A Guided Tour of Mathematical Methods: For the Physical Sciences / Edition 2

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In 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

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Editorial Reviews

From the Publisher
"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
From The Critics
Snieder's (geophysics, Colorado School of Mines) textbook is designed for students in physics or geophysics. All the material is presented in the form of problems, to demonstrate for students the application of mathematical techniques and knowledge to physical problems. Coverage includes vector calculus, linear algebra, Fourier analysis, scale analysis, Green's functions, normal modes, tensor calculus, and perturbation theory. Suitable for undergraduates or lower-level graduate students, as either a standalone text or as a source of problems and examples to supplement other textbooks. The text requires a certain basic knowledge of calculus and linear algebra. Annotation c. Book News, Inc., Portland, OR (booknews.com)
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Product Details

  • ISBN-13: 9780521542616
  • Publisher: Cambridge University Press
  • Publication date: 4/9/2009
  • Edition description: REV
  • Edition number: 2
  • Pages: 524
  • Product dimensions: 6.60 (w) x 9.60 (h) x 1.30 (d)

Meet the Author

Roel Snieder currently holds the Keck Foundation Endowed Chair of Basic Exploration Science at the Colorado School of Mines (USA).

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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 Δ 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.

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