This text is intended for the undergraduate level, providing a one-semester bridge between some of the introductory math courses and the physics courses in which we expect to use the mathematics. This is the course typically called Mathematical Methods in Physics. The text itself has been expanded so that it now contains far more than a one semester course. Contents: Basic Stuff; Partial Differential Equations; Infinite Series; Numerical Analysis; Complex Algebra; Tensors; Ordinary Differential Equations; Vector Calculus II; Fourier Series; Complex Variables; Vector Spaces Fourier Analysis; Operators and Matrices ; Calculus of Variations; Multivariable Calculus; Densities, Distributions; Vector Calculus. |