| 书目名称 | Fermat’s Last Theorem for Amateurs | | 编辑 | Paulo Ribenboim | | 视频video | http://file.papertrans.cn/343/342012/342012.mp4 | | 概述 | Ribenboim‘s presentation of attempts to solve Fermat‘s Last Theorem sheds new light on the possibilities and power of the language of mathematics.This book is intended for amateurs. All results presen | | 图书封面 |  | | 描述 | ItisnowwellknownthatFermat’slasttheoremhasbeenproved. For more than three and a half centuries, mathematicians — from the greatnamestothecleveramateurs—triedtoproveFermat’sfamous statement. The approach was new and involved very sophisticated theories. Finallythelong-soughtproofwasachieved. Thearithmetic theory of elliptic curves, modular forms, Galois representations, and their deformations, developed by many mathematicians, were the tools required to complete the di?cult proof. Linked with this great mathematical feat are the names of TANI- YAMA, SHIMURA, FREY, SERRE, RIBET, WILES, TAYLOR. Their contributions, as well as hints of the proof, are discussed in the Epilogue. This book has not been written with the purpose of presentingtheproofofFermat’stheorem. Onthecontrary, itiswr- ten for amateurs, teachers, and mathematicians curious about the unfolding of the subject. I employ exclusively elementary methods (except in the Epilogue). They have only led to partial solutions but their interest goes beyond Fermat’s problem. One cannot stop admiring the results obtained with these limited techniques. Nevertheless, I warn that as far as I can see — which in fact is not much — the meth | | 出版日期 | Textbook 1999 | | 关键词 | Fermat; Fermat‘s Last Theorem; algebra; arithmetic; elliptic curve; modular form; number theory | | 版次 | 1 | | doi | https://doi.org/10.1007/b97437 | | isbn_softcover | 978-1-4757-7286-9 | | isbn_ebook | 978-0-387-21692-8 | | copyright | Springer Science+Business Media New York 1999 |
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