Geared toward upper-level undergraduates and graduate students in applied mathematics, this text develops the subject in a systematic and logical manner from a minimal set of axioms. Special physical problems, with suggestions for solutions, appear in the numerous sets of exercises. 1967 edition. Unabridged republication of the edition published by Methuen & Co., Ltd., London, 1967.
Here's a sample of other books in this Dover category
Primer of Quantum Mechanics by Marvin Chester Introductory text examines classical quantum bead on a track: state and representations; operator eigenvalues; harmonic oscillator and bound bead in a symmetric force field; bead in spherical shell. 1992 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.
Mathematics of Classical and Quantum Physics by Frederick W. Byron, Jr., Robert W. Fuller Graduate-level text offers unified treatment of mathematics applicable to many branches of physics. Theory of vector spaces, analytic function theory, theory of integral equations, group theory, more. Many problems. Bibliography.
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.
Quantum Mechanics in Hilbert Space: Second Edition by Eduard Prugovecki A rigorous, critical presentation of the mathematics of nonrelativistic quantum mechanics, this text is suitable for advanced undergraduate and graduate courses in functional analysis. Exercises, hints, solutions. 1981 edition.