Index

The mathematical methods that physical scientists need for solving substantial problems in their fields of study are set out clearly and simply in this tutorial-style textbook. Students will develop problem-solving skills through hundreds of worked examples, self-test questions and homework problems. Each chapter concludes with a summary of the main procedures and results and all assumed prior knowledge is summarized in one of the appendices. Over 300 worked examples show how to use the techniques and around 100 self-test questions in the footnotes act as checkpoints to build student confidence. Nearly 400 end-of-chapter problems combine ideas from the chapter to reinforce the concepts.

1. Matrices and vector spaces 2. Vector calculus 3. Line, surface and volume integrals 4. Fourier series 5. Integral transforms 6. Higher-order ordinary differential equations 7. Series solutions of ordinary differential equations 8. Eigenfunction methods 9. Special functions 10. Partial differential equations 11. Solution methods for PDEs 12. Calculus of variations 13. Integral equations 14. Complex variables 15. Applications of complex variables 16. Probability 17. Statistics