The Mathematical Legacy of Wilhelm Magnus: Groups, Geometry and Special Functions

The Mathematical Legacy of Wilhelm Magnus: Groups, Geometry and Special Functions PDF Author: William Abikoff
Publisher: American Mathematical Soc.
ISBN: 082185156X
Category : Mathematics
Languages : en
Pages : 512

Book Description
Wilhelm Magnus was an extraordinarily creative mathematician who made fundamental contributions to diverse areas, including group theory, geometry and special functions. This book contains the proceedings of a conference held in May 1992 at Polytechnic University, Brooklyn to honour the memory of Magnus. The focus of the book is on active areas of research where Magnus' influence can be seen. The papers range from expository articles to major new research, bringing together seemingly diverse topics and providing entry points to a variety of areas of mathematics.

Lectures on Geometry

Lectures on Geometry PDF Author: Edward Witten
Publisher: Oxford University Press
ISBN: 0191087823
Category : Science
Languages : en
Pages : 227

Book Description
This volume contains a collection of papers based on lectures delivered by distinguished mathematicians at Clay Mathematics Institute events over the past few years. It is intended to be the first in an occasional series of volumes of CMI lectures. Although not explicitly linked, the topics in this inaugural volume have a common flavour and a common appeal to all who are interested in recent developments in geometry. They are intended to be accessible to all who work in this general area, regardless of their own particular research interests.

CRC Concise Encyclopedia of Mathematics

CRC Concise Encyclopedia of Mathematics PDF Author: Eric W. Weisstein
Publisher: CRC Press
ISBN: 1420035223
Category : Mathematics
Languages : en
Pages : 3253

Book Description
Upon publication, the first edition of the CRC Concise Encyclopedia of Mathematics received overwhelming accolades for its unparalleled scope, readability, and utility. It soon took its place among the top selling books in the history of Chapman & Hall/CRC, and its popularity continues unabated. Yet also unabated has been the d

Finitely Presented Groups

Finitely Presented Groups PDF Author: Volker Diekert
Publisher: Walter de Gruyter GmbH & Co KG
ISBN: 3111474275
Category : Mathematics
Languages : en
Pages : 322

Book Description
This book contains surveys and research articles on the state-of-the-art in finitely presented groups for researchers and graduate students. Overviews of current trends in exponential groups and of the classification of finite triangle groups and finite generalized tetrahedron groups are complemented by new results on a conjecture of Rosenberger and an approximation theorem. A special emphasis is on algorithmic techniques and their complexity, both for finitely generated groups and for finite Z-algebras, including explicit computer calculations highlighting important classical methods. A further chapter surveys connections to mathematical logic, in particular to universal theories of various classes of groups, and contains new results on countable elementary free groups. Applications to cryptography include overviews of techniques based on representations of p-groups and of non-commutative group actions. Further applications of finitely generated groups to topology and artificial intelligence complete the volume. All in all, leading experts provide up-to-date overviews and current trends in combinatorial group theory and its connections to cryptography and other areas.

Mathematical Problems in the Theory of Water Waves

Mathematical Problems in the Theory of Water Waves PDF Author: Frederic Dias
Publisher: American Mathematical Soc.
ISBN: 082180510X
Category : Mathematics
Languages : en
Pages : 264

Book Description
The proceedings featured in this book grew out of a conference attended by 40 applied mathematicians and physicists which was held at the International Center for Research in Mathematics in Luminy, France, in May 1995. This volume reviews recent developments in the mathematical theory of water waves. The following aspects are considered: modeling of various wave systems, mathematical and numerical analysis of the full water wave problem (the Euler equations with a free surface) and of asymptotic models (Korteweg-de Vries, Boussinesq, Benjamin-Ono, Davey-Stewartson, Kadomtsev-Petviashvili, etc.), and existence and stability of solitary waves.

Differential Geometry and Mathematical Physics

Differential Geometry and Mathematical Physics PDF Author: John K. Beem
Publisher: American Mathematical Soc.
ISBN: 0821851721
Category : Mathematics
Languages : en
Pages : 234

Book Description
This book contains the proceedings of the Special Session, Geometric Methods in Mathematical Physics, held at the joint AMS-CMS meeting in Vancouver in August 1993. The papers collected here contain a number of new results in differential geometry and its applications to physics. The major themes include black holes, singularities, censorship, the Einstein field equations, geodesics, index theory, submanifolds, CR-structures, and space-time symmetries. In addition, there are papers on Yang-Mills fields, geometric techniques in control theory, and equilibria. Containing new results by established researchers in the field, this book provides a look at developments in this exciting area of research.

Mathematical Aspects of Conformal and Topological Field Theories and Quantum Groups

Mathematical Aspects of Conformal and Topological Field Theories and Quantum Groups PDF Author: Paul J. Sally (Jr.)
Publisher: American Mathematical Soc.
ISBN: 0821851861
Category : Mathematics
Languages : en
Pages : 282

Book Description
This book contains papers presented by speakers at the AMS-IMS-SIAM Joint Summer Research Conference on Conformal Field Theory, Topological Field Theory and Quantum Groups, held at Mount Holyoke College in June 1992. One group of papers deals with one aspect of conformal field theory, namely, vertex operator algebras or superalgebras and their representations. Another group deals with various aspects of quantum groups. Other topics covered include the theory of knots in three-manifolds, symplectic geometry, and tensor products. This book provides an excellent view of some of the latest developments in this growing field of research.

Mathematical Analysis, Wavelets, and Signal Processing

Mathematical Analysis, Wavelets, and Signal Processing PDF Author: Mourad Ismail
Publisher: American Mathematical Soc.
ISBN: 0821803840
Category : Computers
Languages : en
Pages : 366

Book Description
This book contains the proceedings of an international conference held in Cairo, Egypt (January 1994). Mathematics and engineering discoveries, such as wavelets, multiresolution analysis, and subband coding schemes, caused rapid advancements in signal processing, necessitating an interdisciplinary approach. Contributors to this conference demonstrated that some traditional areas of mathematical analysis - sampling theory, approximation theory, and orthogonal polynomials - have proven extremely useful in solving various signal processing problems.

Advances in Differential Equations and Mathematical Physics

Advances in Differential Equations and Mathematical Physics PDF Author: Eric Carlen
Publisher: American Mathematical Soc.
ISBN: 0821808613
Category : Mathematics
Languages : en
Pages : 234

Book Description
The text offers a combination of certain emerging topics and important research advances in the area of differential equations. The topics range widely and include magnetic Schroedinger operators, the Boltzmann equations, nonlinear variational problems and noncommutative probability theory. The text is suitable for graduate and advanced graduate courses and seminars on the topic, as well as research mathematicians and physicists working in mathematical physics, applied mathematics, analysis and differential equations.

Foundational Aspects of "non"standard Mathematics

Foundational Aspects of Author: David Ballard
Publisher: American Mathematical Soc.
ISBN: 0821802933
Category : Mathematics
Languages : en
Pages : 146

Book Description
A philosophically provocative treatment for general mathematicians. Reformulates the model theory underlying "non" standard mathematics within point set topology and presents new proofs for the various versions. The radical aspect is the introduction of relativity into the mathematical environment. Annotation copyright by Book News, Inc., Portland, OR