Number Theory in Science and Communication: With Applications in Cryptography, Physics, Digital Information, Computing, and Self-Similarity
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Elektronisch E-Book |
| Sprache: | English |
| Veröffentlicht: |
Berlin, Heidelberg
Springer Berlin Heidelberg
1986
|
| Ausgabe: | Second Enlarged Edition |
| 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 Number 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 himself 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 numbers') 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 taking 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 (XIX, 374 p) |
| ISBN: | 9783662222461 9783540158004 |
| ISSN: | 0720-678X |
| DOI: | 10.1007/978-3-662-22246-1 |
Internformat
MARC
| LEADER | 00000nmm a2200000zcb4500 | ||
|---|---|---|---|
| 001 | BV042414643 | ||
| 003 | DE-604 | ||
| 005 | 00000000000000.0 | ||
| 007 | cr|uuu---uuuuu | ||
| 008 | 150316s1986 |||| o||u| ||||||eng d | ||
| 020 | |a 9783662222461 |c Online |9 978-3-662-22246-1 | ||
| 020 | |a 9783540158004 |c Print |9 978-3-540-15800-4 | ||
| 024 | 7 | |a 10.1007/978-3-662-22246-1 |2 doi | |
| 035 | |a (OCoLC)858003041 | ||
| 035 | |a (DE-599)BVBBV042414643 | ||
| 040 | |a DE-604 |b ger |e aacr | ||
| 041 | 0 | |a eng | |
| 049 | |a DE-91 |a DE-83 | ||
| 082 | 0 | |a 530.15 |2 23 | |
| 084 | |a PHY 000 |2 stub | ||
| 100 | 1 | |a Schroeder, Manfred R. |e Verfasser |4 aut | |
| 245 | 1 | 0 | |a Number Theory in Science and Communication |b With Applications in Cryptography, Physics, Digital Information, Computing, and Self-Similarity |c by Manfred R. Schroeder |
| 250 | |a Second Enlarged Edition | ||
| 264 | 1 | |a Berlin, Heidelberg |b Springer Berlin Heidelberg |c 1986 | |
| 300 | |a 1 Online-Ressource (XIX, 374 p) | ||
| 336 | |b txt |2 rdacontent | ||
| 337 | |b c |2 rdamedia | ||
| 338 | |b cr |2 rdacarrier | ||
| 490 | 0 | |a Springer Series in Information Sciences |v 7 |x 0720-678X | |
| 500 | |a "Beauty is the first test: there is no permanent place in the world for ugly mathematics. " - G. H. Hardy Number 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 himself 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 numbers') 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 taking 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 | ||
| 650 | 4 | |a Physics | |
| 650 | 4 | |a Coding theory | |
| 650 | 4 | |a Number theory | |
| 650 | 4 | |a Distribution (Probability theory) | |
| 650 | 4 | |a Mathematical physics | |
| 650 | 4 | |a Mathematical Methods in Physics | |
| 650 | 4 | |a Numerical and Computational Physics | |
| 650 | 4 | |a Coding and Information Theory | |
| 650 | 4 | |a Probability Theory and Stochastic Processes | |
| 650 | 4 | |a Number Theory | |
| 650 | 4 | |a Mathematische Physik | |
| 650 | 0 | 7 | |a Zahlentheorie |0 (DE-588)4067277-3 |2 gnd |9 rswk-swf |
| 650 | 0 | 7 | |a Anwendung |0 (DE-588)4196864-5 |2 gnd |9 rswk-swf |
| 689 | 0 | 0 | |a Zahlentheorie |0 (DE-588)4067277-3 |D s |
| 689 | 0 | 1 | |a Anwendung |0 (DE-588)4196864-5 |D s |
| 689 | 0 | |8 1\p |5 DE-604 | |
| 856 | 4 | 0 | |u https://doi.org/10.1007/978-3-662-22246-1 |x Verlag |3 Volltext |
| 912 | |a ZDB-2-PHA |a ZDB-2-BAE | ||
| 940 | 1 | |q ZDB-2-PHA_Archive | |
| 999 | |a oai:aleph.bib-bvb.de:BVB01-027850136 | ||
| 883 | 1 | |8 1\p |a cgwrk |d 20201028 |q DE-101 |u https://d-nb.info/provenance/plan#cgwrk | |
Datensatz im Suchindex
| _version_ | 1804153080670846976 |
|---|---|
| any_adam_object | |
| author | Schroeder, Manfred R. |
| author_facet | Schroeder, Manfred R. |
| author_role | aut |
| author_sort | Schroeder, Manfred R. |
| author_variant | m r s mr mrs |
| building | Verbundindex |
| bvnumber | BV042414643 |
| classification_tum | PHY 000 |
| collection | ZDB-2-PHA ZDB-2-BAE |
| ctrlnum | (OCoLC)858003041 (DE-599)BVBBV042414643 |
| dewey-full | 530.15 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 530 - Physics |
| dewey-raw | 530.15 |
| dewey-search | 530.15 |
| dewey-sort | 3530.15 |
| dewey-tens | 530 - Physics |
| discipline | Physik |
| doi_str_mv | 10.1007/978-3-662-22246-1 |
| edition | Second Enlarged Edition |
| format | Electronic eBook |
| fullrecord | <?xml version="1.0" encoding="UTF-8"?><collection xmlns="http://www.loc.gov/MARC21/slim"><record><leader>03575nmm a2200577zcb4500</leader><controlfield tag="001">BV042414643</controlfield><controlfield tag="003">DE-604</controlfield><controlfield tag="005">00000000000000.0</controlfield><controlfield tag="007">cr|uuu---uuuuu</controlfield><controlfield tag="008">150316s1986 |||| o||u| ||||||eng d</controlfield><datafield tag="020" ind1=" " ind2=" "><subfield code="a">9783662222461</subfield><subfield code="c">Online</subfield><subfield code="9">978-3-662-22246-1</subfield></datafield><datafield tag="020" ind1=" " ind2=" "><subfield code="a">9783540158004</subfield><subfield code="c">Print</subfield><subfield code="9">978-3-540-15800-4</subfield></datafield><datafield tag="024" ind1="7" ind2=" "><subfield code="a">10.1007/978-3-662-22246-1</subfield><subfield code="2">doi</subfield></datafield><datafield tag="035" ind1=" " ind2=" "><subfield code="a">(OCoLC)858003041</subfield></datafield><datafield tag="035" ind1=" " ind2=" "><subfield code="a">(DE-599)BVBBV042414643</subfield></datafield><datafield tag="040" ind1=" " ind2=" "><subfield code="a">DE-604</subfield><subfield code="b">ger</subfield><subfield code="e">aacr</subfield></datafield><datafield tag="041" ind1="0" ind2=" "><subfield code="a">eng</subfield></datafield><datafield tag="049" ind1=" " ind2=" "><subfield code="a">DE-91</subfield><subfield code="a">DE-83</subfield></datafield><datafield tag="082" ind1="0" ind2=" "><subfield code="a">530.15</subfield><subfield code="2">23</subfield></datafield><datafield tag="084" ind1=" " ind2=" "><subfield code="a">PHY 000</subfield><subfield code="2">stub</subfield></datafield><datafield tag="100" ind1="1" ind2=" "><subfield code="a">Schroeder, Manfred R.</subfield><subfield code="e">Verfasser</subfield><subfield code="4">aut</subfield></datafield><datafield tag="245" ind1="1" ind2="0"><subfield code="a">Number Theory in Science and Communication</subfield><subfield code="b">With Applications in Cryptography, Physics, Digital Information, Computing, and Self-Similarity</subfield><subfield code="c">by Manfred R. Schroeder</subfield></datafield><datafield tag="250" ind1=" " ind2=" "><subfield code="a">Second Enlarged Edition</subfield></datafield><datafield tag="264" ind1=" " ind2="1"><subfield code="a">Berlin, Heidelberg</subfield><subfield code="b">Springer Berlin Heidelberg</subfield><subfield code="c">1986</subfield></datafield><datafield tag="300" ind1=" " ind2=" "><subfield code="a">1 Online-Ressource (XIX, 374 p)</subfield></datafield><datafield tag="336" ind1=" " ind2=" "><subfield code="b">txt</subfield><subfield code="2">rdacontent</subfield></datafield><datafield tag="337" ind1=" " ind2=" "><subfield code="b">c</subfield><subfield code="2">rdamedia</subfield></datafield><datafield tag="338" ind1=" " ind2=" "><subfield code="b">cr</subfield><subfield code="2">rdacarrier</subfield></datafield><datafield tag="490" ind1="0" ind2=" "><subfield code="a">Springer Series in Information Sciences</subfield><subfield code="v">7</subfield><subfield code="x">0720-678X</subfield></datafield><datafield tag="500" ind1=" " ind2=" "><subfield code="a">"Beauty is the first test: there is no permanent place in the world for ugly mathematics. " - G. H. Hardy Number 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 himself 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 numbers') 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 taking 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</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Physics</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Coding theory</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Number theory</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Distribution (Probability theory)</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Mathematical physics</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Mathematical Methods in Physics</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Numerical and Computational Physics</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Coding and Information Theory</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Probability Theory and Stochastic Processes</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Number Theory</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Mathematische Physik</subfield></datafield><datafield tag="650" ind1="0" ind2="7"><subfield code="a">Zahlentheorie</subfield><subfield code="0">(DE-588)4067277-3</subfield><subfield code="2">gnd</subfield><subfield code="9">rswk-swf</subfield></datafield><datafield tag="650" ind1="0" ind2="7"><subfield code="a">Anwendung</subfield><subfield code="0">(DE-588)4196864-5</subfield><subfield code="2">gnd</subfield><subfield code="9">rswk-swf</subfield></datafield><datafield tag="689" ind1="0" ind2="0"><subfield code="a">Zahlentheorie</subfield><subfield code="0">(DE-588)4067277-3</subfield><subfield code="D">s</subfield></datafield><datafield tag="689" ind1="0" ind2="1"><subfield code="a">Anwendung</subfield><subfield code="0">(DE-588)4196864-5</subfield><subfield code="D">s</subfield></datafield><datafield tag="689" ind1="0" ind2=" "><subfield code="8">1\p</subfield><subfield code="5">DE-604</subfield></datafield><datafield tag="856" ind1="4" ind2="0"><subfield code="u">https://doi.org/10.1007/978-3-662-22246-1</subfield><subfield code="x">Verlag</subfield><subfield code="3">Volltext</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">ZDB-2-PHA</subfield><subfield code="a">ZDB-2-BAE</subfield></datafield><datafield tag="940" ind1="1" ind2=" "><subfield code="q">ZDB-2-PHA_Archive</subfield></datafield><datafield tag="999" ind1=" " ind2=" "><subfield code="a">oai:aleph.bib-bvb.de:BVB01-027850136</subfield></datafield><datafield tag="883" ind1="1" ind2=" "><subfield code="8">1\p</subfield><subfield code="a">cgwrk</subfield><subfield code="d">20201028</subfield><subfield code="q">DE-101</subfield><subfield code="u">https://d-nb.info/provenance/plan#cgwrk</subfield></datafield></record></collection> |
| id | DE-604.BV042414643 |
| illustrated | Not Illustrated |
| indexdate | 2024-07-10T01:20:55Z |
| institution | BVB |
| isbn | 9783662222461 9783540158004 |
| issn | 0720-678X |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-027850136 |
| oclc_num | 858003041 |
| open_access_boolean | |
| owner | DE-91 DE-BY-TUM DE-83 |
| owner_facet | DE-91 DE-BY-TUM DE-83 |
| physical | 1 Online-Ressource (XIX, 374 p) |
| psigel | ZDB-2-PHA ZDB-2-BAE ZDB-2-PHA_Archive |
| publishDate | 1986 |
| publishDateSearch | 1986 |
| publishDateSort | 1986 |
| publisher | Springer Berlin Heidelberg |
| record_format | marc |
| series2 | Springer Series in Information Sciences |
| spelling | Schroeder, Manfred R. Verfasser aut Number Theory in Science and Communication With Applications in Cryptography, Physics, Digital Information, Computing, and Self-Similarity by Manfred R. Schroeder Second Enlarged Edition Berlin, Heidelberg Springer Berlin Heidelberg 1986 1 Online-Ressource (XIX, 374 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 Number 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 himself 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 numbers') 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 taking 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 Physics Coding theory Number theory Distribution (Probability theory) Mathematical physics Mathematical Methods in Physics Numerical and Computational Physics Coding and Information Theory Probability Theory and Stochastic Processes Number Theory Mathematische Physik 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/10.1007/978-3-662-22246-1 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, Digital Information, Computing, and Self-Similarity Physics Coding theory Number theory Distribution (Probability theory) Mathematical physics Mathematical Methods in Physics Numerical and Computational Physics Coding and Information Theory Probability Theory and Stochastic Processes Number Theory Mathematische Physik 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, Digital Information, Computing, and Self-Similarity |
| title_auth | Number Theory in Science and Communication With Applications in Cryptography, Physics, Digital Information, Computing, and Self-Similarity |
| title_exact_search | Number Theory in Science and Communication With Applications in Cryptography, Physics, Digital Information, Computing, and Self-Similarity |
| title_full | Number Theory in Science and Communication With Applications in Cryptography, Physics, Digital Information, Computing, and Self-Similarity by Manfred R. Schroeder |
| title_fullStr | Number Theory in Science and Communication With Applications in Cryptography, Physics, Digital Information, Computing, and Self-Similarity by Manfred R. Schroeder |
| title_full_unstemmed | Number Theory in Science and Communication With Applications in Cryptography, Physics, Digital Information, Computing, and Self-Similarity 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 digital information computing and self similarity |
| title_sub | With Applications in Cryptography, Physics, Digital Information, Computing, and Self-Similarity |
| topic | Physics Coding theory Number theory Distribution (Probability theory) Mathematical physics Mathematical Methods in Physics Numerical and Computational Physics Coding and Information Theory Probability Theory and Stochastic Processes Number Theory Mathematische Physik Zahlentheorie (DE-588)4067277-3 gnd Anwendung (DE-588)4196864-5 gnd |
| topic_facet | Physics Coding theory Number theory Distribution (Probability theory) Mathematical physics Mathematical Methods in Physics Numerical and Computational Physics Coding and Information Theory Probability Theory and Stochastic Processes Number Theory Mathematische Physik Zahlentheorie Anwendung |
| url | https://doi.org/10.1007/978-3-662-22246-1 |
| work_keys_str_mv | AT schroedermanfredr numbertheoryinscienceandcommunicationwithapplicationsincryptographyphysicsdigitalinformationcomputingandselfsimilarity |