Discrete Integrable Geometry and Physics - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Discrete Integrable Geometry and Physics write by Alexander I. Bobenko. This book was released on 1999. Discrete Integrable Geometry and Physics available in PDF, EPUB and Kindle. Recent interactions between the fields of geometry, classical and quantum dynamical systems, and visualization of geometric objects such as curves and surfaces have led to the observation that most concepts of surface theory and of the theory of integrable systems have natural discreteanalogues. These are characterized by the property that the corresponding difference equations are integrable, and has led in turn to some important applications in areas of condensed matter physics and quantum field theory, amongst others. The book combines the efforts of a distinguished team ofauthors from various fields in mathematics and physics in an effort to provide an overview of the subject. The mathematical concepts of discrete geometry and discrete integrable systems are firstly presented as fundamental and valuable theories in themselves. In the following part these concepts areput into the context of classical and quantum dynamics.
Discrete Systems and Integrability
Discrete Systems and Integrability - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Discrete Systems and Integrability write by J. Hietarinta. This book was released on 2016-09. Discrete Systems and Integrability available in PDF, EPUB and Kindle. A first introduction to the theory of discrete integrable systems at a level suitable for students and non-experts.
Discrete Integrable Systems
Discrete Integrable Systems - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Discrete Integrable Systems write by J.J. Duistermaat. This book was released on 2010-09-16. Discrete Integrable Systems available in PDF, EPUB and Kindle. This book is devoted to Quisped, Roberts, and Thompson (QRT) maps, considered as automorphisms of rational elliptic surfaces. The theory of QRT maps arose from problems in mathematical physics, involving difference equations. The application of QRT maps to these and other problems in the literature, including Poncelet mapping and the elliptic billiard, is examined in detail. The link between elliptic fibrations and completely integrable Hamiltonian systems is also discussed. The book begins with a comprehensive overview of the subject, including QRT maps, singularity confinement, automorphisms of rational elliptic surfaces, action on homology classes, and periodic QRT maps. Later chapters cover these topics and more in detail. While QRT maps will be familiar to specialists in algebraic geometry, the present volume makes the subject accessible to mathematicians and graduate students in a classroom setting or for self-study.
Discrete Integrable Systems
Discrete Integrable Systems - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Discrete Integrable Systems write by Basil Grammaticos. This book was released on 2004-06-22. Discrete Integrable Systems available in PDF, EPUB and Kindle. This volume consists of a set of ten lectures conceived as both introduction and up-to-date survey on discrete integrable systems. It constitutes a companion book to "Integrability of Nonlinear Systems" (Springer-Verlag, 2004, LNP 638, ISBN 3-540-20630-2). Both volumes address primarily graduate students and nonspecialist researchers but will also benefit lecturers looking for suitable material for advanced courses and researchers interested in specific topics.
Discrete Integrable Systems
Discrete Integrable Systems - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Discrete Integrable Systems write by Basil Grammaticos. This book was released on 2014-01-15. Discrete Integrable Systems available in PDF, EPUB and Kindle.
