This introduction to the theory of quantum fields in curved spacetime, intended for mathematicians, arose from a course taught to graduate students and is designed for self-study or advanced courses in relativity and quantum field theory. The style is informal and some knowledge of general relativity and differential geometry is assumed, yet the author does supply background material on function analysis and quantum field theory as required. Physicists should also gain a sound grasp of various aspects of the theory, some of which have not been particularly emphasized in the existing review...

Neither a list of theorems and proofs nor a recipe for elementary matrix calculations, this textbook acquaints the student of applied mathematics with the concepts of linear algebra -- why they are useful and how they are used. As each concept is introduced, it is applied to multivariable calculus or differential equations, extending and consolidating the student's understanding of those subjects in the process.