Mathematical Physics

Shigeji Fujita was awarded his Ph.D. degree in physics from the University of Maryland at College Park in 1960. He subsequently worked as a research assistant and assistant professor at various Japanese and American universities and held visiting appointments at universities around the world. In 1968, he was appointed to a professorship at the Department of Physics of the State University of New York at Buffalo, which is where he still teaches. Professor Fujita conducts research in several areas, among others in equilibrium and non-equilibrium statistical mechanics, the Kinetic Theory of plasmas, gases, liquids and solids, and the Quantum Hall Effect. He has published over 200 articles and eleven books.Salvador Godoy received his B.S. in physics from the National University of Mexico in 1967 and his Ph.D. from the State University of New York at Buffalo in 1973. In 1982 he was offered a full professorship at the Department of Physics, Facultad de Ciencias, at the Universidad Nacional Autonoma de Mexico. Professor Godoy's research interests lie in non-equilibrium statistical mechanics, mathematical physics, Laser theory and stochastic processes (among others). He has published about 60 papers and three books.

• 1. Vectors2. Tensors and Matrices3. Hamiltonian Mechanics4. Coupled Oscillators and Normal Modes5. Stretched String6. Vector Calculus and the del Operator 7. Electromagnetic Waves8. Fluid Dynamics9. Irreversible Processes10. The Entropy11. Thermodynamic Inequalities12. Probability, Statistics and Density13. Liouville Equation14. Generalized Vectors and Linear Operators15. Quantum Mechanics16. Fourier Series and Transforms17. Angular Momentum18. Spin Angular Momentum19. Time-dependent Perturbation Theory20. Laplace Transformation21. Quantum Harmonic Oscillator22. Permutation Group23. Quantum Statistics24. The Free-Electron Model25. Bose-Einstein Condensation26. Magnetic Susceptibility27. Theory of Variations28. Second Quantization29. Quantum Statistics of Composites30. Superconductivity31. Complex Numbers32. Analyticity and Cauchy-Riemann Equations33. Cauchy's Fundamental Theorem34. Laurent Series35. Multivalued Functions36. Residue Theorem and its ApplicationsAppendices A. Representation-Independence of Poisson BracketsB. Proof of the Convolution TheoremC. Statistical Weight of the Landau StatesD. Useful Formulas