Discrete differential geometry: integrable structure
"An emerging field of discrete differential geometry aims at the development of discrete equivalents of notions and methods of classical differential geometry. The latter appears as a limit of a refinement of the discretization. Current interest in discrete differential geometry derives not only from its importance in pure mathematics but also from its applications in computer graphics, theoretical physics, architecture, and numerics. Rather unexpectedly, the very basic structures of discrete d…
Read More ↓Title Statements
- Full title :Discrete differential geometry : integrable structure / Alexander I. Bobenko, Yuri B. Suris.
Summary
"An emerging field of discrete differential geometry aims at the development of discrete equivalents of notions and methods of classical differential geometry. The latter appears as a limit of a refinement of the discretization. Current interest in discrete differential geometry derives not only from its importance in pure mathematics but also from its applications in computer graphics, theoretical physics, architecture, and numerics. Rather unexpectedly, the very basic structures of discrete differential geometry turn out to be related to the theory of Integrable systems. One of the main goals of this book Is to reveal this integrable structure of discrete differential geometry." "The intended audience of this book is threefold. It is a textbook on discrete differential geometry and integrable systems suitable for a one semester graduate course. On the other hand, it is addressed to specialists in geometry and mathematical physics. It reflects the recent progress in discrete differential geometry and contains many original results. The third group of readers at which this book is targeted is formed by specialists in geometry processing, computer graphics, architectural design, numerical simulations, and animation. They may find here answers to the question "How do we discretize differential geometry?" arising in their specific field."--Jacket.
Read More ↓Edition Statements
- Publication Date:©2008.
Publication Statements
- Publisher(s):American mathematical Society
- Place of Publication:Providence, R.I
- Language:eng
- Publication Date:©2008.
The Physical Object
- Description:xxiv, 404 pages : : illustrations ; : 26 cm.
Edition Identifiers
- ISBN:9780821847008, 0821847007
- oclc:ocn233173615
- LC Classification:QA672
- Dewey Decimal:516.3/62
Table of Contents
Classical Differential Geometry -- Discretization Principles. Multidimensional Nets -- Discretization Principles. Nets in Quadrics -- Special Classes of Discrete Surfaces -- Approximation -- Consistency as Integrability -- Discrete Complex Analysis. Linear Theory -- Discrete Complex Analysis. Integrable Circle Patterns -- Foundations.
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