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

The Mathematical Legacy of Wilhelm Magnus: Groups, Geometry and Special Functions
Author: William Abikoff
Publisher: American Mathematical Soc.
Total Pages: 512
Release: 1994
Genre: Mathematics
ISBN: 082185156X

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.

The Mathematical Legacy of Wilhelm Magnus

The Mathematical Legacy of Wilhelm Magnus
Author: William Abikoff
Publisher: American Mathematical Soc.
Total Pages: 516
Release: 1994-08-18
Genre: Mathematics
ISBN: 9780821855065

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 to honor the memory of Magnus. The focus of the book is on active areas of current 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
Author: Nicholas Michael John Woodhouse
Publisher: Oxford University Press
Total Pages: 201
Release: 2017
Genre: Mathematics
ISBN: 0198784910

This book contains a series of chapters by leading researchers and practitioners on community engagement approaches in the field of counterterrorism and counterinsurgency. It presents existing and emerging community engagement models in various parts of the world which could serve as effective models for governments keen to work with community leaders to manage and reduce the terrorist threat. The book emphasizes the strength of communities as central to government approaches in countering violent extremism.

Finitely Presented Groups

Finitely Presented Groups
Author: Volker Diekert
Publisher: Walter de Gruyter GmbH & Co KG
Total Pages: 322
Release: 2024-10-07
Genre: Mathematics
ISBN: 3111474275

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.

Special Functions and Orthogonal Polynomials

Special Functions and Orthogonal Polynomials
Author: Diego Dominici
Publisher: American Mathematical Soc.
Total Pages: 226
Release: 2008
Genre: Mathematics
ISBN: 0821846507

"This volume contains fourteen articles that represent the AMS Special Session on Special Functions and Orthogonal Polynomials, held in Tucson, Arizona in April of 2007. It gives an overview of the modern field of special functions with all major subfields represented, including: applications to algebraic geometry, asymptotic analysis, conformal mapping, differential equations, elliptic functions, fractional calculus, hypergeometric and q-hypergeometric series, nonlinear waves, number theory, symbolic and numerical evaluation of integrals, and theta functions. A few articles are expository, with extensive bibliographies, but all contain original research." "This book is intended for pure and applied mathematicians who are interested in recent developments in the theory of special functions. It covers a wide range of active areas of research and demonstrates the vitality of the field."--BOOK JACKET.

Conformal Geometry of Discrete Groups and Manifolds

Conformal Geometry of Discrete Groups and Manifolds
Author: Boris N. Apanasov
Publisher: Walter de Gruyter
Total Pages: 541
Release: 2011-06-24
Genre: Mathematics
ISBN: 3110808056

The aim of the Expositions is to present new and important developments in pure and applied mathematics. Well established in the community over more than two decades, the series offers a large library of mathematical works, including several important classics. The volumes supply thorough and detailed expositions of the methods and ideas essential to the topics in question. In addition, they convey their relationships to other parts of mathematics. The series is addressed to advanced readers interested in a thorough study of the subject. Editorial Board Lev Birbrair, Universidade Federal do Ceará, Fortaleza, Brasil Walter D. Neumann, Columbia University, New York, USA Markus J. Pflaum, University of Colorado, Boulder, USA Dierk Schleicher, Jacobs University, Bremen, Germany Katrin Wendland, University of Freiburg, Germany Honorary Editor Victor P. Maslov, Russian Academy of Sciences, Moscow, Russia Titles in planning include Yuri A. Bahturin, Identical Relations in Lie Algebras (2019) Yakov G. Berkovich, Lev G. Kazarin, and Emmanuel M. Zhmud', Characters of Finite Groups, Volume 2 (2019) Jorge Herbert Soares de Lira, Variational Problems for Hypersurfaces in Riemannian Manifolds (2019) Volker Mayer, Mariusz Urbański, and Anna Zdunik, Random and Conformal Dynamical Systems (2021) Ioannis Diamantis, Boštjan Gabrovšek, Sofia Lambropoulou, and Maciej Mroczkowski, Knot Theory of Lens Spaces (2021)

Groups St Andrews 2013

Groups St Andrews 2013
Author: C. M. Campbell
Publisher: Cambridge University Press
Total Pages: 503
Release: 2015-10-22
Genre: Mathematics
ISBN: 1107514541

Leading researchers survey the latest developments in group theory and many related areas.

Algorithmic Problems of Group Theory, Their Complexity, and Applications to Cryptography

Algorithmic Problems of Group Theory, Their Complexity, and Applications to Cryptography
Author: Delaram Kahrobaei
Publisher: American Mathematical Soc.
Total Pages: 136
Release: 2015-02-25
Genre: Business & Economics
ISBN: 0821898590

This volume contains the proceedings of the AMS Special Session on Algorithmic Problems of Group Theory and Their Complexity, held January 9-10, 2013 in San Diego, CA and the AMS Special Session on Algorithmic Problems of Group Theory and Applications to Information Security, held April 6-7, 2013 at Boston College, Chestnut Hill, MA. Over the past few years the field of group-based cryptography has attracted attention from both group theorists and cryptographers. The new techniques inspired by algorithmic problems in non-commutative group theory and their complexity have offered promising ideas for developing new cryptographic protocols. The papers in this volume cover algorithmic group theory and applications to cryptography.

Groups St Andrews 2017 in Birmingham

Groups St Andrews 2017 in Birmingham
Author: C. M. Campbell
Publisher: Cambridge University Press
Total Pages: 510
Release: 2019-04-11
Genre: Mathematics
ISBN: 110872874X

These proceedings of 'Groups St Andrews 2017' provide a snapshot of the state-of-the-art in contemporary group theory.