Guided Tour of Mathematical Methods for the Physical Sciences / Edition 3 available in Paperback
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
|Publisher:||Cambridge University Press|
|Edition description:||New Edition|
|Product dimensions:||6.00(w) x 1.25(h) x 9.00(d)|
About the Author
Kasper van Wijk is an Associate Professor in the Physics Department and Director of the Physical Acoustics Laboratory at the University of Auckland. He studied geophysics at the University of Utrecht from 1991 to 1996, where he specialized in inverse theory. After teaching outdoor education in the mountains of Colorado, Van Wijk obtained his PhD in geophysics from the Colorado School of Mines and taught at Boise State University. His research interests center around elastic-wave propagation in disordered media, with applications ranging from medical imaging to global seismology. Van Wijk has (co-)organized and taught geophysical field camps in Colorado, Oregon, and Thailand. His worldwide outreach efforts, as part of Seismometers in Schools, have exposed diverse audiences to the dynamic processes of our Earth.
Table of Contents1. Introduction; 2. Dimensional analysis; 3. Power series; 4. Spherical and cylindrical coordinates; 5. Gradient; 6. Divergence of a vector field; 7. Curl of a vector field; 8. Theorem of Gauss; 9. Theorem of Stokes; 10. The Laplacian; 11. Scale analysis; 12. Linear algebra; 13. Dirac delta function; 14. Fourier analysis; 15. Analytic functions; 16. Complex integration; 17. Green's functions: principles; 18. Green's functions: examples; 19. Normal modes; 20. Potential-field theory; 21. Probability and statistics; 22. Inverse problems; 23. Perturbation theory; 24. Asymptotic evaluation of integrals; 25. Conservation laws; 26. Cartesian tensors; 27. Variational calculus; 28. Epilogue on power and knowledge.