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The Arithmetic of Dynamical Systems (Graduate Texts in Mathematics)
Joseph H. Silverman
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Description for The Arithmetic of Dynamical Systems (Graduate Texts in Mathematics)
Hardcover. Arithmetic dynamics is the study of the number-theoretic properties of rational and algebraic points under repeated application of a polynomial or rational function. This book presents an introduction to the discipline of arithmetic dynamics. Series: Graduate Texts in Mathematics. Num Pages: 527 pages, 11 black & white illustrations, biography. BIC Classification: PBK. Category: (P) Professional & Vocational; (UP) Postgraduate, Research & Scholarly; (UU) Undergraduate. Dimension: 234 x 156 x 28. Weight in Grams: 912.
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.
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.
Product Details
Format
Hardback
Publication date
2007
Publisher
Springer
Condition
New
Series
Graduate Texts in Mathematics
Number of Pages
511
Place of Publication
New York, NY, United States
ISBN
9780387699035
SKU
V9780387699035
Shipping Time
Usually ships in 15 to 20 working days
Ref
99-15
Reviews for The Arithmetic of Dynamical Systems (Graduate Texts in Mathematics)
From the reviews: The connections between dynamical systems and number theory arise in many different ways. ... This remarkable book unifies and clarifies one of these connections, in the setting of what might be called `Arithmetic Dynamical Systems'. ... suitable for many graduate students. ... This book should be of great interest ... Read more