Introduction to Differential Geometry and Riemannian Geometry
eBook - PDF

Introduction to Differential Geometry and Riemannian Geometry

  1. 382 pages
  2. English
  3. PDF
  4. Available on iOS & Android
eBook - PDF

Introduction to Differential Geometry and Riemannian Geometry

About this book

This book provides an introduction to the differential geometry of curves and surfaces in three-dimensional Euclidean space and to n-dimensional Riemannian geometry. Based on Kreyszig's earlier book Differential Geometry, it is presented in a simple and understandable manner with many examples illustrating the ideas, methods, and results.

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Yes, you can access Introduction to Differential Geometry and Riemannian Geometry by Erwin Kreyszig in PDF and/or ePUB format, as well as other popular books in Education & Education General. We have over one million books available in our catalogue for you to explore.

Information

Table of contents

  1. Preface
  2. Contents
  3. Important Notations
  4. I. Preliminaries
  5. II. Theory Of Curves
  6. III. Notion Of A Surface. First Fundamental Form
  7. IV. Second Fundamental Form. Gaussian And Mean Curvature
  8. V. Tensors
  9. VI. Formulae Of Weingarten And Gauss
  10. VII. Geodesic Curvature. Geodesics
  11. VIII. Isometric Mapping Of Surfaces
  12. IX. Further Mappings Of Surfaces
  13. X. Topics From Global Differential Geometry
  14. XI. Absolute Differentiation And Connexions On Surfaces
  15. XII. Special Surfaces
  16. XIII. Foundations Of Riemannian Geometry
  17. XIV. Absolute Differentiation And Connexion
  18. XV. Further Properties Of Riemannian Manifolds
  19. XVI. Hypersurfaces
  20. Answers to Odd-Numbered Problems
  21. Collection Of Formulae
  22. Bibliography
  23. Index