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丛书简介
力学基础与工程技术前沿
Computational Conformal Geometry
作 者:
丘成桐、顾险峰
ISBN:978-7-04-023189-2 出版时间:2007-12-05
全书目录
本章目录
内封
版权
目录
前辅文
1 Introduction
Part I Theories
2 Homotopy Group
3 Homology and Cohomology
4 Exterior Differential Calculus
5 Differential Geometry of Surfaces
6 Riemann Surface
7 Harmonic Maps and Surface Ricci Flow
8 Geometric Structure
Part II Algorithms
9 Topological Algorithms
10 Algorithms for Harmonic Maps
11 Harmonic Forms and Holomorphic Forms
12 Discrete Ricci Flow
A Major Algorithms
B Acknowledgement
Reference
Index
10.1 Piecewise Linear Functional Space, Inner Product and Laplacian
10.2 Newton's Method for Open Surface
10.3 Non-Linear Heat Diffusion for Closed Surfaces
10.4 Riemann Mapping
10.5 Least Square Method for Solving Beltrami Equation
10.6 General Surface Mapping
Further Readings
Problems
10 Algorithms for Harmonic Maps
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