Quantum Physics, Complexity Theory, & Combinatorics
An excellent introduction to abstract algebra by Charles Pinter.
A classic text in mathematical analysis by Walter Rudin.
Course by Francis Su closely following Walter Rudin's Principles of Mathematical Analysis.
Book by Tristan Needham covering complex analysis from a geometrical perspective.
A nice introduction to generator functions by Herbert Wilf.
The definitive book on the probabilistic method by Noga Alon and Joel Spencer.
A great introduction to quantum information and quantum computation by John Watrous.
Lectures by Frederic Schuller covering quantum theory from a mathematical perspective.
Lectures by Frederic Schuller covering a wide-range of mathematics for theoretical physics. Topics include logic, set theory, topology, manifolds, tensors, grassmann algebra, cohomology, lie groups, lie algebra, fibre bundles, curvature and torsion.
A classic book on writing style by William Strunk Jr. and E. B. White.