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Assembles the papers of Ellis Kolchin, co-creator of differential algebra, and offers commentaries on the history of differential algebra and on Kolchin's work and mathematical legacy. Commentaries discuss the differential Galois theory in the context of Kolchin's interest in the theory of algebraic groups, recent work on the calculation of differential Galois groups, the origins of Kolchin's thought, important developments in differential algebra, and work in differential algebraic groups and Diophantine geometry. No index. Annotation copyrighted by Book News, Inc., Portland, OR
V.S. Varadarajan has made significant contributions to a remarkably broad range of mathematical subjects which include probability theory, various mathematical aspects of quantum mechanics, harmonic analysis on reductive groups and symmetric spaces, and the modern theory of meromorphic differential equations. The papers included in this volume have been selected to highlight these contributions. This book is jointly published by the AMS and the International Press.
A3 & HIS ALGEBRA is the true story of a struggling young boy from Chicago's west side who grew to become a force in American mathematics. For nearly 50 years, A. A. Albert thrived at the University of Chicago, one of the world's top centers for algebra. His "pure research" in algebra found its way into modern computers, rocket guidance systems, cryptology, and quantum mechanics, the basic theory behind atomic energy calculations. This first-hand account of the life of a world-renowned American mathematician is written by Albert's daughter. Her memoir, which favors a general audience, offers a personal and revealing look at the multidimensional life of an academic who had a lasting impact on ...
Containing four parts such as Analytic Geometry, Algebraic Geometry, Variations of Hodge Structures, and Differential Systems that are organized according to the subject matter, this title provides the reader with a panoramic view of important and exciting mathematics during the second half of the 20th century.
This book contains the collected works of A. Adrian Albert, a leading algebraist of the twentieth century. Albert made many important contributions to the theory of the Brauer group and central simple algeras, Riemann matrices, nonassociative algebras and other topics. Part 1 focuses on associative algebras and Riemann matrices part 2 on nonassociative algebras and miscellany. Because much of Albert's work remains of vital interest in contemporary research, this volume will interst mathematicians in a variety of areas.
Auslander made contributions to many parts of algebra, and this 2-volume set (the set ISBN is 0-8218-0679-3, already published) contains a selection of his main work.
Piatetski-Shapiro himself (with the consultation of the editors) selected these 162 papers--some of which appear in English for the first time. Together they represent almost 50 years of his service to mathematics, and though arranged by subject, are nearly in chronological order. Each of the sections conclude with commentary on the entire work of Piatetski-Shapiro's in that area, including related developments. Following his autobiographical Etude on life and automorphic forms in the Soviet Union, sections cover: early papers in harmonic analysis and number theory; automorphic functions and discrete groups; bounded homogeneous domains; applied mathematics; algebraic geometry; automorphic L-functions; and theta lifts and applications to generalized Ramanujan conjectures. Books and long papers have been excluded. No index. Annotation copyrighted by Book News, Inc., Portland, OR
This book is the first set of proceedings to be devoted entirely to the theory of hypergeometric functions defined on domains of positivity. Most of the scientific areas in which these functions are applied include analytic number theory, combinatorics, harmonic analysis, random walks, representation theory, and mathematical physics - are represented here. This volume is based largely on lectures presented at a Special Session at the AMS meeting in Tampa, Florida in March 1991, which was devoted to hypergeometric functions of matrix argument and to fostering communication among representatives of the diverse scientific areas in which these functions are utilized. Accessible to graduate students and others seeking an introduction to the state of the art in this area, this book is a suitable text for advanced graduate seminar courses for it contains many open problems.
Two meetings of the AMS in the autumn of 1989 - one at the Stevens Institute of Technology and the other at Ball State University - included Special Sessions on the role of p-adic methods in number theory and algebraic geometry. This volume grew out of these Special Sessions. Drawn from a wide area of mathematics, the articles presented here provide an excellent sampling of the broad range of trends and applications in p-adic methods.