A Course in Modern Mathematical Physics: Groups, Hilbert Space and Differential Geometry by Peter Szekeres My intro to abstract math... Wide range of topics, v

A Course in Modern Mathematical Physics: Groups, Hilbert Space and Differential Geometry by Peter Szekeres My intro to abstract math... Wide range of topics, very clearly written and very well structured. Sets, groups, vector spaces, tensors, topology, differential geometry, lie groups and more. An Introduction to Category Theory by Harold Simmons Very enjoyable read. You cannot go wrong with this as your first book on the subject.