Designed for students familiar with abstract mathematics but not physics, this graduate-level text was written by a member of the National Academy of Science. It 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. Unabridged republication of the edition published by W. A. Benjamin, Inc., New York, 1963.
Here's a sample of other books in this Dover category
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.
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.
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.
Linear Operators for Quantum Mechanics by Thomas F. Jordan Suitable for advanced undergraduates and graduate students, this compact treatment examines linear space, functionals, and operators; diagonalizing operators; operator algebras; and equations of motion. 1969 edition.
Quantum Field Theory by Jean-Bernard Zuber, Claude Itzykson This comprehensive text begins with the standard quantization of electrodynamics and perturbative renormalization, advancing to functional methods, relativistic bound states, broken symmetries, nonabelian gauge fields, and asymptotic behavior. 1980 edition.
The Mathematical Principles of Quantum Mechanics by Derek F. Lawden Focusing on the principles of quantum mechanics, this text for upper-level undergraduates and graduate students introduces and resolves special physical problems with more than 100 exercises. 1967 edition.