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020 _a0691131023
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040 _cPUL
082 0 0 _a530.15
_222
_bA6465
100 1 _aAppel, Walter.
245 1 0 _aMathematics for physics and physicists /
_cWalter Appel ; translated by Emmanuel Kowalski.
260 _aPrinceton, N.J. :
_bPrinceton University Press,
_c2007
300 _axxiv, 642 p.
_bill., ports. ;
_c26 cm.
500 _aIncludes bibliographical references (p. [617]-626) and index. In English translated from the French.
546 _aIn English translated from the French.
650 0 _aMathematical physics.
650 0 _aMathematical physics
700 1 _aKowalski, Emmanuel,
942 _cBK
505 0 _a1. A book's apology xviii 2. Index of notation xxii 3. Chapter 1: Reminders: convergence of sequences and series 1 4. Chapter 2: Measure theory and the Lebesgue integral 51 5. Chapter 3: Integral calculus 73 6. Chapter 4: Complex Analysis I 87 7. Chapter 5: Complex Analysis II 135 8. Chapter 6: Conformal maps 155 9. Chapter 7: Distributions I 179 10. Chapter 8: Distributions II 223 11. Chapter 9: Hilbert spaces; Fourier series 249 12. Chapter 10: Fourier transform of functions 277 13. Chapter 11: Fourier transform of distributions 299 14. Chapter 12: The Laplace transform 331 15. Chapter 13: Physical applications of the Fourier transform 355 16. Chapter 14: Bras, kets, and all that sort of thing 377 17. Chapter 15: Green functions 407 18. Chapter 16: Tensors 433 19. Chapter 17: Differential forms 463 20. Chapter 18: Groups and group representations 489 21. Chapter 19: Introduction to probability theory 509 22. Chapter 20: Random variables 521 23. Chapter 21: Convergence of random variables: central limit theorem 553 24. Appendices 25. A: Reminders concerning topology and normed vector spaces 573 26. B: Elementary reminders of differential calculus 585 27. C: Matrices 593 28. D: A few proofs 597 29. Tables 30. Fourier transforms 609 31. Laplace transforms 613 32. Probability laws 616 33. Further reading 617 34. References 621 35. Portraits 627 36. Sidebars 629 37. Index 631