A rigorous, critical presentation of the basic mathematics of nonrelativistic quantum mechanics, this text is suitable for courses in functional analysis at the advanced undergraduate and graduate levels. Its readable, self-contained form is accessible to students without an extensive mathematical background. Numerous exercises include hints and solutions. 1981 edition. Reprint of the Academic Press, New York, 1981 edition.
Here's a sample of other books in this Dover category
Quantum Mechanics in Simple Matrix Form by Thomas F. Jordan With this text, basic quantum mechanics becomes accessible to undergraduates with no background in mathematics beyond algebra. Includes more than 100 problems and 38 figures. 1986 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.
Lectures on Quantum Mechanics by Paul A. M. Dirac Four concise, brilliant lectures on mathematical methods in quantum mechanics from Nobel Prize-winning quantum pioneer build on idea of visualizing quantum theory through the use of classical mechanics.
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.
