The Arithmetic of Dynamical Systems

von J. H. Silverman
Taschenbuch - 9781441924179
58,84 €
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Hardcover - 9780387699035
74,89 €

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Weitere Formate

Hardcover - 9780387699035
74,89 €

Beschreibung

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 http://www. 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.

Details

Verlag Springer New York
Ersterscheinung November 2010
Maße 235 mm x 155 mm x 28 mm
Gewicht 789 Gramm
Format Taschenbuch
ISBN-13 9781441924179
Auflage Softcover reprint of hardcover 1st ed. 2007
Seiten 528

Schlagwörter