The dynamics, statistics and projective geometry of Galois fields /:
"V. I. Arnold reveals some unexpected connections between such apparently unrelated theories as Galois fields, dynamical systems, ergodic theory, statistics, chaos and the geometry of projective structures on finite sets. The author blends experimental results with examples and geometrical expl...
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Elektronisch E-Book |
| Sprache: | English |
| Veröffentlicht: |
Cambridge ; New York :
Cambridge University Press,
2011.
|
| Schlagworte: | |
| Online-Zugang: | Volltext |
| Zusammenfassung: | "V. I. Arnold reveals some unexpected connections between such apparently unrelated theories as Galois fields, dynamical systems, ergodic theory, statistics, chaos and the geometry of projective structures on finite sets. The author blends experimental results with examples and geometrical explorations to make these findings accessible to a broad range of mathematicians, from undergraduate students to experienced researchers"-- |
| Beschreibung: | 1 online resource (x, 80 pages) : illustrations |
| Format: | Master and use copy. Digital master created according to Benchmark for Faithful Digital Reproductions of Monographs and Serials, Version 1. Digital Library Federation, December 2002. |
| Bibliographie: | Includes bibliographical references and index. |
| ISBN: | 9780511992483 0511992483 9780511988691 0511988699 1107218756 9781107218758 1282967002 9781282967007 9786612967009 6612967005 0511991495 9780511991493 0511990510 9780511990519 0511975783 9780511975783 0511986890 9780511986895 |
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| 245 | 1 | 4 | |a The dynamics, statistics and projective geometry of Galois fields / |c V.I. Arnold. |
| 260 | |a Cambridge ; |a New York : |b Cambridge University Press, |c 2011. | ||
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| 520 | |a "V. I. Arnold reveals some unexpected connections between such apparently unrelated theories as Galois fields, dynamical systems, ergodic theory, statistics, chaos and the geometry of projective structures on finite sets. The author blends experimental results with examples and geometrical explorations to make these findings accessible to a broad range of mathematicians, from undergraduate students to experienced researchers"-- |c Provided by publisher | ||
| 504 | |a Includes bibliographical references and index. | ||
| 588 | 0 | |a Print version record. | |
| 505 | 8 | |a What is a Galois field? -- The organisation and tabulation of Galois fields -- Chaos and randomness in Galois field tables -- Equipartition of geometric progressions along a finite one-dimensional torus -- Adiabatic study of the distribution of geometric progressions of residues -- Projective structures generated by a Galois field -- Projective structures: example calculations -- Cubic field tables. | |
| 506 | |3 Use copy |f Restrictions unspecified |2 star |5 MiAaHDL | ||
| 533 | |a Electronic reproduction. |b [Place of publication not identified] : |c HathiTrust Digital Library, |d 2011. |5 MiAaHDL | ||
| 538 | |a Master and use copy. Digital master created according to Benchmark for Faithful Digital Reproductions of Monographs and Serials, Version 1. Digital Library Federation, December 2002. |u http://purl.oclc.org/DLF/benchrepro0212 |5 MiAaHDL | ||
| 583 | 1 | |a digitized |c 2011 |h HathiTrust Digital Library |l committed to preserve |2 pda |5 MiAaHDL | |
| 546 | |a English. | ||
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| 650 | 0 | |a Galois theory. |0 http://id.loc.gov/authorities/subjects/sh85052872 | |
| 650 | 6 | |a Corps finis. | |
| 650 | 6 | |a Théorie de Galois. | |
| 650 | 7 | |a MATHEMATICS |x Algebra |x General. |2 bisacsh | |
| 650 | 7 | |a Finite fields (Algebra) |2 fast | |
| 650 | 7 | |a Galois theory |2 fast | |
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| DE-BY-FWS_katkey | ZDB-4-EBA-ocn699487641 |
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| _version_ | 1816881750116139008 |
| adam_text | |
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| author | Arnolʹd, V. I. (Vladimir Igorevich), 1937-2010 |
| author_GND | http://id.loc.gov/authorities/names/n81037438 |
| author_facet | Arnolʹd, V. I. (Vladimir Igorevich), 1937-2010 |
| author_role | |
| author_sort | Arnolʹd, V. I. 1937-2010 |
| author_variant | v i a vi via |
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| callnumber-search | QA247.3 .A76 2011eb |
| callnumber-sort | QA 3247.3 A76 42011EB |
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| collection | ZDB-4-EBA |
| contents | What is a Galois field? -- The organisation and tabulation of Galois fields -- Chaos and randomness in Galois field tables -- Equipartition of geometric progressions along a finite one-dimensional torus -- Adiabatic study of the distribution of geometric progressions of residues -- Projective structures generated by a Galois field -- Projective structures: example calculations -- Cubic field tables. |
| ctrlnum | (OCoLC)699487641 |
| dewey-full | 512/.32 |
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| dewey-ones | 512 - Algebra |
| dewey-raw | 512/.32 |
| dewey-search | 512/.32 |
| dewey-sort | 3512 232 |
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| discipline | Mathematik |
| format | Electronic eBook |
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| id | ZDB-4-EBA-ocn699487641 |
| illustrated | Illustrated |
| indexdate | 2024-11-27T13:17:40Z |
| institution | BVB |
| isbn | 9780511992483 0511992483 9780511988691 0511988699 1107218756 9781107218758 1282967002 9781282967007 9786612967009 6612967005 0511991495 9780511991493 0511990510 9780511990519 0511975783 9780511975783 0511986890 9780511986895 |
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| oclc_num | 699487641 |
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| publisher | Cambridge University Press, |
| record_format | marc |
| spelling | Arnolʹd, V. I. (Vladimir Igorevich), 1937-2010. http://id.loc.gov/authorities/names/n81037438 The dynamics, statistics and projective geometry of Galois fields / V.I. Arnold. Cambridge ; New York : Cambridge University Press, 2011. 1 online resource (x, 80 pages) : illustrations text txt rdacontent computer c rdamedia online resource cr rdacarrier "V. I. Arnold reveals some unexpected connections between such apparently unrelated theories as Galois fields, dynamical systems, ergodic theory, statistics, chaos and the geometry of projective structures on finite sets. The author blends experimental results with examples and geometrical explorations to make these findings accessible to a broad range of mathematicians, from undergraduate students to experienced researchers"-- Provided by publisher Includes bibliographical references and index. Print version record. What is a Galois field? -- The organisation and tabulation of Galois fields -- Chaos and randomness in Galois field tables -- Equipartition of geometric progressions along a finite one-dimensional torus -- Adiabatic study of the distribution of geometric progressions of residues -- Projective structures generated by a Galois field -- Projective structures: example calculations -- Cubic field tables. Use copy Restrictions unspecified star MiAaHDL Electronic reproduction. [Place of publication not identified] : HathiTrust Digital Library, 2011. MiAaHDL Master and use copy. Digital master created according to Benchmark for Faithful Digital Reproductions of Monographs and Serials, Version 1. Digital Library Federation, December 2002. http://purl.oclc.org/DLF/benchrepro0212 MiAaHDL digitized 2011 HathiTrust Digital Library committed to preserve pda MiAaHDL English. Finite fields (Algebra) http://id.loc.gov/authorities/subjects/sh85048351 Galois theory. http://id.loc.gov/authorities/subjects/sh85052872 Corps finis. Théorie de Galois. MATHEMATICS Algebra General. bisacsh Finite fields (Algebra) fast Galois theory fast has work: Dynamics, statistics and projective geometry of Galois fields (Text) https://id.oclc.org/worldcat/entity/E39PCFxFbY4W66YfHYQtVj49wy https://id.oclc.org/worldcat/ontology/hasWork Print version: Arnolʹd, V.I. (Vladimir Igorevich), 1937-2010. Dynamics, statistics and projective geometry of Galois fields. Cambridge ; New York : Cambridge University Press, 2011 9780521872003 (DLC) 2010031765 (OCoLC)650210180 FWS01 ZDB-4-EBA FWS_PDA_EBA https://search.ebscohost.com/login.aspx?direct=true&scope=site&db=nlebk&AN=352506 Volltext |
| spellingShingle | Arnolʹd, V. I. (Vladimir Igorevich), 1937-2010 The dynamics, statistics and projective geometry of Galois fields / What is a Galois field? -- The organisation and tabulation of Galois fields -- Chaos and randomness in Galois field tables -- Equipartition of geometric progressions along a finite one-dimensional torus -- Adiabatic study of the distribution of geometric progressions of residues -- Projective structures generated by a Galois field -- Projective structures: example calculations -- Cubic field tables. Finite fields (Algebra) http://id.loc.gov/authorities/subjects/sh85048351 Galois theory. http://id.loc.gov/authorities/subjects/sh85052872 Corps finis. Théorie de Galois. MATHEMATICS Algebra General. bisacsh Finite fields (Algebra) fast Galois theory fast |
| subject_GND | http://id.loc.gov/authorities/subjects/sh85048351 http://id.loc.gov/authorities/subjects/sh85052872 |
| title | The dynamics, statistics and projective geometry of Galois fields / |
| title_auth | The dynamics, statistics and projective geometry of Galois fields / |
| title_exact_search | The dynamics, statistics and projective geometry of Galois fields / |
| title_full | The dynamics, statistics and projective geometry of Galois fields / V.I. Arnold. |
| title_fullStr | The dynamics, statistics and projective geometry of Galois fields / V.I. Arnold. |
| title_full_unstemmed | The dynamics, statistics and projective geometry of Galois fields / V.I. Arnold. |
| title_short | The dynamics, statistics and projective geometry of Galois fields / |
| title_sort | dynamics statistics and projective geometry of galois fields |
| topic | Finite fields (Algebra) http://id.loc.gov/authorities/subjects/sh85048351 Galois theory. http://id.loc.gov/authorities/subjects/sh85052872 Corps finis. Théorie de Galois. MATHEMATICS Algebra General. bisacsh Finite fields (Algebra) fast Galois theory fast |
| topic_facet | Finite fields (Algebra) Galois theory. Corps finis. Théorie de Galois. MATHEMATICS Algebra General. Galois theory |
| url | https://search.ebscohost.com/login.aspx?direct=true&scope=site&db=nlebk&AN=352506 |
| work_keys_str_mv | AT arnolʹdvi thedynamicsstatisticsandprojectivegeometryofgaloisfields AT arnolʹdvi dynamicsstatisticsandprojectivegeometryofgaloisfields |