Number Theory in Science and Communication: With Applications in Cryptography, Physics, Biology, Digital Information, and Computing
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Elektronisch E-Book |
| Sprache: | English |
| Veröffentlicht: |
Berlin, Heidelberg
Springer Berlin Heidelberg
1984
|
| Schriftenreihe: | Springer Series in Information Sciences
7 |
| Schlagworte: | |
| Online-Zugang: | Volltext |
| Beschreibung: | "Beauty is the first test: there is no permanent place in the world for ugly mathematics. " - G. H. Hardy N umber theory has been considered since time immemorial to be the very paradigm of pure (some would say useless) mathematics. In fact, the Chinese characters for mathematics are Number Science. "Mathematics is the queen of sciences - and number theory is the queen of mathematics," according to Carl Friedrich Gauss, the lifelong Wunderkind, who hirnself enjoyed the epithet "Princeps Mathematicorum. " What could be more beautiful than a deep, satisfying relation between whole numbers. {One is almost tempted to call them wholesome numbersJ In fact, it is hard to come up with a more appropriate designation than their learned name: the integers - meaning the "untouched ones". How high they rank, in the realms of pure thought and aesthetics, above their lesser brethren: the real and complex number- whose first names virtually exude unsavory involvement with the complex realities of everyday life! Yet, as we shall see in this book, the theory of integers can provide totally unexpected answers to real-world problems. In fact, discrete mathematics is ta king on an ever more important role. If nothing else, the advent of the digital computer and digital communication has seen to that. But even earlier, in physics the emergence of quantum mechanics and discrete elementary particles put a premium on the methods and, indeed, the spirit of discrete mathematics |
| Beschreibung: | 1 Online-Ressource (XVI, 326 p) |
| ISBN: | 9783662023952 9783662023976 |
| ISSN: | 0720-678X |
| DOI: | 10.1007/978-3-662-02395-2 |
Internformat
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Datensatz im Suchindex
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| author_facet | Schroeder, Manfred R. |
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| dewey-full | 512.7 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 512 - Algebra |
| dewey-raw | 512.7 |
| dewey-search | 512.7 |
| dewey-sort | 3512.7 |
| dewey-tens | 510 - Mathematics |
| discipline | Physik Mathematik |
| doi_str_mv | 10.1007/978-3-662-02395-2 |
| format | Electronic eBook |
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| id | DE-604.BV042414151 |
| illustrated | Not Illustrated |
| indexdate | 2024-07-10T01:20:54Z |
| institution | BVB |
| isbn | 9783662023952 9783662023976 |
| issn | 0720-678X |
| language | English |
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| physical | 1 Online-Ressource (XVI, 326 p) |
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| publisher | Springer Berlin Heidelberg |
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| series2 | Springer Series in Information Sciences |
| spelling | Schroeder, Manfred R. Verfasser aut Number Theory in Science and Communication With Applications in Cryptography, Physics, Biology, Digital Information, and Computing by Manfred R. Schroeder Berlin, Heidelberg Springer Berlin Heidelberg 1984 1 Online-Ressource (XVI, 326 p) txt rdacontent c rdamedia cr rdacarrier Springer Series in Information Sciences 7 0720-678X "Beauty is the first test: there is no permanent place in the world for ugly mathematics. " - G. H. Hardy N umber theory has been considered since time immemorial to be the very paradigm of pure (some would say useless) mathematics. In fact, the Chinese characters for mathematics are Number Science. "Mathematics is the queen of sciences - and number theory is the queen of mathematics," according to Carl Friedrich Gauss, the lifelong Wunderkind, who hirnself enjoyed the epithet "Princeps Mathematicorum. " What could be more beautiful than a deep, satisfying relation between whole numbers. {One is almost tempted to call them wholesome numbersJ In fact, it is hard to come up with a more appropriate designation than their learned name: the integers - meaning the "untouched ones". How high they rank, in the realms of pure thought and aesthetics, above their lesser brethren: the real and complex number- whose first names virtually exude unsavory involvement with the complex realities of everyday life! Yet, as we shall see in this book, the theory of integers can provide totally unexpected answers to real-world problems. In fact, discrete mathematics is ta king on an ever more important role. If nothing else, the advent of the digital computer and digital communication has seen to that. But even earlier, in physics the emergence of quantum mechanics and discrete elementary particles put a premium on the methods and, indeed, the spirit of discrete mathematics Mathematics Coding theory Number theory Number Theory Coding and Information Theory Mathematik Zahlentheorie (DE-588)4067277-3 gnd rswk-swf Anwendung (DE-588)4196864-5 gnd rswk-swf Zahlentheorie (DE-588)4067277-3 s Anwendung (DE-588)4196864-5 s 1\p DE-604 https://doi.org/10.1007/978-3-662-02395-2 Verlag Volltext 1\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk |
| spellingShingle | Schroeder, Manfred R. Number Theory in Science and Communication With Applications in Cryptography, Physics, Biology, Digital Information, and Computing Mathematics Coding theory Number theory Number Theory Coding and Information Theory Mathematik Zahlentheorie (DE-588)4067277-3 gnd Anwendung (DE-588)4196864-5 gnd |
| subject_GND | (DE-588)4067277-3 (DE-588)4196864-5 |
| title | Number Theory in Science and Communication With Applications in Cryptography, Physics, Biology, Digital Information, and Computing |
| title_auth | Number Theory in Science and Communication With Applications in Cryptography, Physics, Biology, Digital Information, and Computing |
| title_exact_search | Number Theory in Science and Communication With Applications in Cryptography, Physics, Biology, Digital Information, and Computing |
| title_full | Number Theory in Science and Communication With Applications in Cryptography, Physics, Biology, Digital Information, and Computing by Manfred R. Schroeder |
| title_fullStr | Number Theory in Science and Communication With Applications in Cryptography, Physics, Biology, Digital Information, and Computing by Manfred R. Schroeder |
| title_full_unstemmed | Number Theory in Science and Communication With Applications in Cryptography, Physics, Biology, Digital Information, and Computing by Manfred R. Schroeder |
| title_short | Number Theory in Science and Communication |
| title_sort | number theory in science and communication with applications in cryptography physics biology digital information and computing |
| title_sub | With Applications in Cryptography, Physics, Biology, Digital Information, and Computing |
| topic | Mathematics Coding theory Number theory Number Theory Coding and Information Theory Mathematik Zahlentheorie (DE-588)4067277-3 gnd Anwendung (DE-588)4196864-5 gnd |
| topic_facet | Mathematics Coding theory Number theory Number Theory Coding and Information Theory Mathematik Zahlentheorie Anwendung |
| url | https://doi.org/10.1007/978-3-662-02395-2 |
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