Applied Number Theory - download pdf or read online

By Harald Niederreiter,Arne Winterhof

ISBN-10: 3319223208

ISBN-13: 9783319223209

This textbook successfully builds a bridge from simple quantity concept to contemporary advances in utilized quantity thought. It provides the 1st unified account of the 4 significant parts of program the place quantity idea 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 idea, which Carl-Friedrich Gauss famously dubbed the queen of arithmetic, has regularly been thought of a truly attractive box of arithmetic, generating attractive effects and stylish proofs. whereas merely only a few real-life purposes have been recognized some time past, this present day quantity idea are available in way of life: in grocery store bar code scanners, in our vehicles’ GPS structures, in on-line banking, etc.

Starting with a quick introductory path on quantity conception in bankruptcy 1, which makes the publication extra available for undergraduates, the authors describe the 4 major software components in Chapters 2-5 and provide a glimpse of complicated effects which are awarded with out proofs and require extra complex mathematical abilities. within the final bankruptcy they overview 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 concept will locate this e-book to be a invaluable resource.

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Applied Number Theory by Harald Niederreiter,Arne Winterhof


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