Applied Number Theory by Harald Niederreiter,Arne Winterhof

By Harald Niederreiter,Arne Winterhof

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

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

Starting with a quick introductory direction on quantity thought in bankruptcy 1, which makes the publication extra obtainable for undergraduates, the authors describe the 4 major software parts in Chapters 2-5 and provide a glimpse of complicated effects which are awarded with no proofs and require extra complicated mathematical talents. within the final bankruptcy they evaluation numerous additional purposes of quantity conception, starting from check-digit structures to quantum computation and the association of raster-graphics memory.

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

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Applied Number Theory

This textbook successfully builds a bridge from easy quantity thought to contemporary advances in utilized quantity conception. It offers the 1st unified account of the 4 significant parts of software the place quantity conception performs a basic function, particularly cryptography, coding conception, quasi-Monte Carlo equipment, and pseudorandom quantity new release, permitting the authors to delineate the manifold hyperlinks and interrelations among those components.

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