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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
5.1 Curve Theory
5.2 Local Theory of Surfaces
5.2.1 Regular Surface
5.2.2 First Fundamental Form
5.2.3 Second Fundamental Form
5.2.4 Weingarten Transformation
5.3 Orthonormal Movable Frame
5.3.1 Structure Equation
5.4 Covariant Differentiation
5.4.1 Geodesic Curvature
5.5 Gauss-Bonnet Theorem
5.6 Index Theorem of Tangent Vector Field
5.7 Minimal Surface
5.7.1 Weierstrass Representation
5.7.2 Costa Minimal Surface
Problems
5 Differential Geometry of Surfaces
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