This book came to my attention because it starts with category theory in the first chapters and then moves to traditional contemporary mathematical physics topics such as topology and operators. It also covers groups, vector spaces, their duals, tensors, associative and Lie algebras, representation theory, spectral theorem, distributions, homotopy and homology. The author also provides physical examples along the way such as Fock vector spaces, dynamical systems, Minkowski space and algebra of observables. The flow of this mathematical text is very smooth (proofs can be omitted from reading) and explanations are very intuitive. The latter seems to be the main goal of this text. It is also structured into 56 chapters so it can be possible to casually read this book in 2 months during commuting like I did. One strange thing I noticed though is the avoidance of the manifold terminology: the author only uses the word “manifold” only once and without an explanation what it is about so you may even not notice that.
Mathematical Physics (Chicago Lectures in Physics)


- Dmitry Vostokov @ LiterateScientist.com -