Knots and primes : an introduction to arithmetic topology
This is a foundation for arithmetic topology - a new branch of mathematics which is focused upon the analogy between knot theory and number theory. Starting with an informative introduction to its origins, namely Gauss, this text provides a background on knots, three manifolds and number fields. Co...
保存先:
| 第一著者: | |
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| フォーマット: | Livre numérique |
| 言語: | Anglais |
| 出版事項: |
London :
Springer London
[20..].
Cham : Springer Nature |
| 版: | 1st ed. 2012. |
| シリーズ: | Universitext
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| 主題: | |
| オンライン･アクセス: | Accès sur la plateforme de l'éditeur Accès sur la plateforme Istex Accès Université d'Orléans Accès INSA CVL |
| 注記: |
Titre provenant de la page de titre du document numérique Archives Springer e-books (Licence nationale) Archives Springer e-books (Licence nationale) |
| Autres localisations: | Voir dans le Sudoc |
| Edition sous un autre format: | • Knots and primes, an introduction to arithmetic topology, Masanori Morishita, 2012, London, Springer, 1 vol. (XI-191 p.), Universitext, 978-1-447-12157-2 • Knots and primes, an introduction to arithmetic topology, Masanori Morishita, 2012, London, Springer, 1 vol. (XI-191 p.), Universitext, 978-1-447-12157-2 • Knots and Primes, Texte imprimé, 9781447121596 |
| 要約: | This is a foundation for arithmetic topology - a new branch of mathematics which is focused upon the analogy between knot theory and number theory. Starting with an informative introduction to its origins, namely Gauss, this text provides a background on knots, three manifolds and number fields. Common aspects of both knot theory and number theory, for instance knots in three manifolds versus primes in a number field, are compared throughout the book. These comparisons begin at an elementary level, slowly building up to advanced theories in later chapters. Definitions are carefully formulated and proofs are largely self-contained. When necessary, background information is provided and theory is accompanied with a number of useful examples and illustrations, making this a useful text for both undergraduates and graduates in the field of knot theory, number theory and geometry. |
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| 記述事項: | Titre provenant de la page de titre du document numérique Archives Springer e-books (Licence nationale) Archives Springer e-books (Licence nationale) |
| 書誌: | Bibliogr. p. 181-187 de l'édition imprimée. Index |
| ISBN: | 9781447121589 |
| ISSN: | 2191-6675 |
| アクセス: | Accès en ligne pour les établissements français bénéficiaires des licences nationales Accès soumis à abonnement pour tout autre établissement Conditions particulières de réutilisation pour les bénéficiaires des licences nationales. https://www.licencesnationales.fr/springer-nature-ebooks-contrat-licence-ln-2017 |