By Harald Niederreiter,Arne Winterhof

This textbook successfully builds a bridge from simple quantity conception to contemporary advances in utilized quantity thought. It offers the 1st unified account of the 4 significant parts of software the place quantity thought performs a basic function, particularly cryptography, coding conception, quasi-Monte Carlo equipment, and pseudorandom quantity iteration, 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 continually been thought of a truly appealing box of arithmetic, generating wonderful effects and chic proofs. whereas purely only a few real-life functions have been identified long ago, this present day quantity concept are available in lifestyle: in grocery store bar code scanners, in our vehicles’ GPS platforms, in on-line banking, etc.

Starting with a short introductory direction on quantity conception in bankruptcy 1, which makes the publication extra obtainable for undergraduates, the authors describe the 4 major software components in Chapters 2-5 and supply a glimpse of complicated effects which are awarded with no proofs and require extra complicated mathematical talents. within the final bankruptcy they assessment numerous additional purposes of quantity thought, 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 ebook to be a worthwhile resource.

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Applied Number Theory by Harald Niederreiter,Arne Winterhof

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