Applied Number Theory by Harald Niederreiter,Arne Winterhof

By Harald Niederreiter,Arne Winterhof

This textbook successfully builds a bridge from uncomplicated quantity thought to contemporary advances in utilized quantity thought. It provides the 1st unified account of the 4 significant parts of software the place quantity thought performs a primary function, particularly cryptography, coding conception, 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 continually been thought of a really appealing box of arithmetic, generating attractive effects and chic proofs. whereas merely only a few real-life functions have been recognized some time past, at the present time quantity conception 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 path on quantity thought in bankruptcy 1, which makes the ebook extra available for undergraduates, the authors describe the 4 major software parts in Chapters 2-5 and supply a glimpse of complicated effects which are provided with no proofs and require extra complicated mathematical abilities. within the final bankruptcy they evaluation numerous additional functions 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 concept will locate this ebook to be a beneficial resource.

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