Bücher der Reihe Springer Collected Works in Mathematics

Kenkichi Iwasawa was one of the most original and influential mathematicians of the twentieth century. He made a number of fundamental contributions in group theory and algebraic number theory. In group theory, he created the theory of (L)-groups (including the structure theorem called "Iwasawa decomposition"), which played an important role in the solution of Hilbert's Fifth Problem. In number theory, he constructed a beautiful theory on Zp-extensions, now called "Iwasawa theory", realizing the deep analogy between number fields and algebraic function fields. Iwasawa theory has had a strong influence on the recent development of arithmetic algebraic geometry, including the solution of Fermat's Last Theorem. This volume of the collected papers of K. Iwasawa contains all 66 of his published papers, including 11 papers in Japanese, for which English abstracts by the editors are attached. In addition, the volume contains 5 papers unpublished until 2001. Also included is a masterly summary of Iwasawa theory by J. Coates (The University of Cambridge).

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 1992, Borel was awarded the International Balzan Prize for Mathematics "for his fundamental contributions to the theory of Lie groups, algebraic groups and arithmetic groups, and for his indefatigable action in favor of high quality in mathematical research and of the propagation of new ideas."

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.

What had long been (and had seemed destined to remain) merely a revered name in the mathematical annals of our times assumed suddenly the handsome presence of the man himself, dignified yet jovial, youthful yet wise, serene yet ever questing for new achievements;

I.M. Gelfand (1913 - 2009), one of the world''s leading contemporary mathematicians, largely determined the modern view of functional analysis with its numerous relations to other branches of mathematics, including mathematical physics, algebra, topology, differential geometry and analysis. In this three-volume Collected Papers Gelfand presents a representative sample of his work. Gelfand''s research led to the development of remarkable mathematical theories - most of which are now classics - in the field of Banach algebras, infinite-dimensional representations of Lie groups, the inverse Sturm-Liouville problem, cohomology of infinite-dimensional Lie algebras, integral geometry, generalized functions and general hypergeometric functions. The corresponding papers form the major part of the collection. Some articles on numerical methods and cybernetics as well as a few on biology are also included. A substantial number of the papers have been translated into English especially for this edition. The collection is rounded off by an extensive bibliography with almost 500 references. Gelfand''s Collected Papers will be a great stimulus, especially for the younger generation, and will provide a strong incentive to researchers.

Three lectures were presented there at a Memorial Session - by Jerry Sacks dealing with Jack's personal life, by Larry Brown dealing with Jack's contributions in statistics and probability, and by Henry Wynn dealing with Jack's contributions to the design of experiments.

From the Introduction: " Marston Morse was born in 1892, so that he was 33 years old when in 1925 his paper Relations between the critical points of a real-valued function of n independent variables appeared in the Transactions of the American Mathematical Society.

Aus dem Vorwort: "Die Ergebnisse, Methoden und Begriffe, die die mathematische Wissenschaft dem Forscher ISSAI SCHUR verdankt, haben ihre nachhaltige Wirkung bis in die Gegenwart hinein erwiesen und werden sie unverändert beibehalten. Immer wieder wird auf Unter­suchungen von SCHUR zurückgegriffen, werden Erkenntnisse von ihm benutzt oder fortgeführt und werden Vermutungen von ihm bestätigt... Die Besonderheit des mathematischen Schaffens von SCHUR hat einst MAX PLANCK, als Sekretär der physikalisch-mathematischen Klasse der Preußischen Akademie der Wissenschaften zu Berlin, gut gekennzeichnet. In seiner Erwiderung auf die Antrittsrede von SCHUR bei dessen Aufnahme als ordentliches Mitglied der Akademie am 29. Juni 1922 bezeugte er, daß SCHUR "wie nur wenige Mathematiker die große Abelsche Kunst übe, die Probleme richtig zu formulieren, passend umzuformen, geschickt zu teilen und dann einzeln zu bewältigen"."Band III enthält 28 von Issai Schur verfasste Artikel ab 1925 sowie u.a.Inhalte aus dem nicht veröffentlichten Nachlass.

Luis Santalo was a mathematician who laid the foundations of Stereology and its applications. This book contains a selection of his papers as well as a short biography, photographs, a list of his publications, and various appreciations of his influence.

Covering a period up to 1971, this selection of Saunders Mac Lane's most distinguished papers takes the reader on a journey through the most important milestones of the mathematical world in the twentieth century. Later, he contributed to the more abstract and general mathematical viewpoints which emerged in the twentieth century.