Finite Groups--coming of Age

Finite Groups--coming of Age

Author: John McKay

Publisher: American Mathematical Soc.

Published: 1985

Total Pages: 362

ISBN-13: 0821850474

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These conference papers should dispel any post-classification pessimism about the future of the theory of finite simple groups. Having noted that the theory developed for the classification touches on so few other branches of mathematics, the editor focuses on research in finite simple groups not central to the classification and presents a broad context for the recent results in the field. The papers are aimed at researchers and graduate students in algebra. They pay special attention to current research in sporadic geometry, the Fischer-Griess Monster group, and moonshine. Though all the papers are of high research value, the following papers of unusual significance should be singled out: Frenkel, Lepowsky, and Meurman's construction of the Monster group $F_1$; Conway and Queen's computation of characters of $E_8({\bf C})$; Norton's proof of the uniqueness of the Monster; and Mason's exploration of moonshine.


Function Estimates

Function Estimates

Author: James Stephen Marron

Publisher: American Mathematical Soc.

Published: 1986

Total Pages: 190

ISBN-13: 0821850628

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This volume collects together papers presented at the 1985 Conference in Function Estimation held at Humboldt State University. The papers focus especially on various types of spline estimations and convolution problems. The use of estimation and approximation methods as applied to geophysics, numerical analysis, and nonparametric statistics was a special feature of this conference.


Topics in Complex Analysis

Topics in Complex Analysis

Author: Dorothy Brown Shaffer

Publisher: American Mathematical Soc.

Published: 1985

Total Pages: 154

ISBN-13: 0821850377

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Presents mathematical ideas based on papers given at an AMS meeting held at Fairfield University in October 1983. This work deals with the Loewner equation, classical results on coefficient bodies and modern optimal control theory. It also deals with support points for the class $S$, Loewner chains and the process of truncation.


Contributions to Group Theory

Contributions to Group Theory

Author: Kenneth I. Appel

Publisher: American Mathematical Soc.

Published: 1984

Total Pages: 534

ISBN-13: 0821850350

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Contains five short articles about Roger Lyndon and his contributions to mathematics, as well as twenty-seven invited research papers in combinatorial group theory and closely related areas. Several of the articles featured in this work fall into subfields of combinatorial group theory, areas in which much of the initial work was done by Lyndon.


Conference on Modern Analysis and Probability

Conference on Modern Analysis and Probability

Author: Richard Beals

Publisher: American Mathematical Soc.

Published: 1984

Total Pages: 446

ISBN-13: 082185030X

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An NSF-supported conference in honor of Professor Shizuo Kakutani was held on June 8-11, 1982, at Yale University, on the occasion of Kakutani's retirement. The three major areas of mathematics on which the conference focused were functional analysis, probability theory, and ergodic theory.


Fluids and Plasmas: Geometry and Dynamics

Fluids and Plasmas: Geometry and Dynamics

Author: Jerrold E. Marsden

Publisher: American Mathematical Soc.

Published: 1984

Total Pages: 466

ISBN-13: 0821850288

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"The organizing committee envisioned bringing together three groups of people working on the following topics in fluid and plasma dynamics: 1. Geometric aspects : Hamiltonian structures, perturbation theory and nonlinear stability by variational methods, 2) Analytical and numerical methods: contour dynamics, spectral methods, and functional analytic techniques, 3) Dynamical systems aspects: experimental and numerical methods, bifurcation theory, and chaos."- introduction


Classical Groups and Related Topics

Classical Groups and Related Topics

Author: Alexander Hahn

Publisher: American Mathematical Soc.

Published: 1989

Total Pages: 272

ISBN-13: 082185089X

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During his lifetime, L. K. Hua played a leading role in and exerted a great influence upon the development in China of modern mathematics, both pure and applied. His mathematical career began in 1931 at Tsinghua University where he continued as a professor for many years. Hua made many significant contributions to number theory, algebra, geometry, complex analysis, numerical analysis, and operations research. In particular, he initiated the study of classical groups in China and developed new matrix methods which, as applied by him as well as his followers, were instrumental in the successful attack of many problems. To honor his memory, a joint China-U.S. conference on Classical Groups and Related Topics was held at Tsinghua University in Beijing in May 1987. This volume represents the proceedings of that conference and contains both survey articles and research papers focusing on classical groups and closely related topics.