The arithmetic of dynamical systems:
This book provides an introduction to the relatively new discipline of arithmetic dynamics. Whereas classical discrete dynamics is the study of iteration of self-maps of the complex plane or real line, arithmetic dynamics is the study of the number-theoretic properties of rational and algebraic poin...
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Buch |
| Sprache: | English |
| Veröffentlicht: |
New York, NY
Springer
[2010]
|
| Schriftenreihe: | Graduate texts in mathematics
241 |
| Schlagworte: | |
| Zusammenfassung: | This book provides an introduction to the relatively new discipline of arithmetic dynamics. Whereas classical discrete dynamics is the study of iteration of self-maps of the complex plane or real line, arithmetic dynamics is the study of the number-theoretic properties of rational and algebraic points under repeated application of a polynomial or rational function. A principal theme of arithmetic dynamics is that many of the fundamental problems in the theory of Diophantine equations have dynamical analogs. As is typical in any subject combining Diophantine problems and geometry, a fundamental goal is to describe arithmetic properties, at least qualitatively, in terms of underlying geometric structures. |
| Beschreibung: | ix, 511 Seiten 11 Illustrationen |
| ISBN: | 9781441924179 |
Internformat
MARC
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| 245 | 1 | 0 | |a The arithmetic of dynamical systems |c Joseph H. Silverman |
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| 264 | 4 | |c © 2010 | |
| 300 | |a ix, 511 Seiten |b 11 Illustrationen | ||
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| 490 | 1 | |a Graduate texts in mathematics |v 241 | |
| 520 | 3 | |a This book provides an introduction to the relatively new discipline of arithmetic dynamics. Whereas classical discrete dynamics is the study of iteration of self-maps of the complex plane or real line, arithmetic dynamics is the study of the number-theoretic properties of rational and algebraic points under repeated application of a polynomial or rational function. A principal theme of arithmetic dynamics is that many of the fundamental problems in the theory of Diophantine equations have dynamical analogs. As is typical in any subject combining Diophantine problems and geometry, a fundamental goal is to describe arithmetic properties, at least qualitatively, in terms of underlying geometric structures. | |
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Datensatz im Suchindex
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| dewey-full | 513/.39 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 513 - Arithmetic |
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| dewey-search | 513/.39 |
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| dewey-tens | 510 - Mathematics |
| discipline | Mathematik |
| discipline_str_mv | Mathematik |
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| illustrated | Illustrated |
| index_date | 2024-07-03T22:21:25Z |
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| isbn | 9781441924179 |
| language | English |
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| spelling | Silverman, Joseph H. 1955- Verfasser (DE-588)118906933 aut The arithmetic of dynamical systems Joseph H. Silverman New York, NY Springer [2010] © 2010 ix, 511 Seiten 11 Illustrationen txt rdacontent n rdamedia nc rdacarrier Graduate texts in mathematics 241 This book provides an introduction to the relatively new discipline of arithmetic dynamics. Whereas classical discrete dynamics is the study of iteration of self-maps of the complex plane or real line, arithmetic dynamics is the study of the number-theoretic properties of rational and algebraic points under repeated application of a polynomial or rational function. A principal theme of arithmetic dynamics is that many of the fundamental problems in the theory of Diophantine equations have dynamical analogs. As is typical in any subject combining Diophantine problems and geometry, a fundamental goal is to describe arithmetic properties, at least qualitatively, in terms of underlying geometric structures. Dynamique - Manuels d'enseignement supérieur Dynamische systemen gtt Gestaltheorie gtt Théorie des nombres - Manuels d'enseignement supérieur Dynamics Number theory Arithmetik (DE-588)4002919-0 gnd rswk-swf Dynamisches System (DE-588)4013396-5 gnd rswk-swf (DE-588)4123623-3 Lehrbuch gnd-content Dynamisches System (DE-588)4013396-5 s Arithmetik (DE-588)4002919-0 s DE-604 Äquivalent Druck-Ausgabe, Hardcover 978-0-387-69903-5 Erscheint auch als Online-Ausgabe 9780387699042 Graduate texts in mathematics 241 (DE-604)BV000000067 241 |
| spellingShingle | Silverman, Joseph H. 1955- The arithmetic of dynamical systems Graduate texts in mathematics Dynamique - Manuels d'enseignement supérieur Dynamische systemen gtt Gestaltheorie gtt Théorie des nombres - Manuels d'enseignement supérieur Dynamics Number theory Arithmetik (DE-588)4002919-0 gnd Dynamisches System (DE-588)4013396-5 gnd |
| subject_GND | (DE-588)4002919-0 (DE-588)4013396-5 (DE-588)4123623-3 |
| title | The arithmetic of dynamical systems |
| title_auth | The arithmetic of dynamical systems |
| title_exact_search | The arithmetic of dynamical systems |
| title_exact_search_txtP | The arithmetic of dynamical systems |
| title_full | The arithmetic of dynamical systems Joseph H. Silverman |
| title_fullStr | The arithmetic of dynamical systems Joseph H. Silverman |
| title_full_unstemmed | The arithmetic of dynamical systems Joseph H. Silverman |
| title_short | The arithmetic of dynamical systems |
| title_sort | the arithmetic of dynamical systems |
| topic | Dynamique - Manuels d'enseignement supérieur Dynamische systemen gtt Gestaltheorie gtt Théorie des nombres - Manuels d'enseignement supérieur Dynamics Number theory Arithmetik (DE-588)4002919-0 gnd Dynamisches System (DE-588)4013396-5 gnd |
| topic_facet | Dynamique - Manuels d'enseignement supérieur Dynamische systemen Gestaltheorie Théorie des nombres - Manuels d'enseignement supérieur Dynamics Number theory Arithmetik Dynamisches System Lehrbuch |
| volume_link | (DE-604)BV000000067 |
| work_keys_str_mv | AT silvermanjosephh thearithmeticofdynamicalsystems |