Mathematical Physics

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.

Mehr als "nur" Mathematik bringen Ihnen die Autoren dieses Bandes nahe: Sie lassen die trockenen Formeln durch Verknüpfung mit der physikalischen Realität lebendig werden und führen Ihnen umgekehrt verschiedene physikalische Anwendungen mathematischer Verfahren vor. Vorrangig für Doktoranden gedacht, diskutiert der Band die ausgewählten Themen in voller Länge, ohne einzelne Schritte wegzulassen. Mit rund 450 Übungsaufgaben an den Kapitelenden,

Autorentext
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 Autónoma de México. 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.

Inhalt

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