MARC details
| 000 -LEADER |
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| fixed length control field |
02454nmm a22002415i 4500 |
| 005 - DATE AND TIME OF LATEST TRANSACTION |
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| control field |
20230705150638.0 |
| 008 - FIXED-LENGTH DATA ELEMENTS--GENERAL INFORMATION |
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| fixed length control field |
100504s2007 xxu| s |||| 0|eng d |
| 020 ## - INTERNATIONAL STANDARD BOOK NUMBER |
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| International Standard Book Number |
9780387699042 |
| -- |
978-0-387-69904-2 |
| 082 ## - DEWEY DECIMAL CLASSIFICATION NUMBER |
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| Classification number |
515.39 |
| Edition number |
23 |
| 100 ## - MAIN ENTRY--PERSONAL NAME |
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| Personal name |
Silverman, J.H. |
| 9 (RLIN) |
20535 |
| 245 14 - TITLE STATEMENT |
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| Title |
The Arithmetic of Dynamical Systems |
| Medium |
[electronic resource] / |
| Statement of responsibility, etc. |
by J.H. Silverman. |
| 250 ## - EDITION STATEMENT |
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| Edition statement |
1st ed. 2007. |
| 260 ## - PUBLICATION, DISTRIBUTION, ETC. |
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| Place of publication, distribution, etc. |
New York, NY : |
| Name of publisher, distributor, etc. |
Springer New York : |
| -- |
Imprint: Springer, |
| Date of publication, distribution, etc. |
2007. |
| 300 ## - PHYSICAL DESCRIPTION |
|---|
| Extent |
XVI, 511 p. 11 illus. |
| Other physical details |
online resource. |
| 505 ## - FORMATTED CONTENTS NOTE |
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| Formatted contents note |
An Introduction to Classical Dynamics -- Dynamics over Local Fields: Good Reduction -- Dynamics over Global Fields -- Families of Dynamical Systems -- Dynamics over Local Fields: Bad Reduction -- Dynamics Associated to Algebraic Groups -- Dynamics in Dimension Greater Than One. |
| 520 ## - SUMMARY, ETC. |
|---|
| Summary, etc. |
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. Key features: - Provides an entry for graduate students into an active field of research - Provides a standard reference source for researchers - Includes numerous exercises and examples - Contains a description of many known results and conjectures, as well as an extensive glossary, bibliography, and index This graduate-level text assumes familiarity with basic algebraic number theory. Other topics, such as basic algebraic geometry, elliptic curves, nonarchimedean analysis, and the theory of Diophantine approximation, are introduced and referenced as needed. Mathematicians and graduate students will find this text to be an excellent reference. |
| 650 ## - SUBJECT ADDED ENTRY--TOPICAL TERM |
|---|
| Topical term or geographic name entry element |
Dynamical systems. |
| 9 (RLIN) |
20536 |
|
|---|
| Topical term or geographic name entry element |
Artificial intelligence-Data processing. |
| 9 (RLIN) |
20537 |
|
|---|
| Topical term or geographic name entry element |
Dynamical Systems. |
| 9 (RLIN) |
20538 |
|
|---|
| Topical term or geographic name entry element |
Data Science. |
| 9 (RLIN) |
20539 |
| 856 ## - ELECTRONIC LOCATION AND ACCESS |
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| Uniform Resource Identifier |
<a href="https://doi.org/10.1007/978-0-387-69904-2">https://doi.org/10.1007/978-0-387-69904-2</a> |
| 942 ## - ADDED ENTRY ELEMENTS (KOHA) |
|---|
| Koha item type |
e-Book |
