Mathematical physics: applied mathematics for scientists and engineers/
Kusse, Bruce R.
Mathematical physics: applied mathematics for scientists and engineers/ Bruce R. Kusse and Erik A. Westwig - 2nd ed. - Weinheim: Wiley, 2008. - xi, 678 p. : ill. ; 24 cm. - (Physics textbook) .
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. 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.
9783527406722
Mathematical physics
530.15 / KUS/M
Mathematical physics: applied mathematics for scientists and engineers/ Bruce R. Kusse and Erik A. Westwig - 2nd ed. - Weinheim: Wiley, 2008. - xi, 678 p. : ill. ; 24 cm. - (Physics textbook) .
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. 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.
9783527406722
Mathematical physics
530.15 / KUS/M