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Mathematical Physics

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Bibliografische Daten
ISBN/EAN: 9783527408085
Sprache: Englisch
Umfang: XXII, 444 S., 120 s/w Illustr., 120 Illustr.
Auflage: 1. Auflage 2009
Einband: kartoniertes Buch

Beschreibung

Going beyond standard mathematical physics textbooks by integrating the mathematics with the associated physical content, this book presents mathematical topics with their applications to physics as well as basic physics topics linked to mathematical techniques. It is aimed at first-year graduate students, it is much more concise and discusses selected topics in full without omitting any steps. It covers the mathematical skills needed throughout common graduate level courses in physics and features around 450 end-of-chapter problems, with solutions available to lecturers from the Wiley website.

Autorenportrait

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