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Provides a clear, concise and self-contained introduction to the global theory of the Dirac operator and to the analysis of spectral asymptotics with local or non-local boundary conditions. Ideal for graduate students and researchers working in theoretical physics and mathematics.

This book shows how modern cosmology and astronomy have led to the need to introduce dark matter in the universe. Some of this dark matter is in the familiar form of protons, electrons and neutrons, but most of it must have a more exotic form. The favoured, but not the only, possibility is neutrinos of non-zero rest mass, pair-created in the hot big bang and surviving to the present day. After a review of modern cosmology, this book gives a detailed account of the author's recent theory in which these neutrinos decay into photons which are the main ionising agents in hydrogen and nitrogen in the interstellar and intergalactic medium. This theory, though speculative, explains a number of rather different puzzling phenomena in astronomy and cosmology in a unified way and predicts values of various important quantities such as the mass of the decaying neutrino and the Hubble constant. Written by a cosmologist of the first rank, this topical book will be essential reading to all cosmologists and astrophysicists.

A thoroughly modern graduate-level introduction to the theory of critical behaviour.

This book is an introduction to the applications in nonequilibrium statistical mechanics of chaotic dynamics, and also to the use of techniques in statistical mechanics important for an understanding of the chaotic behaviour of fluid systems. Of interest to graduate students and researchers with a background in statistical mechanics.

In this book the different possible singularities are defined, and the mathematical methods needed to extend the space-time are described in detail.

This timely volume provides a self-contained introduction to the mathematical theory of black holes. Throughout, emphasis is given to the underlying geometrical concepts. It provides both a rigorous textbook for graduate students and an invaluable, up-to-date reference for researchers.

The authors present a 'state-of-the-art' analysis of the observational and theoretical arguments surrounding dark matter, primordial nucleosynthesis, large-scale structure formation and the cosmic microwave background radiation. Written by two eminent cosmologists, this topical and provocative book will be essential reading for all cosmologists and astrophysicists.

A clear and concise introduction to the field of self-organized criticality, with an overview of the main research results. Reading the book requires no previous knowledge of the field, and it will be ideal as a textbook for graduate students taking physics, engineering, or mathematical biology courses in nonlinear science or complexity.

This book provides an easily accessible introduction to quantum field theory via Feynman rules and calculations in particle physics. Written as a graduate textbook, many diagrams, exercises and examples are included.

A comprehensive introduction to group algebraic and geometric methods for study of nonlinear integrable systems of Toda type. Written in an accessible 'lecture note' style with many examples and exercises to illustrate key points and to reinforce understanding.