03997nam 22006615 450 991030025700332120200706080524.03-319-22321-610.1007/978-3-319-22321-6(CKB)3710000000521693(SSID)ssj0001584854(PQKBManifestationID)16265751(PQKBTitleCode)TC0001584854(PQKBWorkID)14865276(PQKB)11404882(DE-He213)978-3-319-22321-6(MiAaPQ)EBC6311772(MiAaPQ)EBC5587643(Au-PeEL)EBL5587643(OCoLC)920524960(PPN)190519967(EXLCZ)99371000000052169320150901d2015 u| 0engurnn#008mamaatxtccrApplied Number Theory /by Harald Niederreiter, Arne Winterhof1st ed. 2015.Cham :Springer International Publishing :Imprint: Springer,2015.1 online resource (X, 442 p. 20 illus., 7 illus. in color.)Bibliographic Level Mode of Issuance: Monograph3-319-22320-8 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.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.Number theoryInformation theoryData structures (Computer science)Number Theoryhttps://scigraph.springernature.com/ontologies/product-market-codes/M25001Information and Communication, Circuitshttps://scigraph.springernature.com/ontologies/product-market-codes/M13038Data Structures and Information Theoryhttps://scigraph.springernature.com/ontologies/product-market-codes/I15009Number theory.Information theory.Data structures (Computer science)Number Theory.Information and Communication, Circuits.Data Structures and Information Theory.512.7Niederreiter Haraldauthttp://id.loc.gov/vocabulary/relators/aut41135Winterhof Arneauthttp://id.loc.gov/vocabulary/relators/autMiAaPQMiAaPQMiAaPQBOOK9910300257003321Applied Number Theory2500303UNINA