A Primer of Analytic Number Theory 在线电子书 pdf 下载 txt下载 epub 下载 mobi 下载 2024

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Stopple, Jeffrey 作者

Cambridge Univ Pr

译者

2003-6 出版日期

398 页数

$ 168.37 价格

HRD

丛书系列

9780521813099 图书编码

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A Primer of Analytic Number Theory 在线电子书 epub 下载 mobi 下载 pdf 下载 txt 下载 2024

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This 2003 undergraduate introduction to analytic number theory develops analytic skills in the course of studying ancient questions on polygonal numbers, perfect numbers and amicable pairs. The question of how the primes are distributed amongst all the integers is central in analytic number theory. This distribution is determined by the Riemann zeta function, and Riemann's work shows how it is connected to the zeroes of his function, and the significance of the Riemann Hypothesis. Starting from a traditional calculus course and assuming no complex analysis, the author develops the basic ideas of elementary number theory. The text is supplemented by series of exercises to further develop the concepts, and includes brief sketches of more advanced ideas, to present contemporary research problems at a level suitable for undergraduates. In addition to proofs, both rigorous and heuristic, the book includes extensive graphics and tables to make analytic concepts as concrete as possible.

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