Appendix F DIFFERENTIATION ON MANIFOLDS

Chapters in this book

1. Frontmatter i
2. CONTENTS vii
3. PREFACE xix
4. HOW TO USE THIS BOOK xxiii
5. Part I CONTINUUM MECHANICS
6. Chapter 1 KINEMATICS 3
7. Chapter 2 DYNAMICS 65
8. Chapter 3 DEFECTS 133
9. Part II SEISMOLOGY
10. Chapter 4 LINEARIZED EQUATIONS OF MOTION 185
11. Chapter 5 ANELASTICITY AND ATTENUATION 243
12. SEISMOLOGY GLOSSARY 257
13. Part III FORWARD PROBLEMS
14. Chapter 6 STRONG METHODS 261
15. Chapter 7 WEAK METHODS 279
16. Part IV INVERSE PROBLEMS
17. Chapter 8 ADJOINT-STATE METHOD 343
18. Chapter 9 OPTIMIZATION 385
19. INTRODUCTION TO THE APPENDICES
20. Appendix A LINEAR SPACES AND TRANSFORMATIONS 415
21. Appendix B DIFFERENTIABLE MANIFOLDS 421
22. Appendix C VECTORS AND ONE-FORMS 427
23. Appendix D TENSORS 441
24. Appendix E MAPS BETWEEN MANIFOLDS 465
25. Appendix F DIFFERENTIATION ON MANIFOLDS 471
26. Appendix G DIFFERENTIAL FORMS 495
27. APPENDIX GLOSSARY 529
28. BIBLIOGRAPHY 531
29. AUTHOR INDEX 551
30. INDEX 559