Mathematicians Encyclopedia Entry 1779423019
Andrew Wiles
SUMMARY: Andrew Wiles is a British mathematician renowned for solving Fermat's Last Theorem, a problem that had gone unsolved for over 350 years.
Overview
Andrew Wiles is a British mathematician born on April 11, 1953, in Cambridge, England. He is best known for his groundbreaking work on number theory, particularly his proof of Fermat's Last Theorem (FLT). Wiles' achievement is considered one of the most significant in mathematics in the 20th century, and it has had a profound impact on the field of number theory.
Wiles' interest in mathematics began at an early age, and he was particularly drawn to number theory. He studied mathematics at Clare College, Cambridge, and later earned his Ph.D. in mathematics from the University of Oxford. After completing his education, Wiles held various academic positions, including a stint at Princeton University.
Wiles' work on FLT began in the 1980s, and it took him over seven years to complete the proof. The theorem, proposed by Pierre de Fermat in 1637, states that there are no integer solutions to the equation a^n + b^n = c^n for n > 2. Wiles' proof, which was announced in 1994, used modular forms and elliptic curves to demonstrate the impossibility of integer solutions.
History/Background
Fermat's Last Theorem was first proposed by Pierre de Fermat in 1637. Fermat claimed to have a proof, but unfortunately, it was lost after his death. Over the centuries, many mathematicians attempted to prove the theorem, but none were successful. In the 19th century, mathematicians such as Sophie Germain and Ernst Kummer made significant contributions to the field of number theory, but they were unable to prove FLT.
In the 20th century, mathematicians such as David Hilbert and André Weil made further progress on the problem. However, it was not until the 1980s that Wiles began working on a proof. Wiles' approach was to use modular forms and elliptic curves to demonstrate the impossibility of integer solutions. He worked in secrecy for over seven years, and his proof was finally announced in 1994.
Key Information
* Fermat's Last Theorem: Wiles' proof of FLT was announced in 1994 and was published in a series of papers in 1995.
* Modular forms: Wiles used modular forms to demonstrate the impossibility of integer solutions to FLT.
* Elliptic curves: Wiles used elliptic curves to construct a proof of FLT.
* Number theory: Wiles' work on FLT is considered a major contribution to the field of number theory.
* Mathematical community: Wiles' proof of FLT was met with widespread acclaim in the mathematical community.
Significance
Wiles' proof of Fermat's Last Theorem has had a profound impact on the field of mathematics. It has opened up new areas of research in number theory and has led to a greater understanding of the properties of integers. Wiles' work has also inspired a new generation of mathematicians to pursue careers in number theory.
INFOBOX:
- Name: Andrew John Wiles
- Type: Mathematician
- Date: April 11, 1953
- Location: Cambridge, England
- Known For: Proof of Fermat's Last Theorem
TAGS: Andrew Wiles, Fermat's Last Theorem, Modular Forms, Elliptic Curves, Number Theory, British Mathematician, Mathematical Community, Mathematical Breakthrough, Mathematical Legacy.
