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Opis

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.§

Szczegóły książki

Kategoria Książki po angielsku Mathematics & science Mathematics Number theory

• Pełny tytuł: Applied Number Theory
• Autor: Harald Niederreiter, Arne Winterhof
• Język: Angielski
• Oprawa: Twarda
• Liczba stron: 442
• EAN: 9783319223209
• ISBN: 3319223208
• ID: 09384029
• Wydawca: Springer International Publishing AG
• Waga: 826 g
• Wymiary: 169 × 244 × 29 mm
• Data wydania: 03. September 2015

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