Contemporary Mathematics, Volume: 433
2007; 336 pp; softcover
ISBN-10: 0-8218-3713-3
ISBN-13: 978-0-8218-3713-9
Expected publication date is August 1, 2007.
The papers in this volume are based on the talks given at the conference on quantum groups dedicated to the memory of Joseph Donin, which was held at the Technion Institute, Haifa, Israel in July 2004. A survey of Donin's distinguished mathematical career is included. Several articles, which were directly influenced by the research of Donin and his colleagues, deal with invariant quantization, dynamical $R$-matrices, Poisson homogeneous spaces, and reflection equation algebras. The topics of other articles include Hecke symmetries, orbifolds, set-theoretic solutions to the pentagon equations, representations of quantum current algebras, unipotent crystals, the Springer resolution, the Fourier transform on Hopf algebras, and, as a change of pace, the combinatorics of smoothly knotted surfaces.
The articles all contain important new contributions to their respective areas and will be of great interest to graduate students and research mathematicians interested in Hopf algebras, quantum groups, and applications.
This book is copublished with Bar-Ilan University (Ramat-Gan, Israel).
Readership
Graduate students and research mathematicians interested in Hopf algebras, quantum groups, and applications.
Table of Contents
Contemporary Mathematics, Volume: 434
2007; 255 pp; softcover
ISBN-10: 0-8218-4062-2
ISBN-13: 978-0-8218-4062-7
Expected publication date is August 2, 2007.
This volume, based on lectures and short communications at a summer school in Villa de Leyva, Colombia (July 2005), offers an introduction to some recent developments in several active topics at the interface between geometry, topology and quantum field theory. It is aimed at graduate students in physics or mathematics who might want insight in the following topics (covered in five survey lectures):
Anomalies and noncommutative geometry,
Deformation quantisation and Poisson algebras,
Topological quantum field theory and orbifolds.
These lectures are followed by nine articles on various topics at the borderline of mathematics and physics ranging from quasicrystals to invariant instantons through black holes, and involving a number of mathematical tools borrowed from geometry, algebra and analysis.
Readership
Graduate students and research mathematicians interested in topological and geometric method in quantum field theory.
Table of Contents
Translations of Mathematical Monographs, Volume: 234
2007; approx. 256 pp; hardcover
ISBN-10: 0-8218-3873-3
ISBN-13: 978-0-8218-3873-0
Expected publication date is September 21, 2007.
Homogenization is a collection of powerful techniques in partial differential equations that are used to study differential operators with rapidly oscillating coefficients, boundary value problems with rapidly varying boundary conditions, equations in perforated domains, equations with random coefficients, and other objects of theoretical and practical interest.
The book focuses on various aspects of homogenization theory and related topics. It comprises classical results and methods of homogenization theory, as well as modern subjects and techniques developed in the last decade. Special attention is paid to averaging of random parabolic equations with lower order terms, to homogenization of singular structures and measures, and to problems with rapidly alternating boundary conditions.
The book contains many exercises, which help the reader to better understand the material presented. All the main results are illustrated with a large number of examples, ranging from very simple to rather advanced.
Readership
Graduate students and research mathematicians interested in partial differential equations.
Table of Contents
Related topics
Homogenization methods
Applications of homogenization methods
Bibliography
Index
Included in series
Studies in Computational Mathematics,
Description
This book (along with volume 2 covers most of the traditional methods for polynomial root-finding such as Newton?s, as well as numerous variations on them invented in the last few decades. Perhaps more importantly it covers recent developments such as Vincent?s method, simultaneous iterations, and matrix methods. There is an extensive chapter on evaluation of polynomials, including parallel methods and errors. There are pointers to robust and efficient programs. In short, it could be entitled ?A Handbook of Methods for Polynomial Root-finding?. This book will be invaluable to anyone doing research in polynomial roots, or teaching a graduate course on that topic.
Audience
academic faculties and libraries, engineering industry
Contents
Preface
Contents
Introduction
1. Evaluation, Convergence, Bounds
2. Sturm Sequences and Greatest Common Divisors
3. Real Roots by Continued Fractions
4. Simultaneous Methods
5. Newton's and Related Methods
6. Matrix Models
Index
Bibliographic & ordering Information
Hardbound, 356 pages, publication date: JUN-2007
ISBN-13: 978-0-444-52729-5
ISBN-10: 0-444-52729-X