This concise text for advanced undergraduates and graduate students covers eigenvalue problems in classical physics, orthogonal functions and expansions, the Sturm-Liouville theory and linear operators on functions, and linear vector spaces. It emphasizes the unity of a variety of techniques and is enduringly relevant to many physical systems. 1962 edition. Reprint of the W. A. Benjamin, New York, 1962 edition.
Here's a sample of other books in this Dover category
Operator Methods in Quantum Mechanics by Martin Schechter This text introduces techniques related to physical theory. Entire book is devoted to a particle moving in a straight line; students develop techniques by answering questions about the particle. 1981 edition.
Mathematical Foundations of Quantum Mechanics by George W. Mackey This graduate-level text introduces fundamentals of classical mechanics; surveys basics of quantum mechanics; and concludes with a look at group theory and quantum mechanics of the atom. 1963 edition.
Problems and Solutions in Quantum Chemistry and Physics by Charles S. Johnson, Jr., Lee G. Pedersen Unusually varied problems, with detailed solutions, cover of quantum mechanics, wave mechanics, angular momentum, molecular spectroscopy, scattering theory, more. 280 problems, plus 139 supplementary exercises.
Applications of Group Theory in Quantum Mechanics by M. I. Petrashen, J. L. Trifonov This advanced text explores the theory of groups and their matrix representations. The main focus rests upon point and space groups, with applications to electronic and vibrational states. 1969 edition.
Quantum Mechanics of One- and Two-Electron Atoms by Hans A. Bethe, Edwin E. Salpeter This classic of modern physics includes a vast array of approximation methods, mathematical tricks, and physical pictures useful in the application of quantum mechanics to other fields. 1977 edition.
