Updates the original, comprehensive introduction to the areas of mathematical physics encountered in advanced courses in the physical sciences. Intuition and computational abilities are stressed. Original material on DE and multiple integrals has been expanded.
Infinite Series, Power Series.
Complex Numbers.
Linear Equations: Vectors, Matrices, and Determinants.
Partial Differentiation.
Multiple Integrals: Applications of Integration.
Vector Analysis.
Fourier Series.
Ordinary Differential Equations.
Calculus of Variations.
Coordinate Transformations: Tensor Analysis.
Gamma, Beta, and Error Functions.
Series Solutions of Differential Equations.
Partial Differential Equations.
Functions of a Complex Variable.
Integral Transforms.
Probability.
Answers to Selected Problems.
Index.
