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Topological Modeling for Visualization

Overview of attention for book
Cover of 'Topological Modeling for Visualization'

Table of Contents

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    Book Overview
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    Chapter 1 Curves
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    Chapter 2 The Notion of a Riemannian Metric
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    Chapter 3 Local Theory of Surfaces
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    Chapter 4 The Classification of Surfaces
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    Chapter 5 Abstract Manifolds
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    Chapter 6 Critical Points and Morse Theory
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    Chapter 7 Application: Analyzing Human Body Motions Using Manifolds and Critical Points
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    Chapter 8 Computer Examination of Surfaces and Morse Functions
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    Chapter 9 Height Functions and Distance Functions
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    Chapter 10 Homotopies and Surface Generation
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    Chapter 11 Homology
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    Chapter 12 Geodesics
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    Chapter 13 Transformation Groups
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    Chapter 14 Computers and Visualization in Hyperbolic Three-Dimensional Geometry and Topology
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    Chapter 15 Integrable Hamiltonian Systems with Two Degrees of Freedom
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    Chapter 16 Topological and Orbital Analysis of Integrable Lagrange and Goryachev-Chaplygin Problems
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    Chapter 17 Numerical Calculation of the Orbital Invariant of Goryachev—Chaplygin and Lagrange Systems
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    Chapter 18 Ridges, Ravines and Singularities
Attention for Chapter 5: Abstract Manifolds
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