A textbook for a two-semester graduate course in Mathematical Methods in Physics.
This volume is a textbook for a year-long graduate level course in All research universities have applied mathematics for scientists and engineers. such a course, which could be taught in different departments, such as mathematics, physics, or engineering. I volunteered to teach this course when I realized that my own research students did not learn much in this course at my university. Then I learned that the available textbooks were too introduc tory. While teaching this course without an assigned text, I wrote up my lecture notes and gave them to the students. This textbook is a result of that endeavor. When I took this course many, many, years ago, the primary references were the two volumes of P. M. Morse and H. Feshbach, Methods of Theoretical Physics (McGraw-Hill, 1953). The present text returns the contents to a similar level, although the syllabus is quite different than given in this venerable pair of books.
1. Determinants. 2. Matrices. 3. Group theory. 4. Complex Variables. 5. Series. 6. Conformal Mapping. 7. Markov Averaging 8. Fourier Transforms. 9. Equations of Physics. 10. One Dimension. 11. Two Dimensions. 12. Three Dimensions. 13. Odds and Ends.