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Applied Number Theory
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, an...
| Clasificación: | Libro Electrónico |
|---|---|
| Autores principales: | , |
| Autor Corporativo: | |
| Formato: | Electrónico eBook |
| Idioma: | Inglés |
| Publicado: |
Cham :
Springer International Publishing : Imprint: Springer,
2015.
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| Edición: | 1st ed. 2015. |
| Temas: | |
| Acceso en línea: | Texto Completo |
MARC
| LEADER | 00000nam a22000005i 4500 | ||
|---|---|---|---|
| 001 | 978-3-319-22321-6 | ||
| 003 | DE-He213 | ||
| 005 | 20220120001357.0 | ||
| 007 | cr nn 008mamaa | ||
| 008 | 150901s2015 sz | s |||| 0|eng d | ||
| 020 | |a 9783319223216 |9 978-3-319-22321-6 | ||
| 024 | 7 | |a 10.1007/978-3-319-22321-6 |2 doi | |
| 050 | 4 | |a QA241-247.5 | |
| 072 | 7 | |a PBH |2 bicssc | |
| 072 | 7 | |a MAT022000 |2 bisacsh | |
| 072 | 7 | |a PBH |2 thema | |
| 082 | 0 | 4 | |a 512.7 |2 23 |
| 100 | 1 | |a Niederreiter, Harald. |e author. |4 aut |4 http://id.loc.gov/vocabulary/relators/aut | |
| 245 | 1 | 0 | |a Applied Number Theory |h [electronic resource] / |c by Harald Niederreiter, Arne Winterhof. |
| 250 | |a 1st ed. 2015. | ||
| 264 | 1 | |a Cham : |b Springer International Publishing : |b Imprint: Springer, |c 2015. | |
| 300 | |a X, 442 p. 20 illus., 7 illus. in color. |b online resource. | ||
| 336 | |a text |b txt |2 rdacontent | ||
| 337 | |a computer |b c |2 rdamedia | ||
| 338 | |a online resource |b cr |2 rdacarrier | ||
| 347 | |a text file |b PDF |2 rda | ||
| 505 | 0 | |a 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. | |
| 520 | |a 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. | ||
| 650 | 0 | |a Number theory. | |
| 650 | 0 | |a Computer science-Mathematics. | |
| 650 | 0 | |a Data structures (Computer science). | |
| 650 | 0 | |a Information theory. | |
| 650 | 1 | 4 | |a Number Theory. |
| 650 | 2 | 4 | |a Mathematical Applications in Computer Science. |
| 650 | 2 | 4 | |a Data Structures and Information Theory. |
| 700 | 1 | |a Winterhof, Arne. |e author. |4 aut |4 http://id.loc.gov/vocabulary/relators/aut | |
| 710 | 2 | |a SpringerLink (Online service) | |
| 773 | 0 | |t Springer Nature eBook | |
| 776 | 0 | 8 | |i Printed edition: |z 9783319223223 |
| 776 | 0 | 8 | |i Printed edition: |z 9783319223209 |
| 776 | 0 | 8 | |i Printed edition: |z 9783319368122 |
| 856 | 4 | 0 | |u https://doi.uam.elogim.com/10.1007/978-3-319-22321-6 |z Texto Completo |
| 912 | |a ZDB-2-SMA | ||
| 912 | |a ZDB-2-SXMS | ||
| 950 | |a Mathematics and Statistics (SpringerNature-11649) | ||
| 950 | |a Mathematics and Statistics (R0) (SpringerNature-43713) | ||