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Applied Number Theory

紀錄類型:	書目-語言資料,印刷品 : Monograph/item
正題名/作者:	Applied Number Theory/ by Harald Niederreiter, Arne Winterhof.
作者:	Niederreiter, Harald.
其他作者:	Winterhof, Arne.
面頁冊數:	X, 442 p. 20 illus., 7 illus. in color.online resource. :
Contained By:	Springer Nature eBook
標題:	Number theory. -
電子資源:	https://doi.org/10.1007/978-3-319-22321-6
ISBN:	9783319223216

Applied Number Theory
Niederreiter, Harald.

Applied Number Theory[electronic resource] /by Harald Niederreiter, Arne Winterhof. - 1st ed. 2015. - X, 442 p. 20 illus., 7 illus. in color.online resource.

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 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.

ISBN: 9783319223216

Standard No.: 10.1007/978-3-319-22321-6doiSubjects--Topical Terms:

527883
Number theory.

LC Class. No.: QA241-247.5

Dewey Class. No.: 512.7

Applied Number Theory
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