Graduate students receive a stimulating introduction to analytical approximation techniques for solving differential equations in this text, which introduces a series of interesting and scientifically significant problems, indicates useful solutions, and supplies a guide to further reading. Intermediate calculus and basic grasp of ordinary differential equations are prerequisites. 1966 edition.
Here's a sample of other books in this Dover category
A First Look at Perturbation Theory by James G. Simmonds, James E. Mann, Jr. This introductory text explains methods for obtaining approximate solutions to mathematical problems by exploiting the presence of small, dimensionless parameters. For engineering and physical science undergraduates.
Wave Mechanics (Vol. 5 of Pauli Lectures on Physics) by Wolfgang Pauli Focuses on wave functions of force-free particles, description of a particle in a box and in free space, particle in a field of force, multiple particles, eigenvalue problems, more.
Introduction to Quantum Mechanics with Applications to Chemistry by Linus Pauling, E. Bright Wilson, Jr. Classic undergraduate text explores wave functions for the hydrogen atom, perturbation theory, the Pauli exclusion principle, and the structure of simple and complex molecules. Numerous tables and figures.
