Despite its long history and stunning experimental successes, the mathematical foundation of perturbative quantum field theory is still a subject of ongoing res

Over the last century quantum field theory has made a significant impact on the formulation and solution of mathematical problems and inspired powerful advances

The theory of quantum fields on curved spacetimes has attracted great attention since the discovery, by Stephen Hawking, of black-hole evaporation. It remains a

This should be a useful reference for anybody with an interest in quantum theory.

The book is very different from other books devoted to quantum field theory, both in the style of exposition and in the choice of topics. Written for both mathe