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Schoof, Rene 作者

Springer

译者

2008-10 出版日期

136 页数

$ 56.44 价格

universitext 丛书系列

9781848001848 图书编码

Catalan's Conjecture 在线电子书图书标签: 数学 catalan 代数数论7 number math combinatorics Mathematics

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Catalan's Conjecture 在线电子书 epub 下载 mobi 下载 pdf 下载 txt 下载 2024

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Catalan's Conjecture 在线电子书图书描述

Eugene Charles Catalan made his famous conjecture - that 8 and 9 are the only two consecutive perfect powers of natural numbers - in 1844 in a letter to the editor of Crelle's mathematical journal. One hundred and fifty-eight years later, Preda Mihailescu proved it. Catalan's Conjecture presents this spectacular result in a way that is accessible to the advanced undergraduate. The author dissects both Mihailescu's proof and the earlier work it made use of, taking great care to select streamlined and transparent versions of the arguments and to keep the text self-contained. Only in the proof of Thaine's theorem is a little class field theory used; it is hoped that this application will motivate the interested reader to study the theory further. Beautifully clear and concise, this book will appeal not only to specialists in number theory but to anyone interested in seeing the application of the ideas of algebraic number theory to a famous mathematical problem.

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