Books in the Oxford Mathematical Monographs series

Aims to provide a detailed account in this field. The emphasis is on infinite groups, although some relevant theorems on finite products of groups are also proved. The chapter on splitting and conjugacy theorems is very new and should be of independent interest.

This title presents the reader with a systematic introduction to a class of variational problems called 'free discontinuity problems'. The book bridges the gap between the research level and elementary courses on measure theory and calculus of variation at a level suitable for graduate students.

Presenting a unique view on the subject of mathematical materials science, this book stresses issues foundational in nature, with the emphasis on the interplay between mathematics and physics. It discusses the dynamics of two-phase systems within the framework of modern continuum thermodynamics.

Cohomology of groups is a specialized topic, but it has figured prominently in major developments in important areas of mathematics. Its roots lie in both algebra and geometry.

This volume is a successor to the title listed below. This book restricts itself to three dimensions and considers both those topics which are analogues of geometry over the complex numbers and topics arising out of the modern theory of incidence structures.

In topology the three basic concepts of metrics, topologies and uniformities have been treated so far as separate entities by means of different methods and terminology. This is the first book to treat all three concepts as a special case of the concept of approach spaces developed previously by the author in a number of research articles.