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Invitation to the Mathematics of Fermat-Wiles (Hardback)
Scrawled as an aside in the margin of Fermat's copy of Diophantus' Arithmetica lies the original formulation of mathematics' most famous enigma: Fermat's last theorem. For 350 years mathematicians struggled with the theorem until, on the 19th of September 1994, Andrew Wiles presented a proof." — From the back cover
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VERY GOOD: This book is free of writing and was printed on acid-free paper. It shows only slight signs of use and wear.
Continued from the back cover: “Invitation to the Mathematics of Fermat-Wiles collects and expounds diverse mathematical developments that helped lay the foundations for Wiles’ proof.
“This book is a translation from the second edition of the French version.
- Rigorously presents concepts required to get a grasp of Wiles’ proof, assuming only modest undergraduate level math.
- Sets the math in its historical context.
- Contains several themes suitable for development by students as an introduction to personal research as well as numerous exercises and problems.
- Written by Yves Hellegouarch, who himself made an important contribution to the proof of Fermat’s last theorem.
“Invitation to the Mathematics of Fermat-Wiles is accessible without compromising the rigor of its mathematical exposition. It could be used as the basis for special courses on Fermat’s last theorem or to provide an undergraduate or graduate level introduction to a wide range of theories (e.g. commutative algebra, field theory, representations of linear groups, algebraic geometry and functions of a complex variable). However, the book is principally aimed at the inquiring and mathematically informed reader who is intrigued by the unraveling of this fascinating puzzle.”
- Elliptic functions
- Numbers and Groups
- Elliptic curves
- Modular forms
- New paradigms, new enigmas
The book concludes with “Appendix: The origin of the elliptic approach to Fermat’s last theorem,” “Bibliography,” and “Index.”
- Hellegouarch, Yves
- Academic Press
- Publish Date:
- 2002 (First Printing)
- Weight (pounds):
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"Starting in the fall of 1986, I combined my interests in number theory and history by teaching a one-year course in number theory from a historical prospective. The course used historical highlights to show the development of various topics, and I included some discussion about the lives of famous number theorists. My lecture notes for the course turned into a more formal set of notes, which turned into this book. Both the spirit and organization of material in the book remain those of my original lectures." — Jay R. Goldman, author, in the Preface