This text is designed for an intermediate-level, two-semester undergraduate course in mathematical physics.
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This text is designed for an intermediate-level, two-semester undergraduate course in mathematical physics. It includes details of all important tools required in physics, and contains a large number of worked examples to illustrate the mathematical techniques developed and to show their relevance to physics.
Preface; 1. Vector and tensor analysis; 2. Ordinary differential equations; 3. Matrix algebra; 4. Fourier series and integrals; 5. Linear vector spaces; 6. Functions of a complex variable; 7. Special functions of mathematical physics; 8. The calculus of variations; 9. The Laplace transformation; 10. Partial differential equations; 11. Simple linear integral equations; 12. Elements of group theory; 13. Numerical methods; 14. Introduction to probability theory; Appendices; Further reading; Index.
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