This textbook gives a connected mathematical derivation of the important mathematical results, concentrating on the central ideas without including elaborate detail or unnecessary rigour, and explaining in the simplest terms the symbols and concepts which confront the researcher in solid state, nuclear or high-energy physics.This textbook gives a connected mathematical derivation of the important mathematical results, concentrating on the central ideas without including elaborate detail or unnecessary rigour, and explaining in the simplest terms the symbols and concepts which confront the researcher in solid state, nuclear or high-energy physics.This is a textbook of advanced quantum theory for graduate students and research workers which gives a connected mathematical derivation of the important results, concentrating on the central ideas without burdening the exposition with elaborate detail or unnecessary rigour, and explains, in the simplest possible terms, the symbols and concepts which frequently confront the active research worker in solid state, nuclear and high-energy physics, and in theoretical chemistry. Professor Ziman brings to his task the sympathetic guidance of a lecturer who has not forgotten the difficulties that he himself had to surmount in mastering his subject.Preface; 1. Bosons; 2. Fermions; 3. Perturbation theory; 4. Green functions; 5. Some aspects of the many-body problems; 6. Relativistic formulations; 7. The algebra of symmetry; Index.'An outstanding book & Essential for all libraries and probably for most physicists.' Choice'The reader will find an easy and often delightful path to the understanding of the rather sophisticated concepts.' P. Roman, Mathematical Reviews'An unqualified success.' S. M. Blinder, Journal of the American Chemical Society