Kusse, Bruce R. / Westwig, Erik A. Mathematical Physics Applied Mathematics for Scientists and Engineers
2., complemented Edition - January 2006 87.90 Euro 2006. XI, 678 Pages, Softcover - Textbook - ISBN-10: 3-527-40672-7 ISBN-13: 978-3-527-40672-2 - Wiley-VCH, Berlin
Short description A comprehensive treatment on the mathematical methods used in physics and engineering. One of its distinguishing features is its focus on using tools commonly used by scientists and engineers to solve real-world problems rather than presenting mathematics for its own sake.
From the contents 1. A Review of Vector and Matrix Algebra Using Subscript/Summation Conventions 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 A. The Levi-Civita Identitiy B. The Curvilinear Curl C. The Double Integral Identity D. Green's Function Solutions E. Pseudovectors and the Mirror Test F. Christoffel Symbols and Covariant Derivatives NEW APPENDIX: The Calculus of Variation
