By Harald Niederreiter,Arne Winterhof

This textbook successfully builds a bridge from easy quantity thought to fresh advances in utilized quantity idea. It provides the 1st unified account of the 4 significant parts of program the place quantity concept performs a basic position, specifically cryptography, coding idea, quasi-Monte Carlo equipment, and pseudorandom quantity new release, permitting the authors to delineate the manifold hyperlinks and interrelations among those areas.

Number conception, which Carl-Friedrich Gauss famously dubbed the queen of arithmetic, has regularly been thought of a really appealing box of arithmetic, generating wonderful effects and stylish proofs. whereas purely only a few real-life purposes have been identified long ago, this present day quantity idea are available in lifestyle: in grocery store bar code scanners, in our vehicles’ GPS platforms, in on-line banking, etc.

Starting with a quick introductory path on quantity concept in bankruptcy 1, which makes the ebook extra available for undergraduates, the authors describe the 4 major program parts in Chapters 2-5 and supply a glimpse of complex effects which are awarded with no proofs and require extra complicated mathematical talents. within the final bankruptcy they evaluate a number of additional purposes of quantity idea, starting from check-digit platforms to quantum computation and the association of raster-graphics memory.

Upper-level undergraduates, graduates and researchers within the box of quantity idea will locate this publication to be a precious resource.

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Applied Number Theory by Harald Niederreiter,Arne Winterhof

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