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Author : Walter E. Thirring
Publisher : Unknown
Page : 729 pages
File Size : 50,5 Mb
Release : 1998
Category : Electronic
ISBN : 0821608126
Author : Walter E. Thirring
Publisher : American Mathematical Soc.
Page : 750 pages
File Size : 54,7 Mb
Release : 1998
Category : Mathematics
ISBN : 0821808125
".... with the huge success of the quantum theory, starting especially with the Schrödinger equation in 1926, came a feeling among the leading physicists that mathematics should keep in the background or, as one person put it, `elegance is for tailors'. From the other side, mid-twentieth century mathematicians were not much more hospitable about intrusions of physics, as we can see, for instance, in Hardy's well known little essay. Walter was one of the first, in the post-war years, to try to put things back together." -- from the Foreword by Elliott Lieb This book contains Thirring's scientific contributions to mathematical physics, statistical physics, general relativity, quantum field theory, and elementary particle theory from 1950 onward. The order of the papers within the various sections is chronological and reflects the development of the fields during the second half of this century. In some cases, Thirring returned to problems decades later when the tools for their solution had ripened. Each section contains introductory comments by Thirring, outlining his motivation for the work at that time.
Author : Shimshon A. Amitsur,Avinoam Mann
Publisher : American Mathematical Soc.
Page : 626 pages
File Size : 40,6 Mb
Release : 2001
Category : Mathematics
ISBN : 0821829246
This handsomely-bound volume presents selected papers written by S.A. Amitsur on various topics in algebra. The approximately 50 papers in the first volume deal with general ring theory and rings satisfying a polynomial identity. A sampling of topics includes algebras over infinite fields, commutative linear differential operators, a generalization of Hilbert's Nullstellensatz, and central embeddings in semi-simple rings. Two essays on Amitsur's work and a biography also are included. The volume is not indexed. c. Book News Inc.
Author : Evgeniĭ Borisovich Dynkin,Gary M. Seitz
Publisher : American Mathematical Soc.
Page : 834 pages
File Size : 51,7 Mb
Release : 2000
Category : Lie algebras
ISBN : 0821810650
Eugene Dynkin is a rare example of a contemporary mathematician who has achieved outstanding results in two quite different areas of research: algebra and probability. In both areas, his ideas constitute an essential part of modern mathematical knowledge and form a basis for further development. Although his last work in algebra was published in 1955, his contributions continue to influence current research in algebra and in the physics of elementary particles. His work in probability is part of both the historical and the modern development of the topic. This volume presents Dynkin's scientific contributions in both areas. Included are Commentary by recognized experts in the corresponding fields who describe the time, place, role, and impact of Dynkin's research and achievements. Biographical notes and the recollections of his students are also featured.This book is jointly published by the AMS and the International Press.
Author : Phillip Griffiths,Maurizio Cornalba
Publisher : American Mathematical Soc.
Page : 694 pages
File Size : 44,7 Mb
Release : 2003
Category : Mathematics
ISBN : 0821820869
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.
Author : John Willard Milnor
Publisher : American Mathematical Soc.
Page : 388 pages
File Size : 41,5 Mb
Release : 1994
Category : Algebra
ISBN : 9780821844755
Author : Ellis Robert Kolchin,Alexandru Buium,Phyllis Joan Cassidy
Publisher : American Mathematical Soc.
Page : 660 pages
File Size : 46,6 Mb
Release : 1999
Category : Mathematics
ISBN : 0821805428
The work of Joseph Fels Ritt and Ellis Kolchin in differential algebra paved the way for exciting new applications in constructive symbolic computation, differential Galois theory, the model theory of fields, and Diophantine geometry. This volume assembles Kolchin's mathematical papers, contributing solidly to the archive on construction of modern differential algebra. This collection of Kolchin's clear and comprehensive papers--in themselves constituting a history of the subject--is an invaluable aid to the student of differential algebra. In 1910, Ritt created a theory of algebraic differential equations modeled not on the existing transcendental methods of Lie, but rather on the new algebra being developed by E. Noether and B. van der Waerden. Building on Ritt's foundation, and deeply influenced by Weil and Chevalley, Kolchin opened up Ritt theory to modern algebraic geometry. In so doing, he led differential geometry in a new direction. By creating differential algebraic geometry and the theory of differential algebraic groups, Kolchin provided the foundation for a "new geometry" that has led to both a striking and an original approach to arithmetic algebraic geometry. Intriguing possibilities were introduced for a new language for nonlinear differential equations theory. The volume includes commentary by A. Borel, M. Singer, and B. Poizat. Also Buium and Cassidy trace the development of Kolchin's ideas, from his important early work on the differential Galois theory to his later groundbreaking results on the theory of differential algebraic geometry and differential algebraic groups. Commentaries are self-contained with numerous examples of various aspects of differential algebra and its applications. Central topics of Kolchin's work are discussed, presenting the history of differential algebra and exploring how his work grew from and transformed the work of Ritt. New directions of differential algebra are illustrated, outlining important current advances. Prerequisite to understanding the text is a background at the beginning graduate level in algebra, specifically commutative algebra, the theory of field extensions, and Galois theory.
Author : Phillip Griffiths
Publisher : Unknown
Page : 824 pages
File Size : 45,5 Mb
Release : 2003
Category : Mathematics
ISBN : UOM:39015062467520
Over the last four decades, Phillip Griffiths has been a central figure in mathematics. During this time, he made crucial contributions in several fields, including complex analysis, algebraic geometry, and differential systems. His books and papers are distinguished by a remarkably lucid style that invites the reader to understand not only the subject at hand, but also the connections among seemingly unrelated areas of mathematics. Even today, many of Griffiths' papers are used as a standard source on a subject. Another important feature of Griffiths' writings is that they often bring together classical and modern mathematics. The four parts of Selected Works--Analytic Geometry, Algebraic Geometry, Variations of Hodge Structures, and Differential Systems--are organized according to the subject matter and are supplemented by Griffiths' brief, but extremely illuminating, personal reflections on the mathematical content and the times in which they were produced. Griffiths' Selected Works provide the reader with a panoramic view of important and exciting mathematics during the second half of the 20th century.
Author : Benson Farb,David Gabai,Steven P. Kerckhoff
Publisher : American Mathematical Society
Page : 629 pages
File Size : 41,7 Mb
Release : 2023-06-08
Category : Mathematics
ISBN : 9781470474706
William Thurston's work has had a profound influence on mathematics. He connected whole mathematical subjects in entirely new ways and changed the way mathematicians think about geometry, topology, foliations, group theory, dynamical systems, and the way these areas interact. His emphasis on understanding and imagination in mathematical learning and thinking are integral elements of his distinctive legacy. This four-part collection brings together in one place Thurston's major writings, many of which are appearing in publication for the first time. Volumes I–III contain commentaries by the Editors. Volume IV includes a preface by Steven P. Kerckhoff. Volume III contains William Thurston's papers on dynamics and computer science, and papers written for general audiences. Additional miscellaneous papers are also included, such as his 1967 New College undergraduate thesis, which foreshadows his later work.
Author : Sigurdur Helgason
Publisher : American Mathematical Soc.
Page : 765 pages
File Size : 46,5 Mb
Release : 2009
Category : Mathematics
ISBN : 9780821847534
Collects the articles that cover invariant differential operators, geometric properties of solutions to differential equations on symmetric spaces, double fibrations in integral geometry, spherical functions and spherical transforms, duality for symmetric spaces, representation theory, and the Fourier transform on G/K.
Author : James Cogdell,Simon Gindikin,Peter Sarnak
Publisher : American Mathematical Society
Page : 852 pages
File Size : 49,6 Mb
Release : 2022-11-03
Category : Mathematics
ISBN : 9781470454944
This selection of papers of I. Piatetski-Shapiro represents almost 50 years of his mathematical activity. Included are many of his major papers in harmonic analysis, number theory, discrete groups, bounded homogeneous domains, algebraic geometry, automorphic forms, and automorphic $L$-functions. The papers in the volume are intended as a representative and accurate reflection of both the breadth and depth of Piatetski-Shapiro's work in mathematics. Some of his early works, such as those on the prime number theorem and on sets of uniqueness for trigonometric series, appear for the first time in English. Also included are several commentaries by his close colleagues. This volume offers an elegant representation of the contributions made by this renowned mathematician.
Author : Ilʹi︠a︡ Iosifovich Pi︠a︡tet︠s︡kiĭ-Shapiro
Publisher : American Mathematical Soc.
Page : 860 pages
File Size : 48,5 Mb
Release : 2000
Category : Mathematics
ISBN : 082180930X
This selection of papers of Ilya Piatetski-Shapiro represents almost 50 years of his mathematical activity. Included are many of his major papers in harmonic analysis, number theory, discrete groups, bounded homogeneous domains, algebraic geometry, automorphic forms, and automorphic L-functions. The papers in the volume are intended as a representative and accurate reflection of both the breadth and depth of Piatetski-Shapiro's work in mathematics. Some of his early works, such as those on the prime number theorem and on sets of uniqueness for trigonometric series, appear for the first time in English. Also included are several commentaries by his close colleagues. This volume offers an elegant representation of the contributions made by this renowned mathematician.
Author : William P. Thurston
Publisher : American Mathematical Society
Page : 337 pages
File Size : 49,8 Mb
Release : 2023-06-16
Category : Mathematics
ISBN : 9781470474744
William Thurston's work has had a profound influence on mathematics. He connected whole mathematical subjects in entirely new ways and changed the way mathematicians think about geometry, topology, foliations, group theory, dynamical systems, and the way these areas interact. His emphasis on understanding and imagination in mathematical learning and thinking are integral elements of his distinctive legacy. This four-part collection brings together in one place Thurston's major writings, many of which are appearing in publication for the first time. Volumes I–III contain commentaries by the Editors. Volume IV includes a preface by Steven P. Kerckhoff. Volume IV contains Thurston's highly influential, though previously unpublished, 1977–78 Princeton Course Notes on the Geometry and Topology of 3-manifolds. It is an indispensable part of the Thurston collection but can also be used on its own as a textbook or for self-study.
Author : I͡U. I. Manin
Publisher : American Mathematical Soc.
Page : 258 pages
File Size : 54,7 Mb
Release : 2007
Category : Mathematics
ISBN : 9780821843314
Includes essays that are grouped in three parts: Mathematics; Mathematics and Physics; and, Language, Consciousness, and Book reviews. This book is suitable for those interested in the philosophy and history of mathematics, physics, and linguistics.
Author : Frederick J. Almgren
Publisher : American Mathematical Soc.
Page : 638 pages
File Size : 52,8 Mb
Release : 1999
Category : Mathematics
ISBN : 0821810677
This volume offers a unique collection of some of the work of Frederick J. Almgren, Jr., the man most noted for defining the shape of geometric variational problems and for his role in founding The Geometry Center. Included in the volume are the following: a summary by Sheldon Chang of the famous 1700 page paper on singular sets of area-minimizing $m$-dimensional surfaces in $Rn$, a detailed summary by Brian White of Almgren's contributions to mathematics, his own announcements of several longer papers, important shorter papers, and memorable expository papers. Almgren's enthusiasm for the subject and his ability to locate mathematically beautiful problems that were "ready to be solved" attracted many students who further expanded the subject into new areas. Many of these former students are now known for the clarity of their expositions and for the beauty of the problems that they work on. As Almgren's former graduate student, wife, and colleague, Professor Taylor has compiled an important volume on an extraordinary mathematician. This collection presents a fine comprehensive view of the man's mathematical legacy
