Physical MathematicsUnique in its clarity, examples and range, Physical Mathematics explains as simply as possible the mathematics that graduate students and professional physicists need in their courses and research. The author illustrates the mathematics with numerous physical examples drawn from contemporary research. In addition to basic subjects such as linear algebra, Fourier analysis, complex variables, differential equations and Bessel functions, this textbook covers topics such as the singular-value decomposition, Lie algebras, the tensors and forms of general relativity, the central limit theorem and Kolmogorov test of statistics, the Monte Carlo methods of experimental and theoretical physics, the renormalization group of condensed-matter physics and the functional derivatives and Feynman path integrals of quantum field theory. |
What people are saying - Write a review
We haven't found any reviews in the usual places.
Contents
Fourier series | 75 |
Fourier and Laplace transforms | 108 |
Infinite series | 136 |
Complexvariable theory | 160 |
9 | 175 |
Differential equations | 223 |
Integral equations | 296 |
Legendre functions | 305 |
20 | 403 |
Forms | 479 |
Probability and statistics | 502 |
Monte Carlo methods | 563 |
Functional derivatives | 578 |
Path integrals | 586 |
Chaos and fractals | 635 |
Strings | 643 |
Other editions - View all
Common terms and phrases
4-vector adjoint algebra analytic antisymmetric basis vectors Bessel functions boundary conditions coefficients commutation relations complex number constant contour integral converges coordinates covariant defined definition delta function density derivative differential equation differential operator dimensions Dirac eigenfunctions eigenstates eigenvalue eigenvectors elements energy Example exponential exterior derivative factor find finite first first-order flat Fourier series Fourier transform Friedmann equation function f gauge gaussian ghost contour Green’s function group G half-plane hermitian homogeneous identity infinite inhomogeneous inner product integral formula interval invariant inverse Legendre linear combination linearly independent Lorentz group Lorentz transformation maps matrix metric tensor momentum multiplied notation orthogonal orthonormal particle Pn(x polynomials potential probability distribution quantum representation rotation satisfies satisfy show exercise singular solution spherical square symmetric tensor theorem tiny unitary unitary matrix vanishes variables vector space zero
Bibliographic information
| Title | Physical Mathematics |
| Author | Kevin Cahill |
| Publisher | Cambridge University Press, 2013 |
| ISBN | 1107310733, 9781107310735 |
| Subjects | › › Mathematics / Applied Science / General Science / Physics / General Science / Physics / Mathematical & Computational |
| Export Citation | BiBTeX EndNote RefMan |