Mathematical Physics

TRAMA

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,

NOTE EDITORE

This topical new book discusses in detail the mathematical skills needed throughout common graduate level courses in physics. It integrates the mathematics with the associated physical content, providing a new standard in mathematical physics textbooks and features approximately 450 end-of-chapter problems, with free solutions available to lecturers from the Wiley-VCH website.

SOMMARIO

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

ALTRE INFORMAZIONI

• Condizione: Nuovo
• ISBN: 9783527408085
• Dimensioni: 240 x 23.4 x 170 mm Ø 898 gr
• Formato: Brossura
• Illustration Notes: 100 schwarz-weiße Abbildungen
• Pagine Arabe: 466