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.
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.
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