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In this book, the author provides an pedagogical introduction to the formulation of quantum field theory in curved spacetime. The main features of the theory and the relations between different approaches are clarified here along with the Unruh effect and the Hawking effect.

A guide for any student of vector analysis, this text separates those relationships which are topologically invariant from those which are not. Based on the essentially geometric nature of the subject, this approach builds consistently on students' prior knowledge and geometrical intuition.

Computation is the process of applying a procedure or algorithm to the solution of a mathematical problem. This book covers three broad topics: the computation process and its limitations, the search for computational efficiency, and the role of quantum mechanics in computation.

Electrodynamics is a comprehensive study of the field produced by and interacting with charged particles, which in practice means almost all matter. This text offers a treatment of this branch of physics, from fundamental physical principles through to a relativistic Lagranian formulism.

Mathematical Physics is an introduction to such basic mathematical structures as groups, vector spaces, topological spaces, measure spaces, and Hilbert space. Geroch uses category theory to emphasize both the interrelationships among different structures and the unity of mathematics.