【2015新书】 Applied Number Theory

Book 图书名称： Applied Number Theory
Author 作者： Harald Niederreiter, Arne Winterhof
Publisher 出版社： Springer
Page 页数： 442
Publishing Date 出版时间： Sep 3, 2015
Language 语言： English
Size 大小： 5 MB
Format 格式： pdf 文字版
ISBN: 3319223208, 9783319223209
Edition: 第 版 搜索过论坛，没有该文档


This textbook effectively builds a bridge from basic number theory to recent advances in applied number theory. It presents the first unified account of the four major areas of application where number theory plays a fundamental role, namely cryptography, coding theory, quasi-Monte Carlo methods, and pseudorandom number generation, allowing the authors to delineate the manifold links and interrelations between these areas.

Number theory, which Carl-Friedrich Gauss famously dubbed the queen of mathematics, has always been considered a very beautiful field of mathematics, producing lovely results and elegant proofs. While only very few real-life applications were known in the past, today number theory can be found in everyday life: in supermarket bar code scanners, in our cars’ GPS systems, in online banking, etc.

Starting with a brief introductory course on number theory in Chapter 1, which makes the book more accessible for undergraduates, the authors describe the four main application areas in Chapters 2-5 and offer a glimpse of advanced results that are presented without proofs and require more advanced mathematical skills. In the last chapter they review several further applications of number theory, ranging from check-digit systems to quantum computation and the organization of raster-graphics memory.

Upper-level undergraduates, graduates and researchers in the field of number theory will find this book to be a valuable resource.


== Table of contents ==
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