Applied Number Theory / by Harald Niederreiter, Arne Winterhof.

• 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. 

Ämnesord

Mathematics.  (LCSH)

Data structures (Computer science).  (LCSH)

Information theory.  (LCSH)

Number theory.  (LCSH)

Mathematics. 

Number Theory. 

Information and Communication, Circuits. 

Data Structures, Cryptology and Information Theory. 

Klassifikation

QA241-247.5 (LCC)

MAT022000 (ämneskategori)

512.7 (DDC)

Tck (kssb/8 (machine generated))