Kevin Cahill

Physical Mathematics (eBook, PDF)

• Format: PDF

Produktbeschreibung

Unique in its clarity, examples, and range, Physical Mathematics explains simply and succinctly the mathematics that graduate students and professional physicists need to succeed in their courses and research. The book illustrates the mathematics with numerous physical examples drawn from contemporary research. This second edition has new chapters on vector calculus, special relativity and artificial intelligence and many new sections and examples. In addition to basic subjects such as linear algebra, Fourier analysis, complex variables, differential equations, Bessel functions, and spherical harmonics, the book explains topics such as the singular value decomposition, Lie algebras and group theory, tensors and general relativity, the central limit theorem and Kolmogorov's theorems, Monte Carlo methods of experimental and theoretical physics, Feynman's path integrals, and the standard model of cosmology.

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Produktdetails

• Verlag: Cambridge University Press
• Erscheinungstermin: 15. August 2019
• Englisch
• ISBN-13: 9781108566186
• Artikelnr.: 66178449

Autorenporträt

Kevin Cahill is Professor of Physics and Astronomy at the University of New Mexico. He has carried out research at the National Institute of Standards and Technology, Saclay, Ecole Polytechnique, Orsay, Harvard University, National Institutes of Health, Lawrence Berkeley National Laboratory and the SLAC National Accelerator Laboratory, and has worked in quantum optics, quantum field theory, lattice gauge theory and biophysics. This book is based on courses taught by the author at the University of New Mexico and at Fudan University in Shanghai.

Inhaltsangabe

Preface
1. Linear algebra
2. Vector calculus
3. Fourier series
4. Fourier and Laplace transforms
5. Infinite series
6. Complex-variable theory
7. Differential equations
8. Integral equations
9. Legendre polynomials and spherical harmonics
10. Bessel functions
11. Group theory
12. Special relativity
13. Tensors and general relativity
14. Forms
15. Probability and statistics
16. Monte Carlo methods
17. Artificial intelligence
18. Order, chaos, and fractals
19. Functional derivatives
20. Path integrals
21. Renormalization group
22. Strings
References
Index.