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Details for:
Niederreiter H., Winterhof A. Applied Number Theory 2015
niederreiter h winterhof applied number theory 2015
Type:
E-books
Files:
1
Size:
4.7 MB
Uploaded On:
Feb. 19, 2023, 3:15 p.m.
Added By:
andryold1
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0
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0
Info Hash:
072B4EE01D7D7DAF6951050DDF48D3C7DCEE410E
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Textbook in PDF format This textbook effectively builds a bridge from basic number theory to recent advances in applied number theory. It presents the first unified account of the four major areas of application where number theory plays a fundamental role, namely cryptography, coding theory, quasi-Monte Carlo methods, and pseudorandom number generation, allowing the authors to delineate the manifold links and interrelations between these areas. Number theory, which Carl-Friedrich Gauss famously dubbed the queen of mathematics, has always been considered a very beautiful field of mathematics, producing lovely results and elegant proofs. While only very few real-life applications were known in the past, today number theory can be found in everyday life: in supermarket bar code scanners, in our cars’ GPS systems, in online banking, etc. Starting with a brief introductory course on number theory in Chapter 1, which makes the book more accessible for undergraduates, the authors describe the four main application areas in Chapters 2-5 and offer a glimpse of advanced results that are presented without proofs and require more advanced mathematical skills. In the last chapter they review several further applications of number theory, ranging from check-digit systems to quantum computation and the organization of raster-graphics memory. Upper-level undergraduates, graduates and researchers in the field of number theory will find this book to be a valuable resource
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Niederreiter H., Winterhof A. Applied Number Theory 2015.pdf
4.7 MB
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