Short description Presenting mathematical topics with their applications to physics as well as basic physics topics linked to mathematical techniques, this book covers the mathematical skills needed throughout common graduate level courses in physics and features around 450 end-of-chapter problems
From the contents 1. Vectors 2. Tensors and Matrices 3. Hamiltonian Mechanics 4. Coupled Oscillators and Normal Modes 5. Stretched String 6. Vector Calculus and the del Operator 7. Electromagnetic Waves 8. Fluid Dynamics 9. Irreversible Processes 10. The Entropy 11. Thermodynamic Inequalities 12. Probability, Statistics and Density 13. Liouville Equation 14. Generalized Vectors and Linear Operators 15. Quantum Mechanics 16. Fourier Series and Transforms 17. Angular Momentum 18. Spin Angular Momentum 19. Time-dependent Perturbation Theory 20. Laplace Transformation 21. Quantum Harmonic Oscillator 22. Permutation Group 23. Quantum Statistics 24. The Free-Electron Model 25. Bose-Einstein Condensation 26. Magnetic Susceptibility 27. Theory of Variations 28. Second Quantization 29. Quantum Statistics of Composites 30. Superconductivity 31. Complex Numbers 32. Analyticity and Cauchy-Riemann Equations 33. Cauchy's Fundamental Theorem 34. Laurent Series 35. Multivalued Functions 36. Residue Theorem and its Applications Appendices A. Representation-Independence of Poisson Brackets B. Proof of the Convolution Theorem C. Statistical Weight of the Landau States D. Useful Formulas
