This is a book on mathematical physics for a reader with a good background in mathematics, but possibly a minimal knowledge of physics. The subject matter is quantum physics and includes non-relativistic quantum mechanics, quantum statistical mechanics, relativistic quantum mechanics, and quantum field theory. The book only contains material which meets the twin criteria of being basic physics and being treatable with complete mathematical rigor. For each topic there is a straightforward statement of basic principles followed by simple examples. There is also background material in analysis, classical mechanics, relativity, and probability.

The book does not prove deep mathematical theorems. The book does not consider the complicated models of mathematical physics. The book does not enter into the fascinating speculative topics on the frontiers of physics, for example string theory. Finally the book does not consider questions concerning the foundations or philosophy of quantum physics. However the book does help prepare the reader for a journey in any of these directions.

The book assumes knowledge of elementary analysis, measure theory, linear algebra, some group theory, and some knowledge of differential equations. Some reference is made to manifolds, differential geometry, and Lie groups. Not much knowledge of physics is assumed beyond an introductory course. However one probably needs more than this to really appreciate the material.

The book is suitable for a graduate course in mathematics. In this connection there are problems scattered throughout the text.