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Item Details
| Title:
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THE ARITHMETIC OF DYNAMICAL SYSTEMS
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| By: |
Joseph H. Silverman |
| Format: |
Hardback |
| List price:
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£74.99 |
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We currently do not stock this item, please contact the publisher directly for
further information.
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| ISBN 10: |
0387699031 |
| ISBN 13: |
9780387699035 |
| Publisher: |
SPRINGER-VERLAG NEW YORK INC. |
| Pub. date: |
6 June, 2007 |
| Series: |
Graduate Texts in Mathematics 241 |
| Pages: |
511 |
| Description: |
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 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. This graduate-level text provides an entry for students into an active field of research and serves as a standard reference for researchers. |
| Synopsis: |
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.This graduate-level text provides an entry for students into an active field of research and serves as a standard reference for researchers. |
| Illustrations: |
11 Illustrations, black and white; XVI, 511 p. 11 illus. |
| Publication: |
US |
| Imprint: |
Springer-Verlag New York Inc. |
| Returns: |
Returnable |
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