Mathematics for physics : a guided tour for graduate students
Author(s)
Bibliographic Information
Mathematics for physics : a guided tour for graduate students
Cambridge University Press, 2009
- : hbk
Available at / 22 libraries
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Library, Research Institute for Mathematical Sciences, Kyoto University数研
: hbkSTO||48||1200010707927
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The Institute for Solid State Physics Library. The University of Tokyo.図書室
: hbk.421.4:M297210298779
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Hokkaido University, Library, Graduate School of Science, Faculty of Science and School of Science図書
: hbk530.15/ST722080240194
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Note
Includes bibliographical references (p. 797-798) and index
Description and Table of Contents
Description
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.
Table of Contents
- Preface
- 1. Calculus of variations
- 2. Function spaces
- 3. Linear ordinary differential equations
- 4. Linear differential operators
- 5. Green functions
- 6. Partial differential equations
- 7. The mathematics of real waves
- 8. Special functions
- 9. Integral equations
- 10. Vectors and tensors
- 11. Differential calculus on manifolds
- 12. Integration on manifolds
- 13. An introduction to differential topology
- 14. Group and group representations
- 15. Lie groups
- 16. The geometry of fibre bundles
- 17. Complex analysis I
- 18. Applications of complex variables
- 19. Special functions and complex variables
- Appendixes
- Reference
- Index.
by "Nielsen BookData"
