This introduction to the mathematical foundations of quantum field theory is based on operator algebraic methods and emphasizes the link between the mathematical formulations and related physical concepts. The book begins with a general probabilistic description of physics, encompassing both classical and quantum physics, and presents the key physical notions before introducing operator algebraic methods. Operator algebra is then used to develop the theory of special relativity, scattering theory, and sector theory.

"This slender little volume of a little over 200 pages is a miracle ... a remarkable achievement of concision and clarity. It is a lovely introduction to algebraic quantum theory. Even workers in the field can read it with profit." — Mathematical Reviews