Bøger i Springer Collected Works in Mathematics serien

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 In addition, the volume contains 5 papers unpublished until 2001.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.

The late Professor Pao-Lu Hsu's statistical work was primarily concerned with inference in univariate and multivariate linear models and with the associated distribution theory, both exact and asymptotic.

Hans Grauert was one of the world's leading mathematicians in the field of Several Complex Variables; Hans Grauert may be regarded as a direct successor of Gauss, holding a chair at Goettingen that before him was held by Siegel, Weyl, Hilbert, Riemann and Gauss.

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."

The first of a three-volume collection of papers by Jean Leray, each reflecting a central theme of his research, this book features an introduction by the late Swiss mathematician Armand Borel and covers Leray s seminal work in the field of algebraic topology."

The first of a three-volume collection of papers by Jean Leray, each reflecting a central theme of his research, this book features an introduction by the late Swiss mathematician Armand Borel and covers Leray s seminal work in the field of algebraic topology."

The first of a three-volume collection of papers by Jean Leray, each reflecting a central theme of his research, this book features an introduction by the late Swiss mathematician Armand Borel and covers Leray's seminal work in the field of algebraic topology.

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 1996 the AMS awarded Goro Shimura the Steele Prize for Lifetime Achievement: "To Goro Shimura for his important and extensive work on arithmetical geometry and automorphic forms;

His later work, which cuts across function theory, operator theory, spectral theory, group theory, topology, differential geometry and number theory, has enlarged and transfigured the whole concept and structure of arithmetic.

This volume contains two introductory essays, one by Nathaniel Friedman on Halmos's work in ergodic theory, one by Donald Sarason on Halmos's work in operator theory.

A selection of the mathematical writings of Paul R. Halmos (1916 - 2006) is presented in two Volumes. Volume I consists of research publications plus two papers of a more expository nature on Hilbert Space. The remaining expository articles and all the popular writings appear in this second volume.

His later work, which cuts across function theory, operator theory, spectral theory, group theory, topology, differential geometry and number theory, has enlarged and transfigured the whole concept and structure of arithmetic.

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.

A renowned mathematician who considers himself both applied and theoretical in his approach, Peter Lax has spent most of his professional career at NYU, making significant contributions to both mathematics and computing.

A renowned mathematician who considers himself both applied and theoretical in his approach, Peter Lax has spent most of his professional career at NYU, making significant contributions to both mathematics and computing.

From the preface: "Hopf algebras, Hopf fibration of spheres, Hopf-Rinow complete Riemannian manifolds, Hopf theorem on the ends of groups - can one imagine modern mathematics without all this?

This book collects the papers of mathematician Ernst Witt (1911-1991), who has decisively shaped the development of various mathematical fields like algebra, number theory, group theory, combinatorics and Lie theory.

"These volumes collect almost all of the research and expository papers of J.-P. Serre published in mathematical journals through 1984, as well as some of his seminar reports, and a few items not previously published. .... Throughout his writings, Serre has liberally sprinkled open questions and conjectures. Most endnotes list subsequent progress made on these questions or improvements to the main results of the papers. Some make additional comments, and a few are corrections. These endnotes alone justify the publication of the collected works. Serre is one of the masters of mathematical exposition...." --James Milne, University of Michigan, in Math Reviews