盘天下 | 免费精选资源分享

内容简介

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 specia list s in number theory but to anyone interested in seeing the application of the ideas of algebraic number theory to a famous mathematical problem.

下载地址

• 诚通网盘 提取码：8866
• 迅雷网盘 提取码：3ka9

本站夸克网盘精选资源合集：https://pan.quark.cn/s/936c760dd840

• 
• 
• 
• 

转载请注明出处，本文链接：https://www.80srz.com/pantx/74918.html