Overview

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.

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9780198501602

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<br> This book is an introduction to a new emerging field of discrete geometry which has very strong ties to the theory of integrable systems, both continuous and discrete, classical and quantum. . . The book gives many specific examples of relationships between discrete geometry and various types of (discrete) integrable models. It will be useful for interested readers, both mathematicians and physicists. --EMS<br>

This book is an introduction to a new emerging field of discrete geometry which has very strong ties to the theory of integrable systems, both continuous and discrete, classical and quantum. . . The book gives many specific examples of relationships between discrete geometry and various types of (discrete) integrable models. It will be useful for interested readers, both mathematicians and physicists. --EMS This book is an introduction to a new emerging field of discrete geometry which has very strong ties to the theory of integrable systems, both continuous and discrete, classical and quantum. . . The book gives many specific examples of relationships between discrete geometry and various types of (discrete) integrable models. It will be useful for interested readers, both mathematicians and physicists. --EMS This book is an introduction to a new emerging field of discrete geometry which has very strong ties to the theory of integrable systems, both continuous and discrete, classical and quantum. . . The book gives many specific examples of relationships between discrete geometry and various types of (discrete) integrable models. It will be useful for interested readers, both mathematicians and physicists, --EMS This book is an introduction to a new emerging field of discrete geometry which has very strong ties to the theory of integrable systems, both continuous and discrete, classical and quantum. . . The book gives many specific examples of relationships between discrete geometry and various types of (discrete) integrable models. It will be useful for interested readers, both mathematicians and physicists. --EMS

This book is an introduction to a new emerging field of discrete geometry which has very strong ties to the theory of integrable systems, both continuous and discrete, classical and quantum. . . The book gives many specific examples of relationships between discrete geometry and various types of (discrete) integrable models. It will be useful for interested readers, both mathematicians and physicists. --EMS<br>

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