 Mathematical Physics: Applied Mathematics for Scientists and Engineers, 2nd Edition
ISBN: 978-3-527-40672-2
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689 pages
April 2006
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2. Differential and Integral Operations on Vector and Scalar Fields.
3. Curvilinear Coordinate Systems.
4. Introduction to Tensors.
5. The Dirac Delta-Function.
6. Introduction to Complex Variables.
7. Fourier Series.
8. Fourier Transforms.
9. Laplace Transforms.
10. Differential Equations.
11. Solutions to Laplace's Equation.
12. Integral Equations.
13. Advanced Topics in Complex Analysis.
14. Tensors in Non-Orthogonal Coordinate Systems.
15. Introduction to Group Theory.
Appendix A. The Levi-Civita Identitiy.
Appendix B. The Curvilinear Curl.
Appendix C. The Double Integral Identity.
Appendix D. Green's Function Solutions.
Appendix E. Pseudovectors and the Mirror Test.
Appendix F. Christoffel Symbols and Covariant Derivatives.
Appendix G: Calculus of Variation.
Errata List.
Bibliography.
Index.
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