Discrete Integrable Systems QRT Maps and Elliptic Surfaces
The rich subject matter in this book brings in mathematics from different domains, especially from the theory of elliptic surfaces and dynamics.The material comes from the author’s insights and understanding of a birational transformation of the plane derived from a discrete sine-Gordon equation, po...
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| Autor Corporativo: | |
| Formato: | Libro electrónico |
| Idioma: | Inglés |
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New York, NY :
Springer New York
2010.
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| Edición: | 1st ed |
| Colección: | Springer Monographs in Mathematics.
Springer eBooks. |
| Acceso en línea: | Conectar con la versión electrónica |
| Ver en Universidad de Navarra: | https://innopac.unav.es/record=b32908568*spi |
| Sumario: | The rich subject matter in this book brings in mathematics from different domains, especially from the theory of elliptic surfaces and dynamics.The material comes from the author’s insights and understanding of a birational transformation of the plane derived from a discrete sine-Gordon equation, posing the question of determining the behavior of the discrete dynamical system defined by the iterates of the map. The aim of this book is to give a complete treatment not only of the basic facts about QRT maps, but also the background theory on which these maps are based. Readers with a good knowledge of algebraic geometry will be interested in Kodaira’s theory of elliptic surfaces and the collection of nontrivial applications presented here. While prerequisites for some readers will demand their knowledge of quite a bit of algebraic- and complex analytic geometry, different categories of readers will be able to become familiar with any selected interest in the book without having to make an extensive journey through the literature. |
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| Descripción Física: | XXII, 627 p., 116 il |
| Formato: | Forma de acceso: World Wide Web. |
| ISBN: | 9781441991263 |
