Mathematical Physics: Applied Mathematics for Scientists and Engineers (2版)

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Mathematical Physics: Applied Mathematics for Scientists and Engineers 2/e +作者：Kusse +年份：2006 年2 版 +ISBN：9783527406722 +書號：PH0155P +規格：平裝/單色 +頁數：696 +出版商：John Wiley ●Covers applications in all areas of engineering and physical sciences. ●Features numerous figures and worked-out examples throughout the text. ●Presents mathematically advanced material in a readable form with few formal proofs. ●Organizes topics pedagogically in the order they will be most easily understood. ●Provides end-of-chapter exercises and offers free solutions manual for lecturers (available from the publisher). ●New to this second edition is an appendix on the calculus of variations - a valuable addition to the excellent choice of topics. 目錄 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 G. Calculus of Variations Errata List