Inspired by How should a physics student study mathematics? and in the same vein as Best books for mathematical background?, although in a more general fashion, I'd like to know if anyone is interested in doing a list of the books 'par excellence' for a physicist.

In spite of the frivolous nature of this post, I think it can be a valuable resource.

For example:

Course of Theoretical Physics - **L.D. Landau, E.M. Lifshitz.**

Mathematical Methods of Physics - **Mathews, Walker**. Very nice chapter on complex variables and evaluation of integrals, presenting must-know tricks to solve non-trivial problems. Also contains an introduction to groups and group representations with physical applications.

Mathematics of Classical and Quantum Physics - **Byron and Fuller.**

Topics in Algebra - **I. N. Herstein**. Extremely well written, introduce basic concepts in groups, rings, vector spaces, fields and linear transformations. Concepts are motivated and a nice set of problems accompany each chapter (some of them quite challenging).

Partial Differential Equations in Physics - **Arnold Sommerfeld**. Although a bit dated, very clear explanations. First chapter on Fourier Series is enlightening. The ratio interesting information/page is extremely large. Contains discussions on types of differential equations, integral equations, boundary value problems, special functions and eigenfunctions.

This post imported from StackExchange Physics at 2014-05-04 15:35 (UCT), posted by SE-user Robert Smith