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Mathematical Methods for Physicists and Engineers
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Introduction 1. Elementary vector calculus; the vector field 2. Matrix algebra and transformations in linear vector spaces; dyadics 3. Introduction to boundary value problems and the special functions of mathematical physics 4. Useful properties of some special functions of mathematical physics 5. Solution of linear homogeneous boundary value problems; separation of variables methods and eigenfunction concepts 6. Elementary applications of the Laplace transform 7. Two-dimensional potential problems and conformal mapping; functions of a complex variable 8. The calculus of residues 9. Integral transforms; the solution of inhomogeneous partial differential equations 10. Inhomogeneous boundary conditions; Green's functions 11. Introduction to integral equations 12. Variation and perturbation methods; introduction to nonlinear differential equations 13. Elements of probability theory 14. Miscellaneous topics: evaluation of integrals, summation of series, curve fitting, transcendental equations Appendices; Index
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