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＜電子ブック＞
Applied Number Theory / by Harald Niederreiter, Arne Winterhof

版	1st ed. 2015.
出版者	(Cham : Springer International Publishing : Imprint: Springer)
出版年	2015
本文言語	英語
大きさ	X, 442 p. 20 illus., 7 illus. in color : online resource
著者標目	*Niederreiter, Harald author Winterhof, Arne author SpringerLink (Online service)
件　名	LCSH:Number theory LCSH:Computer science -- Mathematics  全ての件名で検索 LCSH:Data structures (Computer science) LCSH:Information theory FREE:Number Theory FREE:Mathematical Applications in Computer Science FREE:Data Structures and Information Theory
一般注記	Preface -- 1 A Review of Number Theory and Algebra -- 2 Cryptography -- 3 Coding Theory -- 4 Quasi-Monte Carlo Methods -- 5 Pseudorandom Numbers -- 6 Further Applications -- Bibliography -- Index 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 fourmain 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 HTTP:URL=https://doi.org/10.1007/978-3-319-22321-6

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