Classical and discrete differential geometry : theory, applications and algorithms /: theory, applications and algorithms. (2022)

• Record Type: Book
• Further Information: Note: David Xianfeng Gu, Emil Saucan.
• Authors: Gu, Xianfeng David; Saucan, Emil, 1961-
• Contents: 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
• Edition: 1st
• Publisher Details: Boca Raton : CRC Press
• Publication Date: 2022
• Extent: 1 online resource
• Subjects: 516.36; Geometry, Differential
• Languages: English
• ISBNs: 9781000804461; 9781000804454
• Related ISBNs: 9781032390178
• Notes: Note: Description based on CIP data; resource not viewed.
• Access Rights: Legal Deposit; Only available on premises controlled by the deposit library and to one user at any one time; The Legal Deposit Libraries (Non-Print Works) Regulations (UK).
• Access Usage: Restricted: Printing from this resource is governed by The Legal Deposit Libraries (Non-Print Works) Regulations (UK) and UK copyright law currently in force.