Bücher der Reihe Springer Collected Works in Mathematics

Karl Menger, one of the founders of dimension theory, is among the most original mathematicians and thinkers of the twentieth century.

The creative work of Andrei N. Kolmogorov is exceptionally wide-ranging. In his studies on trigonometric and orthogonal series, the theory of measure and inte­gral, mathematical logic, approximation theory, geometry, topology, functional analysis, classical mechanics, ergodic theory, superposition of functions, and in­ formation theory, he solved many conceptual and fundamental problems and posed new questions which gave rise to a great deal of further research. Kolmogorov is one of the founders of the Soviet school of probability theory, mathematical statistics, and the theory of turbulence. In these areas he obtained a number of central results, with many applications to mechanics, geophysics, linguistics and biology, among other subjects. This edition includes Kolmogorov's most important papers on mathematics and the natural sciences. It does not include his philosophical and ped­agogical studies, his articles written for the "Bolshaya Sovetskaya Entsiklopediya", his papers on prosody and applications of mathematics or his publications on general questions. The material of this edition was selected and compiled by Kolmogorov himself.The first volume consists of papers on mathematics and also on turbulence and classical mechanics. The second volume is devoted to probability theory and mathematical statistics. The focus of the third volume is on information theory and the theory of algorithms.

Published with the support of Unione Matematica Italiana and Scuola Normale Superiore

lt is hoped that in addition to making his contributions more accessible by collecting them in one place, these volumes would help focus renewed attention on his ideas and methods as well as lend additional perspective to them." The papers are arranged chronologically, Volume II collects his articles written between 1955 and 1958.

lt is hoped that in addition to making his contributions more accessible by collecting them in one place, these volumes would help focus renewed attention on his ideas and methods as well as lend additional perspective to them." The papers are arranged chronologically, Volume III collects his articles written between 1959 and 1968.

Here are the collected papers of Serge Lang, who has made numerous contributions to mathematics. One of the top mathematicians of our time, Lang received the American Mathematical Society's Cole Prize, and the Prix Carriere from the French Academy of Sciences.

This book offers a collection of 22 research papers of Irving Kaplansky, each followed up with new comments, often including references to later papers by other authors. Also included are eight hitherto unpublished items, covering a variety of topics.

, "Uber die analytische Methoden in der Wahrscheinlichkeitsrechnung," Math Ann. , "Zur Theorie der stochastischen Prozesse," Math Ann. , "Stochastic processes depending on a continuous parameter, " TAMS 42 (1937)) still appeared impregnable to all but the most erudite.

Published wit the Cooperation of the Institute of Mathematical Statistics

Mumford is a well-known mathematician and winner of the Fields Medal, the highest honor available in mathematics. Many of these papers are currently unavailable, and the commentaries by Gieseker, Lange, Viehweg and Kempf are being published here for the first time.

Karl Menger, one of the founders of dimension theory, is among the most original mathematicians and thinkers of the twentieth century.

In making selections for reprinting we have tried to keep in mind three potential audiences: (1) the historian who would like to know Robbins' seminal role in stimulating a substantial proportion of current research in mathematical statistics;

These articles span the years from 1961-1980 while David Mumford was an active researcher in the area of algebraic geometry. This volume includes many important papers previously omitted. Mumford's correspondence with Grothendieck is also included.

Vinogradov (1891 - 1983) was one of the creators of modern analytic number theory. In addition to some early works, it contains the initial proofs of many of Vinogradov's basic theorems as well as the later improved versions, and also two substantial monographs.

This volume offers a selection of key papers from Joseph Leonard Walsh, former US Naval Officer and professor at University of Maryland and Harvard University. It includes one of Walsh's most influential works, "A closed set of normal orthogonal function."

This softcover edition features two additional, recently published articles, one on the life and works of Andre Weil, the other one on Finite Subgroups of Lie Groups.

Andre Weil's mathematical work has deeply influenced the mathematics of the twentieth century. Part of a three-volume set, this work collects his papers in chronological order and includes lengthy commentaries on many of the articles written by Weil himself.

In recognition of professor Shiing-Shen Chern's long and distinguished service to mathematics and to the University of California, the geometers at Berkeley held an International Symposium in Global Analysis and Global Geometry in his honor in June 1979.