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 offers the 1st unified account of the 4 significant parts of program the place quantity concept performs a basic position, specifically 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 concept, which Carl-Friedrich Gauss famously dubbed the queen of arithmetic, has regularly been thought of a truly attractive box of arithmetic, generating wonderful effects and chic proofs. whereas in basic terms only a few real-life purposes 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 vehicles’ GPS structures, in on-line banking, etc.
Starting with a quick introductory path on quantity thought in bankruptcy 1, which makes the e-book extra obtainable for undergraduates, the authors describe the 4 major program parts in Chapters 2-5 and supply a glimpse of complicated effects which are provided with out proofs and require extra complex mathematical talents. within the final bankruptcy they evaluation a number of additional purposes of quantity thought, 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 idea will locate this publication to be a important resource.
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Applied Number Theory by Harald Niederreiter,Arne Winterhof
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Categories: Number Theory