Discrete Integrable Geometry and Physics: No.16 (Oxford Lecture Series in Mathematics and Its Applications) - Hardcover

Hardcover

ISBN 10: 0198501609 ISBN 13: 9780198501602

Publisher: Clarendon Press, 1999

Synopsis

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 discrete analogues. 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 of authors 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 are put into the context of classical and quantum dynamics.

About this title

About the Author

Alexander I. Bobenko and Ruedi Seiler are professors of mathematics at the Technische Universität Berlin.

Edition details

• Publisher: Clarendon Press
• Publication date: 1999
• Language: English
• ISBN 10: 0198501609
• ISBN 13: 9780198501602
• Binding: Hardcover
• Number of pages: 406
• Editor: Bobenko Alexander I., Seiler Ruedi