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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.
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- ÉditeurSpringer-Verlag New York Inc.
- Date d'édition2007
- ISBN 10 0387699031
- ISBN 13 9780387699035
- ReliureRelié
- Langueanglais
- Nombre de pages511
- Coordonnées du fabricantnon disponible
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The Arithmetic of Dynamical Systems
Edité par
Springer New York, 2007
ISBN 10 : 0387699031
ISBN 13 : 9780387699035
Neuf
Couverture rigide
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Gebunden. Etat : New. Dieser Artikel ist ein Print on Demand Artikel und wird nach Ihrer Bestellung fuer Sie gedruckt. Provides an entry for graduate students into an active field of researchEach chapter includes exercises, examples, and figuresWill become a standard reference for researchers in the fieldContains a description of many known results a. N° de réf. du vendeur 5910531
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The Arithmetic of Dynamical Systems (Graduate Texts in Mathematics, 241)
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Springer, 2007
ISBN 10 : 0387699031
ISBN 13 : 9780387699035
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The Arithmetic of Dynamical Systems (Graduate Texts in Mathematics, 241) [Hardcover] Joseph H. Silverman
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Springer, 2007
ISBN 10 : 0387699031
ISBN 13 : 9780387699035
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The Arithmetic of Dynamical Systems
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Springer New York Jun 2007, 2007
ISBN 10 : 0387699031
ISBN 13 : 9780387699035
Neuf
Couverture rigide
Vendeur : BuchWeltWeit Ludwig Meier e.K., Bergisch Gladbach, Allemagne
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Buch. Etat : Neu. This item is printed on demand - it takes 3-4 days longer - Neuware -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. 528 pp. Englisch. N° de réf. du vendeur 9780387699035
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The Arithmetic of Dynamical Systems (Graduate Texts in Mathematics, 241)
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The Arithmetic of Dynamical Systems
Edité par
Springer New York, Springer New York Jun 2007, 2007
ISBN 10 : 0387699031
ISBN 13 : 9780387699035
Neuf
Couverture rigide
Vendeur : buchversandmimpf2000, Emtmannsberg, BAYE, Allemagne
Évaluation du vendeur 5 sur 5 étoiles
Buch. Etat : Neu. Neuware -This book is designed to provide a path for the reader into an amalgamation oftwo venerable areas ofmathematics, Dynamical Systems and Number Theory. Many of the motivating theorems and conjectures in the new subject of Arithmetic Dynamics may be viewed as the transposition ofclassical results in the theory ofDiophantine equations to the setting of discrete dynamical systems, especially to the iteration theory ofmaps on the projective line and other algebraic varieties. Although there is no precise dictionary connecting the two areas, the reader will gain a flavor of the correspondence from the following associations: Diophantine Equations Dynamical Systems rational and integral rational and integral points on varieties points in orbits torsion points on periodic and preperiodic abelian varieties points ofrational maps There are a variety of topics covered in this volume, but inevitably the choice reflects the author's tastes and interests. Many related areas that also fall under the heading ofarithmetic or algebraic dynamics have been omitted in order to keep the book to a manageable length. A brief list of some of these omitted topics may be found in the introduction. Online Resources The reader will find additonal material, references and errata at math. brown. ectu/-jhs/ADSHome. html Acknowledgments The author has consulted a great many sources in writing this book. Every attempt has been made to give proper attribution for all but the most standard results.Springer Verlag GmbH, Tiergartenstr. 17, 69121 Heidelberg 528 pp. Englisch. N° de réf. du vendeur 9780387699035
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The Arithmetic of Dynamical Systems
Edité par
Springer New York, Springer New York, 2007
ISBN 10 : 0387699031
ISBN 13 : 9780387699035
Neuf
Couverture rigide
Vendeur : AHA-BUCH GmbH, Einbeck, Allemagne
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Buch. Etat : Neu. Druck auf Anfrage Neuware - Printed after ordering - This book is designed to provide a path for the reader into an amalgamation oftwo venerable areas ofmathematics, Dynamical Systems and Number Theory. Many of the motivating theorems and conjectures in the new subject of Arithmetic Dynamics may be viewed as the transposition ofclassical results in the theory ofDiophantine equations to the setting of discrete dynamical systems, especially to the iteration theory ofmaps on the projective line and other algebraic varieties. Although there is no precise dictionary connecting the two areas, the reader will gain a flavor of the correspondence from the following associations: Diophantine Equations Dynamical Systems rational and integral rational and integral points on varieties points in orbits torsion points on periodic and preperiodic abelian varieties points ofrational maps There are a variety of topics covered in this volume, but inevitably the choice reflects the author's tastes and interests. Many related areas that also fall under the heading ofarithmetic or algebraic dynamics have been omitted in order to keep the book to a manageable length. A brief list of some of these omitted topics may be found in the introduction. Online Resources The reader will find additonal material, references and errata at math. brown. ectu/-jhs/ADSHome. html Acknowledgments The author has consulted a great many sources in writing this book. Every attempt has been made to give proper attribution for all but the most standard results. N° de réf. du vendeur 9780387699035
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Arithmetic of Dynamical Systems
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The Arithmetic of Dynamical Systems (Graduate Texts in Mathematics, 241)
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