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Appel

Mathematics for Physics and Physicists

Medium: Buch
ISBN: 978-0-691-13102-3
Verlag: Princeton University Press
Erscheinungstermin: 04.03.2007
Lieferfrist: bis zu 10 Tage

What can a physicist gain by studying mathematics? By gathering together everything a physicist needs to know about mathematics in one comprehensive and accessible guide, this is the question Mathematics for Physics and Physicists successfully takes on.The author, Walter Appel, is a renowned mathematics educator hailing from one of the best schools of France's prestigious Grandes Écoles, where he has taught some of his country's leading scientists and engineers. In this unique book, oriented specifically toward physicists, Appel shows graduate students and researchers the vital benefits of integrating mathematics into their study and experience of the physical world. His approach is mathematically rigorous yet refreshingly straightforward, teaching all the math a physicist needs to know above the undergraduate level. Appel details numerous topics from the frontiers of modern physics and mathematics--such as convergence, Green functions, complex analysis, Fourier series and Fourier transform, tensors, and probability theory--consistently partnering clear explanations with cogent examples. For every mathematical concept presented, the relevant physical application is discussed, and exercises are provided to help readers quickly familiarize themselves with a wide array of mathematical tools.Mathematics for Physics and Physicists is the resource today's physicists must have to strengthen their math skills and to gain otherwise unattainable insights into their fields of study


Produkteigenschaften


  • Artikelnummer: 9780691131023
  • Medium: Buch
  • ISBN: 978-0-691-13102-3
  • Verlag: Princeton University Press
  • Erscheinungstermin: 04.03.2007
  • Sprache(n): Englisch
  • Auflage: Erscheinungsjahr 2007
  • Produktform: Gebunden, HC gerader Rücken kaschiert
  • Gewicht: 1431 g
  • Seiten: 672
  • Format (B x H x T): 183 x 260 x 40 mm
  • Ausgabetyp: Kein, Unbekannt
Autoren/Hrsg.

Autoren

A book's apology xviii

Index of notation xxii

Chapter 1: Reminders: convergence of sequences and series 1

Chapter 2: Measure theory and the Lebesgue integral 51

Chapter 3: Integral calculus 73

Chapter 4: Complex Analysis I 87

Chapter 5: Complex Analysis II 135

Chapter 6: Conformal maps 155

Chapter 7: Distributions I 179

Chapter 8: Distributions II 223

Chapter 9: Hilbert spaces; Fourier series 249

Chapter 10: Fourier transform of functions 277

Chapter 11: Fourier transform of distributions 299

Chapter 12: The Laplace transform 331

Chapter 13: Physical applications of the Fourier transform 355

Chapter 14: Bras, kets, and all that sort of thing 377

Chapter 15: Green functions 407

Chapter 16: Tensors 433

Chapter 17: Differential forms 463

Chapter 18: Groups and group representations 489

Chapter 19: Introduction to probability theory 509

Chapter 20: Random variables 521

Chapter 21: Convergence of random variables: central limit theorem 553

Appendices

A: Reminders concerning topology and normed vector spaces 573

B: Elementary reminders of differential calculus 585

C: Matrices 593

D: A few proofs 597

Tables

Fourier transforms 609

Laplace transforms 613

Probability laws 616

Further reading 617

References 621

Portraits 627

Sidebars 629

Index 631