Format:
1 online resource (218 pages)
ISBN:
9781470416270
Series Statement:
Translations of Mathematical Monographs v.243
Content:
This book, together with the companion volume, Fermat's Last Theorem: The proof, presents in full detail the proof of Fermat's Last Theorem given by Wiles and Taylor. With these two books, the reader will be able to see the whole picture of the proof to appreciate one of the deepest achievements in the history of mathematics. Crucial arguments, including the so-called 3-5 trick, R=T theorem, etc., are explained in depth. The proof relies on basic background materials in number theory and arithmetic geometry, such as elliptic curves, modular forms, Galois representations, deformation rings, modular curves over the integer rings, Galois cohomology, etc. The first four topics are crucial for the proof of Fermat's Last Theorem; they are also very important as tools in studying various other problems in modern algebraic number theory. The remaining topics will be treated in the second book to be published in the same series in 2014. In order to facilitate understanding the intricate proof, an outline of the whole argument is described in the first preliminary chapter, and more details are summarized in later chapters.
Content:
Cover -- Title page -- Contents -- Preface -- Preface to the English edition -- Synopsis -- Elliptic curves -- Modular forms -- Galois representations -- The 3-5 trick -- = -- Commutative algebra -- Deformation rings -- Appendix A -- Bibliography -- Symbol index -- Subject index -- Back Cover.
Note:
Description based on publisher supplied metadata and other sources
Additional Edition:
9780821898482
Additional Edition:
Erscheint auch als Druck-Ausgabe 9780821898482
Language:
English
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