Mathematics for Physics
eBook - PDF

Mathematics for Physics

A Guided Tour for Graduate Students

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

Mathematics for Physics

A Guided Tour for Graduate Students

About this book

An engagingly-written account of mathematical tools and ideas, this book provides a graduate-level introduction to the mathematics used in research in physics. The first half of the book focuses on the traditional mathematical methods of physics – differential and integral equations, Fourier series and the calculus of variations. The second half contains an introduction to more advanced subjects, including differential geometry, topology and complex variables. The authors' exposition avoids excess rigor whilst explaining subtle but important points often glossed over in more elementary texts. The topics are illustrated at every stage by carefully chosen examples, exercises and problems drawn from realistic physics settings. These make it useful both as a textbook in advanced courses and for self-study. Password-protected solutions to the exercises are available to instructors at www.cambridge.org/9780521854030.

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Yes, you can access Mathematics for Physics by Michael Stone,Paul Goldbart in PDF and/or ePUB format, as well as other popular books in Physical Sciences & Mathematical & Computational Physics. We have over one million books available in our catalogue for you to explore.

Table of contents

  1. Cover
  2. Half-title
  3. Title
  4. Copyright
  5. Dedication
  6. Contents
  7. Preface
  8. Acknowledgments
  9. 1 Calculus of variations
  10. 2 Function spaces
  11. 3 Linear ordinary differential equations
  12. 4 Linear differential operators
  13. 5 Green functions
  14. 6 Partial differential equations
  15. 7 The mathematics of real waves
  16. 8 Special functions
  17. 9 Integral equations
  18. 10 Vectors and tensors
  19. 11 Differential calculus on manifolds
  20. 12 Integration on manifolds
  21. 13 An introduction to differential topology
  22. 14 Groups and group representations⤀
  23. 15 Lie groups
  24. 16 The geometry of fibre bundles
  25. 17 Complex analysis
  26. 18 Applications of complex variables
  27. 19 Special functions and complex variables
  28. Appendix A Linear algebra review
  29. Appendix B Fourier series and integrals
  30. References
  31. Index