The Annenbergs

The Annenbergs
Author: John E. Cooney
Publisher: Simon & Schuster
Total Pages: 456
Release: 1982
Genre: Biography & Autobiography
ISBN:

"This is the colorful and dramatic biography of two of America's most controversial entrepreneurs: Moses Louis Annenberg, 'the racing wire king, ' who built his fortune in racketeering, invested it in publishing, and lost much of it in the biggest tax evasion case in United States history; and his son, Walter, launcher of TV Guide and Seventeen magazines and former ambassador to Great Britain."--Jacket.

Pettis Integral and Measure Theory

Pettis Integral and Measure Theory
Author: Michel Talagrand
Publisher: American Mathematical Soc.
Total Pages: 238
Release: 1984
Genre: Banach spaces
ISBN: 0821823078

We present a self-contained account of measure theory and integration in a Banach space. We give a detailed analysis of the weak Baire probabilities on a Banach space E, and on its second dual. Scalarly (= weak) measurable functions valued in E are studied via their image measure and it is shown how to regularize them using lifting. General criteria are given to ensure that they are Pettis integrable. This study relies on tools from topological and abstract measure theory.

Finite Groups--coming of Age

Finite Groups--coming of Age
Author: John McKay
Publisher: American Mathematical Soc.
Total Pages: 362
Release: 1985
Genre: Mathematics
ISBN: 0821850474

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.

Combinatorial Methods in Topology and Algebraic Geometry

Combinatorial Methods in Topology and Algebraic Geometry
Author: John R. Harper
Publisher: American Mathematical Soc.
Total Pages: 372
Release: 1985
Genre: Mathematics
ISBN: 9780821850398

A survey of the areas where combinatorial methods have proven especially fruitful: topology and combinatorial group theory, knot theory, 3-manifolds, homotopy theory and infinite dimensional topology, and four manifolds and algebraic surfaces.

Group Actions on Rings

Group Actions on Rings
Author: Susan Montgomery
Publisher: American Mathematical Soc.
Total Pages: 290
Release: 1985
Genre: Mathematics
ISBN: 0821850466

Ring theorists and researchers in invariant theory and operator algebra met at Bowdoin for the 1984 AMS-IMS-SIAM Joint Summer Research Conference to exchange ideas about group actions on rings. This work discusses topics common to the three fields, including: $K$-theory, dual actions, semi-invariants and crossed products.

Separable Algebroids

Separable Algebroids
Author: Barry Mitchell
Publisher: American Mathematical Soc.
Total Pages: 108
Release: 1985-12-31
Genre: Mathematics
ISBN: 9780821860687

Classical Real Analysis

Classical Real Analysis
Author: Daniel Waterman
Publisher:
Total Pages: 230
Release: 1985
Genre: Mathematics
ISBN:

This book collects most of the papers presented at a special session on classical real analysis held to honor Casper Goffman at the April 1982 AMS meeting. The variety of these papers reflects Goffman's wide-ranging interests and the many areas where his influence has been felt: differentiation and integration theory, structure theory of real functions, ordered systems, surface area, Sobolev spaces, Fourier analysis, measure theory, bases, and approximation theory. Together they provide an appreciation of the directions in which real analysis has developed and of how classical techniques might be applied to problems of current interest. Readers should have a background in classical analysis. Though aimed primarily at specialists in real function theory of one or several variables, the papers will also interest mathematicians working in the areas of Fourier analysis, surface area, mapping theory and control theory.