in the United States and 39 hardback editions in the UK.

Of course Hawking has received, and continues to receive, a large number of honours. He was elected a Fellow of the Royal Society in 1974, being one of its youngest fellows. He was awarded the CBE in 1982, and was made a Companion of Honour in 1989. Hawking has also received many foreign awards and prizes and was elected a Member of the National Academy of Sciences of the United States.

[Mohammad Hosseyn]

Albert Einstein Biography (1879–1955(


Physicist. Born on March 14, 1879, in Ulm, Germany. Albert Einstein changed our understanding of the physical world and is considered the one of the greatest thinkers in science ever. He was, however, not such a good student when he was young. He struggled to get into Zürich Polytechnic, failing the entrance exam once. After graduating in 1900, Einstein had a hard time finding a job. He eventually landed a job at the Swiss Patent Office in 1902. This job gave him the time to do some of his most significant work, writing theoretic papers on physics, most notably his theories of relativity.

In 1909, Albert Einstein joined the faculty of University of Zürich as an associate professor. During the next few years, he also became a professor at the German University in Prague and his alma mater, Zürich Polytechnic. He began working at the Prussian Academy of Sciences in Berlin in 1914 and soon finished his work on his general theory of relativity, which was published in 1916. For his contributions to his field, Einstein was awarded the Nobel Prize for Physics in 1921. He became a type of scientific star with people crowding lecture halls and auditoriums just to hear him talk about his theories.

In 1933, Albert Einstein left Germany to escape the increasingly harsh treatment of Jews in Hitler's Germany. He went to work at the Institute of Advanced Study at Princeton University in New Jersey. He later became a U.S. citizen. During World War II, Einstein wrote a letter to President Franklin D. Roosevelt expressing his concerns about the atomic bomb.

After retiring from the institute in 1945, Albert Einstein spent much of his time giving lectures and speeches and working on theories. He was asked to become the president of Israel in 1952 but turned the position down. In his final years, he was hospitalized with stomach pains several times and his health began to decline. Albert Einstein died on April 18, 1955. One of science’s greatest minds, he was named Person of the Century by Time magazine in 2000.

Twice married, Albert Einstein had two children with first wife Mileva. The couple divorced in 1919. That same year, he married his cousin Elsa Löwenthal.

© 2007 A&E Television Networks. All rights reserved.

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(Margaret Atwood (1939 - Present

Margaret Atwood was born in Ottawa, Ontario, in 1939. She is the daughter of a forest entomologist, and spent part of her early years in the bush of North Quebec. She moved, at the age of seven, to Toronto. She studied at the University of Toronto, then took her masters degree at Radcliffe College, Massachusetts, in 1962

She is Canada's most eminent novelist and poet, and also writes short stories, critical studies, screenplays, radio scripts and books for children, her works having been translated into over 30 languages. Her reviews and critical articles have appeared in various eminent magazines and she has also edited many books, including The New Oxford Book of Canadian Verse in English (1983) and, with Robert Weaver, The Oxford Book of Canadian Short Stories in English (1986). She has been a full-time writer since 1972, first teaching English, then holding a variety of academic posts and writer residencies. She was President of the Writers Union of Canada from 1981-1982 and President of PEN, Canada from 1984-1986

Her first publication was a book of poetry, The Circle Game (1964), which received the Governor General's Literary Award for Poetry (Canada). Several more poetry collections have followed since, including Interlunar (1988), Morning in the Burned House (1995) and the latest, Eating Fire: Selected Poetry, 1965-1995 (1998). Also a short story writer, her books of short fiction include Dancing Girls and Other Stories (1982), Wilderness Tips (1991), and Good Bones (1992)

She is perhaps best known, however, for her novels, in which she creates strong, often enigmatic, women characters and excels in telling open-ended stories, while dissecting contemporary urban life and sexual politics. Her first novel was The Edible Woman (1969), about a woman who cannot eat and feels that she is being eaten. This was followed by: Surfacing (1973), which deals with a woman's investigation into her father's disappearance; Lady Oracle (1977); Life Before Man (1980); Bodily Harm (1982), the story of Rennie Wilford, a young journalist recuperating on a Caribbean island; and The Handmaid's Tale (1986), a futuristic novel describing a woman's struggle to break free from her role. Her latest novels have been: Cat's Eye (1989), dealing with the subject of bullying among young girls; The Robber Bride (1993); Alias Grace (1996), the tale of a woman who is convicted for her involvement in two murders about which she claims to have no memory; The Blind Assassin (2000), a multi-layered family memoir; and Oryx and Crake (2003), a vision of a scientific dystopia, which was shortlisted for the 2003 Man Booker Prize for Fiction and for the 2004 Orange Prize for Fictio

These novels have received many awards. Alias Grace, The Handmaid's Tale and Cat's Eye have all been shortlisted for the Booker Prize for Fiction. The Blind Assassin was successful in winning this prize in 2000

Some of Margaret Atwood's books have been adapted for stage and screen. A film based on Alias Grace is currently being made, and a four-part mini-seres based on The Blind Assassin and screenplay for The Robber Bride are also underway. The theatrical version of The Edible Woman is currently also being successfully staged. The Handmaid's Tale was adapted for screen by Harold Pinter in a film directed by Volker Schlorndorf, released in 1990, and is now being staged as an opera by Poul Ruders. The British Premiere was performed by English National Opera at the Coliseum, London, in April 2003

Margaret Atwood is a Fellow of the Royal Society of Canada, has been presented with the Order of Ontario and the Norwegian Order of Literary Merit, and has been awarded sixteen honorary degrees. She has lived in many places including Canada, England, Scotland and France, and currently lives in Toronto

.(Her latest book is a collection of short stories, The Tent (2006

...Margaret Atwood Poems

:Here is an example of her poems
You Fit Into Me
You fit into me
like a hook into an eye
A fish hook
An open eye
by Margaret Atwood

Books by Margaret Atwood

]

Margaret Atwood Quotes

"A divorce is like an amputation: you survive it, but there's less of you."

"A ratio of failures is built into the process of writing. The wastebasket has evolved for a reason."

"A word after a word after a word is power."

"An eye for an eye only leads to more blindness."

"Because I am a mother, I am capable of being shocked: as I never was when I was not one."

"I hope that people will finally come to realize that there is only one 'race' - the human race - and that we are all members of it."

"I've never understood why people consider youth a time of freedom and joy. It's probably because they have forgotten their own."

"If I were going to convert to any religion I would probably choose Catholicism because it at least has female saints and the Virgin Mary."

"If the national mental illness of the United States is megalomania, that of Canada is paranoid schizophrenia."

"In the spring, at the end of the day, you should smell like dirt."

"Never pray for justice, because you might get some."

"Popular art is the dream of society; it does not examine itself."

"The Eskimo has fifty-two names for snow because it is important to them; there ought to be as many for love."

"Their mothers had finally caught up to them and been proven right. There were consequences after all but they were the consequences to things you didn't even know you'd done."

"We still think of a powerful man as a born leader and a powerful woman as an anomaly."

"You need a certain amount of nerve to be a writer."

[kenvyPetersson]

Now that you’ve found your new dream home, where do you start? With a gazillion home lenders and mortgage brokers it’s a challenge. According to the Mortgage Bankers Association, each year first time home buyers borrow over 980 billion dollars in loans. But the question still remains — how do you shop for the best mortgage rate when you have bad credit problems?

With all of today’s conveniences, obtaining a first time homeowner mortgage is really pretty simple. However, there are many factors involved, which can seem confusing if you're a first- time buyer.. To clarify the process for new home buyers the following 11 steps will assist you in shopping for the prime rate you deserve.

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nikole kidman
actrees nicole kidman was born in hoaoluu hawaii in 1967.her father an australian was a student in hawaii at the time.
when she was 7 the family returned to australia and kidman grew up in suburb of sydney and.............a