Applied Number Theory Hardback
by Harald Niederreiter, Arne Winterhof
Hardback
Description
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.
Information
-
Item not Available
- Format:Hardback
- Pages:442 pages, 7 Illustrations, color; 13 Illustrations, black and white; X, 442 p. 20 illus., 7 illus.
- Publisher:Springer International Publishing AG
- Publication Date:03/09/2015
- Category:
- ISBN:9783319223209
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Information
-
Item not Available
- Format:Hardback
- Pages:442 pages, 7 Illustrations, color; 13 Illustrations, black and white; X, 442 p. 20 illus., 7 illus.
- Publisher:Springer International Publishing AG
- Publication Date:03/09/2015
- Category:
- ISBN:9783319223209