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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 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.
Harald Niederreiter: Full member, Austrian Academy of Sciences; Full member and former member of the presidium, German Academy of Natural Sciences Leopoldina; Cardinal Innitzer Prize for Natural Sciences in Austria; Invited speaker at ICM 1998 (Berlin) and ICIAM 2003 (Sydney): Singapore National Science Award 2003; Fellow of the American Mathematical Society
Arne Winterhof: Edmund and Rosa Hlawka Prize 2004; Advancement Award of the Austrian Mathematical Society 2010
First book that covers all four areas: cryptography, coding theory, quasi-Monte Carlo methods, pseudo-random numbers
Contains material for courses on number theory, cryptography, coding theory and quasi-Monte Carlo methods
Builds a bridge from basic number theory to recent research in applied number theory
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.
| Erscheinungsjahr: | 2016 |
|---|---|
| Fachbereich: | Arithmetik & Algebra |
| Genre: | Mathematik, Medizin, Naturwissenschaften, Technik |
| Rubrik: | Naturwissenschaften & Technik |
| Medium: | Taschenbuch |
| Inhalt: |
x
442 S. 13 s/w Illustr. 7 farbige Illustr. 442 p. 20 illus. 7 illus. in color. |
| ISBN-13: | 9783319368122 |
| ISBN-10: | 3319368125 |
| Sprache: | Englisch |
| Einband: | Kartoniert / Broschiert |
| Autor: |
Winterhof, Arne
Niederreiter, Harald |
| Auflage: | Softcover reprint of the original 1st edition 2015 |
| Hersteller: |
Springer Nature Switzerland
Springer International Publishing |
| Verantwortliche Person für die EU: | Springer Verlag GmbH, Tiergartenstr. 17, D-69121 Heidelberg, juergen.hartmann@springer.com |
| Maße: | 235 x 155 x 25 mm |
| Von/Mit: | Arne Winterhof (u. a.) |
| Erscheinungsdatum: | 22.10.2016 |
| Gewicht: | 0,68 kg |
Harald Niederreiter: Full member, Austrian Academy of Sciences; Full member and former member of the presidium, German Academy of Natural Sciences Leopoldina; Cardinal Innitzer Prize for Natural Sciences in Austria; Invited speaker at ICM 1998 (Berlin) and ICIAM 2003 (Sydney): Singapore National Science Award 2003; Fellow of the American Mathematical Society
Arne Winterhof: Edmund and Rosa Hlawka Prize 2004; Advancement Award of the Austrian Mathematical Society 2010
First book that covers all four areas: cryptography, coding theory, quasi-Monte Carlo methods, pseudo-random numbers
Contains material for courses on number theory, cryptography, coding theory and quasi-Monte Carlo methods
Builds a bridge from basic number theory to recent research in applied number theory
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.
| Erscheinungsjahr: | 2016 |
|---|---|
| Fachbereich: | Arithmetik & Algebra |
| Genre: | Mathematik, Medizin, Naturwissenschaften, Technik |
| Rubrik: | Naturwissenschaften & Technik |
| Medium: | Taschenbuch |
| Inhalt: |
x
442 S. 13 s/w Illustr. 7 farbige Illustr. 442 p. 20 illus. 7 illus. in color. |
| ISBN-13: | 9783319368122 |
| ISBN-10: | 3319368125 |
| Sprache: | Englisch |
| Einband: | Kartoniert / Broschiert |
| Autor: |
Winterhof, Arne
Niederreiter, Harald |
| Auflage: | Softcover reprint of the original 1st edition 2015 |
| Hersteller: |
Springer Nature Switzerland
Springer International Publishing |
| Verantwortliche Person für die EU: | Springer Verlag GmbH, Tiergartenstr. 17, D-69121 Heidelberg, juergen.hartmann@springer.com |
| Maße: | 235 x 155 x 25 mm |
| Von/Mit: | Arne Winterhof (u. a.) |
| Erscheinungsdatum: | 22.10.2016 |
| Gewicht: | 0,68 kg |
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