Short description A comprehensive survey of all the mathematical methods that should be available to graduates in physics. Aside from the usual topics of analysis, such as infinite series, functions of a complex variable and some differential equations, this book includes a more extensive discussion of group theory than may be found in other current textbooks. The main feature of this textbook is its extensive treatment of geometrical methods as applied to physics.
From the contents 1. Infinite Sequences and Series 2. Finite-Dimensional Vector Spaces 3. Geometry in Physics 4. Functions of a Complex Variable 5. Differential Equations 6. Hilbert Spaces 7. Linear Operators on Hilbert Space 8. Partial Differential Equations 9. Discrete Groups 10. Lie Groups and Lie Algebras