Download Applied Number Theory by Harald Niederreiter,Arne Winterhof PDF

By Harald Niederreiter,Arne Winterhof

This textbook successfully builds a bridge from uncomplicated quantity thought to fresh advances in utilized quantity thought. It offers the 1st unified account of the 4 significant components of software the place quantity concept performs a primary position, specifically cryptography, coding idea, quasi-Monte Carlo equipment, and pseudorandom quantity iteration, permitting the authors to delineate the manifold hyperlinks and interrelations among those areas.

Number concept, which Carl-Friedrich Gauss famously dubbed the queen of arithmetic, has consistently been thought of a really attractive box of arithmetic, generating attractive effects and chic proofs. whereas merely only a few real-life functions have been identified long ago, at the present time quantity thought are available in way of life: in grocery store bar code scanners, in our automobiles’ GPS platforms, in on-line banking, etc.

Starting with a short introductory direction on quantity concept in bankruptcy 1, which makes the e-book extra available for undergraduates, the authors describe the 4 major program components in Chapters 2-5 and supply a glimpse of complex effects which are awarded with out proofs and require extra complicated mathematical talents. within the final bankruptcy they evaluation numerous extra functions of quantity idea, 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 concept will locate this e-book to be a helpful resource.

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