Mechanics in Differential Geometry
eBook - PDF

Mechanics in Differential Geometry

  1. 588 pages
  2. English
  3. PDF
  4. Available on iOS & Android
eBook - PDF

Mechanics in Differential Geometry

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Yes, you can access Mechanics in Differential Geometry by Yves Talpaert in PDF and/or ePUB format, as well as other popular books in Mathematics & Applied Mathematics. We have over one million books available in our catalogue for you to explore.

Information

Publisher
De Gruyter
Year
2012
Print ISBN
9783110631067
eBook ISBN
9783110917796
Edition
1
Topic
Mathematics
Subtopic
Applied Mathematics
Index
Mathematics

Table of contents

  1. CONTENTS
  2. PREFACE
  3. CHAPTER ĪŸ. INTRODUCTION TO TENSORS
  4. 1. WELL KNOWN CONCEPTS
  5. 2. OPERATIONS ON TENSORS
  6. CHAPTER 1. FOUNDATIONS OF DIFFERENTIAL GEOMETRY
  7. 1. MANIFOLDS
  8. 2. TANGENT VECTOR SPACE
  9. 3. TANGENT BUNDLE, VECTOR FIELD, AND LIE ALGEBRA
  10. 4. COTANGENT BUNDLE AND COVECTOR FIELDS
  11. 5. TENSOR ALGEBRA AND TENSOR FIEDS
  12. 6. EXTERIOR DIFFERENTIAL FORMS
  13. 7. LIE DERIVATIVE, LIE GROUP, AND LIE ALGEBRA
  14. 8. INTEGRATION OF FORMS
  15. 9. RIEMANNIAN GEOMETRY
  16. EXERCISES
  17. CHAPTER 2. SYMPLECTIC GEOMETRY
  18. 1. PRELIMINARIES
  19. 2. SYMPLECTIC GEOMETRY
  20. CHAPTER 3. A MODERN EXPOSITION OF MECHANICS
  21. 1. LAGRANGIAN MECHANICS
  22. 2. HAMILTONIAN MECHANICS
  23. 3. COMPARISON OF THE LAGRANGIAN AND HAMILTONIAN FORMULATIONS
  24. 4. HAMILTONā€“JACOBI MECHANICS
  25. 5. INTRODUCTION TO PERTURBATIONS
  26. EXERCISES
  27. CHAPTER 4. THE N-BODY PROBLEM; AN ORIGINAL METHOD FOR LARGE Ī
  28. 1. N-BODY PROBLEM, EQUATIONS AND INTEGRALS
  29. 2. THE N-BODY PROBLEM IN STATISTICAL MECHANICS
  30. BIBLIOGRAPHY
  31. GLOSSARY OF SYMBOLS
  32. INDEX