Applied number theory[electronic res...
Niederreiter, Harald.

 

  • Applied number theory[electronic resource] /
  • 紀錄類型: 書目-語言資料,印刷品 : Monograph/item
    杜威分類號: 512.7
    書名/作者: Applied number theory/ by Harald Niederreiter, Arne Winterhof.
    作者: Niederreiter, Harald.
    其他作者: Winterhof, Arne.
    出版者: Cham : : Springer International Publishing :, 2015.
    面頁冊數: x, 442 p. : : ill. (some col.), digital ;; 24 cm.
    Contained By: Springer eBooks
    標題: Number theory.
    標題: Mathematics.
    標題: Number Theory.
    標題: Information and Communication, Circuits.
    標題: Data Structures, Cryptology and Information Theory.
    ISBN: 9783319223216
    ISBN: 9783319223209
    內容註: 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.
    摘要、提要註: 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.
    電子資源: http://dx.doi.org/10.1007/978-3-319-22321-6
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