Applied Number Theory / / by Harald Niederreiter, Arne Winterhof

• Autore: Niederreiter Harald
• Pubblicazione: Cham : , : Springer International Publishing : , : Imprint : Springer, , 2015
• Edizione: 1st ed. 2015.
• Descrizione fisica: 1 online resource (X, 442 p. 20 illus., 7 illus. in color.)
• Disciplina: 512.7
• Soggetto topico: Number theory; Information theory; Data structures (Computer science); Number Theory; Information and Communication, Circuits; Data Structures and Information Theory
• Persona (resp. second.): WinterhofArne
• Note generali: Bibliographic Level Mode of Issuance: Monograph
• Nota di contenuto: Preface -- 1 A Review of Number Theory and Algebra -- 2 Cryptography -- 3 Coding Theory -- 4 Quasi-Monte Carlo Methods -- 5 Pseudorandom Numbers -- 6 Further Applications -- Bibliography -- Index.
• Sommario/riassunto: 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.
• Titolo autorizzato: Applied Number Theory
• ISBN: 3-319-22321-6
• Formato: Materiale a stampa
• Livello bibliografico: Monografia
• Lingua di pubblicazione: Inglese
• Record Nr.: 9910300257003321
• Lo trovi qui: Univ. Federico II