A Guided Tour of Mathematical Methods
A Guided Tour of Mathematical Methods
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Replaced by:
9780521542616In contrast to traditional textbooks for students and professionals in the physical sciences, this book presents its material in the form of problems. The second edition contains new chapters on dimensional analysis, variational calculus, and the asymptotic evaluation of integrals. The book can be used by undergraduates and lower-level graduate students. It can serve as a stand-alone text, or as a source of problems and examples to complement other textbooks.
First Edition Hb (2001): 0-521-78241-4
First Edition Pb (2001): 0-521-78751-3
- All the material is presented in the form of problems
- Mathematical insights are gained by getting the reader to develop answers themselves
- Many applications of the mathematics are given
Reviews & endorsements
"The writing style is clear and concise...Snieder offers an interesting approach to the material, with 127 references." J.D. Fehribach, Worcester Polytechnic Institute, CHOICE
Product details
October 2004Hardback
9780521834926
522 pages
255 × 180 × 32 mm
1.217kg
132 b/w illus. 6 tables
Replaced by 9780521542616
Table of Contents
- 1. Introduction
- 2. Dimensional analysis
- 3. Power series
- 4. Spherical and cylindrical co-ordinates
- 5. The gradient
- 6. The divergence of a vector field
- 7. The curl of a vector field
- 8. The theorem of Gauss
- 9. The theorem of Stokes
- 10. The Laplacian
- 11. Conservation laws
- 12. Scale analysis
- 13. Linear algebra
- 14. The Dirac delta function
- 15. Fourier analysis
- 16. Analytic functions
- 17. Complex integration
- 18. Green's functions: principles
- 19. Green's functions: examples
- 20. Normal modes
- 21. Potential theory
- 22. Cartesian tensors
- 23. Perturbation theory
- 24. Asymptotic evaluation of integrals
- 25. Variational calculus
- 26. Epilogue, on power and knowledge
- References.
