Short works

Books : reviews

James J. Binney, N. J. Dowrick, Andrew J. Fisher, Mark E. J. Newman.
The Theory of Critical Phenomena: an introduction to the renormalization group.
OUP. 1992

The successful calculation of critical exponents for continuous phase transitions is one of the main achievements of theoretical physics over the last twenty five years. This was achieved through the use of scaling and field-theoretic techniques which have since become standard equipment in many areas of physics, especially quantum field theory. This book provides a thorough introduction to these techniques at a level suitable for beginning graduate students. The text assumes only a sound undergraduate background in physics and mathematics. Continuous phase transitions are introduced, then the necessary statistical mechanics are summarized, followed by standard models, some exact solutions, and techniques for numerical simulation. Next, the real-space renormalization group and mean-field theory are explained and illustrated. The last eight chapters cover the Landau–Ginzburg model, from physical motivation, through diagrammatic perturbation theory and renormalization, to the renormalization group and the calculation of critical exponents above and below the critical temperature.

Mark E. J. Newman, Richard G. Palmer.
Modeling Extinction.
OUP. 2003

Mark E. J. Newman.
Networks: an introduction: 1st edn.
OUP. 2010

The study of networks, including computer networks, social networks, and biological networks, has attracted enormous interest in the last few years. The rise of the Internet and the wide availability of inexpensive computers have made it possible to gather and analyze network data on an unprecedented scale, and the development of new theoretical tools has allowed us to extract knowledge from networks of many different kinds. The study of networks is broadly interdisciplinary and central developments have occurred in many fields, including mathematics, physics, computer and information sciences, biology, and the social sciences. This book brings together for the first time the most important breakthroughs in each of these fields and presents them in a coherent fashion, highlighting the strong interconnections between work in different areas.

Topics covered include the measurement of networks; methods for analyzing network data, including methods developed in physics, statistics, and sociology; fundamentals of graph theory; computer algorithms; mathematical models of networks, including random graph models and generative models; and theories of dynamical processes taking place on networks.