The Society for the Foundations of Computational Mathematics supports fundamental research in a wide spectrum of computational mathematics and its application areas. It regularly organizes conferences and workshops which bring together leading researchers in the diverse fields impinging on all aspects of computation. This book presents thirteen papers written by plenary speakers from the 1999 conference, all of whom are the foremost figures in their respective fields. Topics covered include complexity theory, approximation theory, optimization, computational geometry, stochastic systems and...

This book focuses on Poincare, Nash and other Sobolev-type inequalities and their applications to the Laplace and heat diffusion equations on Riemannian manifolds. Applications covered include the ultracontractivity of the heat diffusion semigroup, Gaussian heat kernel bounds, the Rozenblum-Lieb-Cwikel inequality and elliptic and parabolic Harnack inequalities. Emphasis is placed on the role of families of local Poincare and Sobolev inequalities. The text provides the first self contained account of the equivalence between the uniform parabolic Harnack inequality, on the one hand, and the...

Here is a self-contained introduction to quantum groups as algebraic objects. Based on the author's lecture notes for the Part III pure mathematics course at Cambridge University, the book is suitable as a primary text for graduate courses in quantum groups or supplementary reading for modern courses in advanced algebra. The material assumes knowledge of basic and linear algebra. Some familiarity with semisimple Lie algebras would also be helpful. The volume is a primer for mathematicians but it will also be useful for mathematical physicists.

This volume contains selected papers from the international conference Tits Buildings and the Model Theory of Groups, held in WUrzburg in 2000. The first part provides a general introduction to many aspects of buildings and their geometries, based on short lecture courses given at the conference. The rest of the book comprises survey and research articles on model theoretic results and techniques. Amalgamation constructions a la Hrushovski are explained and classified, as they are important techniques both in model theory and geometry. The articles demonstrate the close connection between...

This relatively elementary introduction to functions of several complex variables and complex (especially compact) manifolds is intended to be a synthesis of those topics and a broad introduction to the field. Part I is suitable for advanced undergraduates and beginning postgraduates whilst Part II is written more for the graduate student. The work as a whole should be useful to professional mathematicians or mathematical physicists who wish to acquire a working knowledge of this area of mathematics. Many exercises have been included and indeed they form an integral part of the text. The...

The Baruya are a tribal society in highlands Papua New Guinea, with whom Western contact was first made in 1951. During the last twenty years, Maurice Godelier has spent many long periods of time living among this people, and in this book he presents a detailed account of their lives and their forms of social organization. The focus of the book is on inequality and power in this classless society. Godelier discusses both the power that certain men (the Great men) have over others through their control of war, shamanism, hunting, and rites of initiation, as well as the extraordinary power and...

This book considers convergence of adapted sequences of real and Banach space-valued integrable functions.

The papers in this volume, which were presented at the 1985 Australian Mathematical Society convention, survey recent work in Diophantine analysis. The contributors are leading mathematicians in the world, and their articles are state of the art accounts, many of which include open problems pointing the way to further research. The contributions will be of general interest to number theorists and of particular interest to workers in transcendence theory, Diophantine approximation and exponential sums.

This book offers an original way of bridging the gap between what biologists and social scientists have to say about human behaviour.

In this new edition of Holographic and Speckle Interferometry the authors have taken the opportunity to expand considerably the material on applications and to include a more coherent description of a wider range of such applications. This revision reflects the rapid increase in the uses made of the basic technique that has occurred over the past few years. In addition, the bibliography has been updated to include relevant papers published since the first edition appeared.