By Harald Niederreiter,Arne Winterhof

This textbook successfully builds a bridge from simple quantity conception to contemporary advances in utilized quantity conception. It offers the 1st unified account of the 4 significant parts of program the place quantity concept performs a primary position, particularly cryptography, coding idea, quasi-Monte Carlo tools, and pseudorandom quantity iteration, 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 attractive box of arithmetic, generating gorgeous effects and stylish proofs. whereas in simple terms only a few real-life purposes have been identified some time past, at the present time quantity concept are available in daily life: in grocery store bar code scanners, in our autos’ GPS structures, in on-line banking, etc.

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

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