By Harald Niederreiter,Arne Winterhof

ISBN-10: 3319223208

ISBN-13: 9783319223209

This textbook successfully builds a bridge from uncomplicated quantity conception to contemporary advances in utilized quantity thought. It provides the 1st unified account of the 4 significant components of program the place quantity conception performs a primary position, specifically cryptography, coding thought, 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 continually been thought of a really appealing box of arithmetic, generating attractive effects and chic proofs. whereas basically only a few real-life functions have been recognized some time past, at the present time quantity thought are available in way of life: in grocery store bar code scanners, in our autos’ GPS platforms, in on-line banking, etc.

Starting with a quick introductory direction on quantity concept in bankruptcy 1, which makes the ebook extra available for undergraduates, the authors describe the 4 major software components in Chapters 2-5 and provide a glimpse of complex effects which are awarded with no proofs and require extra complicated mathematical abilities. within the final bankruptcy they assessment a number of additional functions of quantity concept, 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 thought will locate this ebook to be a important resource.

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Applied Number Theory by Harald Niederreiter,Arne Winterhof

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