Classical and Discrete Differential Geometry
portes grátis
Classical and Discrete Differential Geometry
Theory, Applications and Algorithms
Saucan, Emil; Gu, David Xianfeng
Taylor & Francis Ltd
10/2024
568
Mole
9781032396200
Pré-lançamento - envio 15 a 20 dias após a sua edição
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Section I Differential Geometry, Classical and Discrete 1. Curves 2. Surfaces: Gauss Curvature - First Definition 3. Metrization of Gauss Curvature 4. Gauss Curvature and Theorema Egregium 5. The Mean and Gauss Curvature Flows 6. Geodesics 7. Geodesics and Curvature 8. The Equations of Compatibility 9. The Gauss-Bonnet Theorem and the Poincare Index Theorem 10. Higher Dimensional Curvatures 11. Higher Dimensional Curvatures 12. Discrete Ricci Curvature and Flow 13. Weighted Manifolds and Ricci Curvature Revisited Section II Differential Geometry, Computational Aspects 14. Algebraic Topology 15. Homology and Cohomology Group 16. Exterior Calculus and Hodge Decomposition 17. Harmonic Map 18. Riemann Surface 19. Conformal Mapping 20. Discrete Surface Curvature Flows 21. Mesh Generation Based on Abel-Jacobi Theorem Section III Appendices 22. Appendix A 23. Appendix B 24. Appendix C
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Computer Science;Differential Geometry;Graphics and Imaging;Curvature;Ricci Flow;Gauss Bonnet Theorem;Hyperbolic Plane;Polyhedral Surfaces;Principal Curvatures;Ricci Curvature;Riemannian Metric;Conformally Mapped;Topological Disk;Persistent Homology;Parallel Transport;Gauss Curvature;Holomorphic Quadratic Differential;Ordinary Differential Equation;Universal Covering Space;Theorema Egregium;Riemann Surface;Meromorphic Function;Jacobi Field;Riemann Mapping;Scalar Curvature;Christoffel Symbols;Isometric Embedding;Index Theorem;Geodesic Curvature
Section I Differential Geometry, Classical and Discrete 1. Curves 2. Surfaces: Gauss Curvature - First Definition 3. Metrization of Gauss Curvature 4. Gauss Curvature and Theorema Egregium 5. The Mean and Gauss Curvature Flows 6. Geodesics 7. Geodesics and Curvature 8. The Equations of Compatibility 9. The Gauss-Bonnet Theorem and the Poincare Index Theorem 10. Higher Dimensional Curvatures 11. Higher Dimensional Curvatures 12. Discrete Ricci Curvature and Flow 13. Weighted Manifolds and Ricci Curvature Revisited Section II Differential Geometry, Computational Aspects 14. Algebraic Topology 15. Homology and Cohomology Group 16. Exterior Calculus and Hodge Decomposition 17. Harmonic Map 18. Riemann Surface 19. Conformal Mapping 20. Discrete Surface Curvature Flows 21. Mesh Generation Based on Abel-Jacobi Theorem Section III Appendices 22. Appendix A 23. Appendix B 24. Appendix C
Este título pertence ao(s) assunto(s) indicados(s). Para ver outros títulos clique no assunto desejado.
Computer Science;Differential Geometry;Graphics and Imaging;Curvature;Ricci Flow;Gauss Bonnet Theorem;Hyperbolic Plane;Polyhedral Surfaces;Principal Curvatures;Ricci Curvature;Riemannian Metric;Conformally Mapped;Topological Disk;Persistent Homology;Parallel Transport;Gauss Curvature;Holomorphic Quadratic Differential;Ordinary Differential Equation;Universal Covering Space;Theorema Egregium;Riemann Surface;Meromorphic Function;Jacobi Field;Riemann Mapping;Scalar Curvature;Christoffel Symbols;Isometric Embedding;Index Theorem;Geodesic Curvature
