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A guided tour of mathematical methods for the physical sciences

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Mathematical methods are essential tools for all physical scientists. This book provides a comprehensive tour of the mathematical knowledge and techniques that are needed by students across the physical sciences. In contrast to more traditional textbooks, all the material is presented in the form of exercises. Within these exercises, basic mathematical theory and its applications in the physical sciences are well  Read more...

Author(s): Snieder, Roel; Van Wijk, Kasper
Edition: 3rd
Publisher: Cambridge University Press
Year: 2015

Language: English
Pages: 0
City: New York
Tags: Mathematics, Mathematical Physics, Science

1. 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.