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An invitation to the mathematics of Fermat-Wiles

معرفی کتاب «An invitation to the mathematics of Fermat-Wiles» نوشتهٔ Brooks Author Landon و Yves Hellegouarch; Hellegouarch، منتشرشده توسط نشر Academic; Academic Press در سال 2001. این کتاب در فرمت pdf، زبان انگلیسی ارائه شده است.

Assuming only modest knowledge of undergraduate level math, Invitation to the Mathematics of Fermat-Wiles presents diverse concepts required to comprehend Wiles' extraordinary proof. Furthermore, it places these concepts in their historical context. This book can be used in introduction to mathematics theories courses and in special topics courses on Fermat's last theorem. It contains themes suitable for development by students as an introduction to personal research as well as numerous exercises and problems. However, the book will also appeal to the inquiring and mathematically informed reader intrigued by the unraveling of this fascinating puzzle. Key Features * Rigorously presents the concepts required to understand Wiles' proof, assuming only modest undergraduate level math * Sets the math in its historical context * Contains several themes that could be further developed by student research and numerous exercises and problems * Written by Yves Hellegouarch, who himself made an important contribution to the proof of Fermat's last theorem * Written by Yves Hellegouarch, who himself made an important contribution to the proof of Fermat's last theorem. Assuming only modest knowledge of undergraduate level math, Invitation to the Mathematics of Fermat-Wiles presents diverse concepts required to comprehend Wiles' extraordinary proof. Furthermore, it places these concepts in their historical context.

This book can be used in introduction to mathematics theories courses and in special topics courses on Fermat's last theorem. It contains themes suitable for development by students as an introduction to personal research as well as numerous exercises and problems. However, the book will also appeal to the inquiring and mathematically informed reader intrigued by the unraveling of this fascinating puzzle.

Key Features
* Rigorously presents the concepts required to understand Wiles' proof, assuming only modest undergraduate level math
* Sets the math in its historical context
* Contains several themes that could be further developed by student research and numerous exercises and problems
* Written by Yves Hellegouarch, who himself made an important contribution to the proof of Fermat's last theorem
* Written by Yves Hellegouarch, who himself made an important contribution to the proof of Fermat's last theorem. "'To decompose a cube into two other cubes, a fourth power, and generally an arbitrary power into two of the same powers above the second power, is an impossible thing and I have certainly found its admirable proof. This narrow margin would not contain it.' 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. Invitation to the Mathematics of Fermat-Wiles collects and expounds diverse mathematical developments that helped lay the foundations for Wiles' proof." -- Publisher The goal of this book is to give a brief description of the steps leading to the solution of a problem which was first raised by Pierre de Fermat in the margin of his copy of Bachet de Meziriac's translation of Diophantus' Arithmetica.
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