Product Description
The proof of Fermat's Last Theorem, as a milestone in the evolution of the intellect of mankind and, in particular, of the pursuit of pure thought, is of such magnitude and importance that an exposition of the proof accessible to the layman is in order.
This book will provide to anyone, who is willing to expend some effort, at least a glimpse of the basic ideas and components of the proof and of some of the people who were responsible for it.
This book would be of interest to students, who want to determine if they have the aptitude to pursue mathematics or who want to get a concise overview of an important area of modern mathematics and of some of the concepts and techniques that are involved in it.
It would also be of interest to the professional mathematician, who wants to get a concise, but accurate overview of the entire proof.
About the Author
The author holds a B.Sc. in electrical engineering, an M.A. and a Ph.D. in pure mathematics. He has more than forty-five mathematics publications concerning topology, Fourier analysis, analytic number theory, arithmetic algebraic geometry, and automorphic functions theory. Table of Contents or Excerpts Preface Introduction Chapter 1. Number Theory Chapter 2. Set Theory Chapter 3. Algebra Chapter 4. Automorphic Function Theory Chapter 5. Elliptic Curve Theory Chapter 6. The Proof Epilogue Cast of Characters Acknowledgements Bibliography Index Introduction Fermat\'s Last Theorum states that if n is an integer greater than 2, the equation xn + yn = zn has no solution if x, y and z are restricted to being non-zero integers. The French mathematician and jurist, Pierre de Fermat (1601-1665), asserted in 1637 that he possessed a truly marvelous proof, which was too long to write in the margin of his copy of Book II of the Arithmetica, written (c. AD 250) by Diophantus of Alexandria. For some 350 years after Fermat\'s claim no valid proof had been constructed albeit it had attracted the attention of some of the world\'s greatest mathematicians. In fact a substantial amount of modern mathematics evolved from attempts by experts to construct a valid proof. It became one of the greatest unsolved problems in all of mathematics. Perhaps the strong appeal of the problem is the simplicity and elegance of its statement contrasted with the apparent hopelessness of finding an elementary way to establish it. My book, The Fermat Diary, presents an account of the events and personalities associated with the proof of Fermat\'s Last Theorem (cf. [84]). In the next chapters we present a mathematical sketch of the proof together with some background material to help in understanding it.