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

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

by Roel Snieder
Pub. Date:
Cambridge University Press
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A Guided Tour of Mathematical Methods: For the Physical Sciences / Edition 2

How does lightning start? How does one calculate the potential lift of a wing? Snieder (exploration science, Colorado School of Mines) takes a unique approach to teaching mathematical methods in the physical sciences by presenting his text through problems that integrate concepts and methods with applications. Through this means he examines vector calculus, linear algebra, Fourier analysis, scale analysis, complex integration, Green's functions, normal modes, tensor calculus, variable calculus, and perturbation theory. In this new edition Snieder adds material on dimensional analysis, variational calculus, and the asymptotic evaluation of integrals. He has also added hints to help students through the more difficult problems. Annotation ©2004 Book News, Inc., Portland, OR

Product Details

ISBN-13: 9780521542616
Publisher: Cambridge University Press
Publication date: 04/09/2009
Edition description: REV
Pages: 524
Product dimensions: 6.60(w) x 9.60(h) x 1.30(d)

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.

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