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Advanced Topics in the Arithmetic of Elliptic Curves
Language: en
Pages: 482
Authors: Joseph H. Silverman
Categories: Mathematics
Type: BOOK - Published: 2013-12-01 - Publisher: Springer Science & Business Media

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In the introduction to the first volume of The Arithmetic of Elliptic Curves (Springer-Verlag, 1986), I observed that "the theory of elliptic curves is rich, va
The Arithmetic of Dynamical Systems
Language: en
Pages: 518
Authors: J.H. Silverman
Categories: Mathematics
Type: BOOK - Published: 2007-06-06 - Publisher: Springer Science & Business Media

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This book provides an introduction to the relatively new discipline of arithmetic dynamics. Whereas classical discrete dynamics is the study of iteration of sel
Mathematics of Complexity and Dynamical Systems
Language: en
Pages: 1885
Authors: Robert A. Meyers
Categories: Mathematics
Type: BOOK - Published: 2011-10-05 - Publisher: Springer Science & Business Media

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Mathematics of Complexity and Dynamical Systems is an authoritative reference to the basic tools and concepts of complexity, systems theory, and dynamical syste
Moduli Spaces and Arithmetic Dynamics
Language: en
Pages: 151
Authors: Joseph H. Silverman
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Heights of Polynomials and Entropy in Algebraic Dynamics
Language: en
Pages: 217
Authors: Graham Everest
Categories: Mathematics
Type: BOOK - Published: 2013-06-29 - Publisher: Springer Science & Business Media

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The main theme of this book is the theory of heights as they appear in various guises. This includes a large body of results on Mahlers measure of the height of