[PDF.34nz] The Arithmetic of Dynamical Systems (Graduate Texts in Mathematics)

The Arithmetic of Dynamical Systems (Graduate Texts in Mathematics)

[PDF.el91] The Arithmetic of Dynamical Systems (Graduate Texts in Mathematics)

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 | #2838757 in Books |  2010-08-03 | Original language:English | PDF # 1 |  9.25 x1.19 x6.10l,1.61 | File type: PDF | 511 pages

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||9 of 11 people found the following review helpful.| A fine overview of nonarchimedean dynamics|By Dr. Lee D. Carlson|The topic of dynamical systems means different things depending on whether you are an in the field of engineering, mathematics, or physics. Engineers will tend to think of it as essentially Newtonian mechanics, whereas physicists will view it as a study of physical systems that are chaotic. Mathematicians have tr| ||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 Syst

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 Dioph...

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