WorldCat Identities

Atiyah, Michael Francis 1929-

Publication Timeline
Most widely held works by Michael Francis Atiyah
Introduction to commutative algebra by Michael Francis Atiyah( Book )

50 editions published between 1969 and 2016 in English and Italian and held by 889 WorldCat member libraries worldwide

This book grew out of a course of lectures given to third year undergraduates at Oxford University and it has the modest aim of producing a rapid introduction to the subject. It is designed to be read
K-theory by Michael Francis Atiyah( Book )

75 editions published between 1964 and 2014 in 4 languages and held by 704 WorldCat member libraries worldwide

The geometry and physics of knots by Michael Francis Atiyah( Book )

28 editions published between 1990 and 2004 in English and Undetermined and held by 623 WorldCat member libraries worldwide

These notes arise from lectures presented in Florence under the auspices of the Accadamia dei Lincee and deal with an area that lies at the crossroads of mathematics and physics. The material presented here rests primarily on the pioneering work of Vaughan Jones and Edward Witten relating polynomial invariants of knots to a topological quantum field theory in 2+1 dimensions. Professor Atiyah here presents an introduction to Witten's ideas from the mathematical point of view. The book will be essential reading for all geometers and gauge theorists as an exposition of new and interesting ideas in a rapidly developing area
Fields medallists' lectures by Michael Francis Atiyah( Book )

39 editions published between 1997 and 2005 in 3 languages and held by 521 WorldCat member libraries worldwide

Although the Fields Medal does not have the same public recognition as the Nobel Prizes, they share a similar intellectual standing. It is restricted to one field - that of mathematics - and an age limit of 40 has become an accepted tradition. Mathematics has in the main been interpreted as pure mathematics, and this is not so unreasonable since major contributions in some applied areas can be (and have been) recognized with Nobel Prizes. A list of Fields medallists and their contributions provides a bird's-eye view of mathematics over the past 60 years. It highlights the areas in which, at various times, greatest progress has been made. This volume does not pretend to be comprehensive, nor is it a historical document. On the other hand, it presents contributions from Fields Medallists and so provides a highly interesting and varied picture. The second edition of Fields Medallists' Lectures features additional contributions from the following Medallists: Kunihiko Kodaira (1954), Richard E. Borcherds (1998), William T. Gowers (1998), Maxim Kontsevich (1998), Curtis T. McMullen (1998) and Vladimir Voevodsky (2002)
Lectures in modern analysis and applications by C. T Taam( Book )

25 editions published between 1967 and 1970 in 3 languages and held by 466 WorldCat member libraries worldwide

The geometry and dynamics of magnetic monopoles by Michael Francis Atiyah( Book )

18 editions published between 1988 and 2016 in English and held by 444 WorldCat member libraries worldwide

Systems governed by non-linear differential equations are of fundamental importance in all branches of science, but our understanding of them is still extremely limited. In this book a particular system, describing the interaction of magnetic monopoles, is investigated in detail. The use of new geometrical methods produces a reasonably clear picture of the dynamics for slowly moving monopoles. This picture clarifies the important notion of solitons, which has attracted much attention in recent years. The soliton idea bridges the gap between the concepts of "fields" and "particles," and is here explored in a fully three-dimensional context. While the background and motivation for the work comes from physics, the presentation is mathematical.This book is interdisciplinary and addresses concerns of theoretical physicists interested in elementary particles or general relativity and mathematicians working in analysis or geometry. The interaction between geometry and physics through non-linear partial differential equations is now at a very exciting stage, and the book is a contribution to this activity.Originally published in 1988.The Princeton Legacy Library uses the latest print-on-demand technology to again make available previously out-of-print books from the distinguished backlist of Princeton University Press. These paperback editions preserve the original texts of these important books while presenting them in durable paperback editions. The goal of the Princeton Legacy Library is to vastly increase access to the rich scholarly heritage found in the thousands of books published by Princeton University Press since its founding in 1905
Elliptic operators and compact groups by Michael Francis Atiyah( Book )

22 editions published in 1974 in 3 languages and held by 443 WorldCat member libraries worldwide

Seminar on the Atiyah-Singer index theorem by Richard S Palais( Book )

13 editions published between 1965 and 1985 in English and held by 440 WorldCat member libraries worldwide

Representation theory of Lie groups : proceedings of the SRC/LMS Research Symposium on Representations of Lie Groups, Oxford, 28 June-15 July 1977 by Michael Francis Atiyah( Book )

22 editions published between 1977 and 1980 in English and held by 425 WorldCat member libraries worldwide

Lie groups and their representations occupy an important place in mathematics with applications in such diverse fields as differential geometry, number theory, differential equations and physics. In 1977 a symposium was held in Oxford to introduce this rapidly developing and expanding subject to non-specialists. This volume contains the lectures of ten distinguished mathematicians designed to provide the reader with a deeper understanding of the fundamental theory and appreciate the range of results. This volume contains much to interest mathematicians and theoretical physicists from advanced undergraduate level upwards
Miscellanea mathematica by Michael Francis Atiyah( Book )

12 editions published in 1991 in English and German and held by 288 WorldCat member libraries worldwide

Mathematics has a certain mystique, for it is pure and ex- act, yet demands remarkable creativity. This reputation is reinforced by its characteristic abstraction and its own in- dividual language, which often disguise its origins in and connections with the physical world. Publishing mathematics, therefore, requires special effort and talent. Heinz Gotze, who has dedicated his life to scientific pu- blishing, took up this challenge with his typical enthusi- asm. This Festschrift celebrates his invaluable contribu- tions to the mathematical community, many of whose leading members he counts among his personal friends. The articles, written by mathematicians from around the world and coming from diverse fields, portray the important role of mathematics in our culture. Here, the reflections of important mathematicians, often focused on the history of mathematics, are collected, in recognition of Heinz Gotze's life-long support of mathematics
Vector bundles on algebraic varieties : papers presented at the Bombay Colloquium 1984 by International Colloquium on Vector Bundles on Algebraic Varieties( Book )

12 editions published in 1987 in English and Undetermined and held by 219 WorldCat member libraries worldwide

Sir Isaac Newton : the Gravity of Genius( Visual )

6 editions published between 2002 and 2012 in English and held by 213 WorldCat member libraries worldwide

By the age of 23, he had laid the foundations for calculus, the laws of gravity, motion and inertia, and begun experiments on light. His major work is called 'The Principia'. Isaac Newton has been called the Father of Modern Science. His incredible body of work represents arguably the greatest contribution to science ever made by an individual. But despite living at the vibrant center of an inspired social scene, his personal life was marked by loneliness. Examine the many discoveries and private fears of this remarkable man
Art in the life of mathematicians( Book )

4 editions published in 2015 in English and held by 208 WorldCat member libraries worldwide

Why are mathematicians drawn to art? How do they perceive it? What motivates them to pursue excellence in music or painting? Do they view their art as a conveyance for their mathematics or an escape from it? What are the similarities between mathematical talent and creativity and their artistic equivalents? What are the differences? Can a theatrical play or a visual image capture the beauty and excitement of mathematics? Some of the world's top mathematicians are also accomplished artists: musicians, photographers, painters, dancers, writers, filmmakers. In this volume, they share some of their work and reflect on the roles that mathematics and art have played in their lives. They write about creativity, communication, making connections, negotiating successes and failures, and navigating the vastly different professional worlds of art and mathematics.--From publisher description
Surveys in differential geometry : papers dedicated to Atiyah, Bott, Hirzebruch, and Singer by Conference on Geometry and Topology( Book )

13 editions published between 2000 and 2002 in English and held by 207 WorldCat member libraries worldwide

Vector fields on manifolds by Michael Francis Atiyah( Book )

10 editions published between 1970 and 1974 in 4 languages and held by 145 WorldCat member libraries worldwide

This paper is a contribution to the topological study of vector fields on manifolds. In particular we shall be concerned with the problems of exist ence of r linearly independent vector fields. For r = 1 the classical result of H. Hopf asserts that the vanishing of the Euler characteristic is the necessary and sufficient condition, and our results will give partial extens ions of Hopf's theorem to the case r> 1. Arecent article by E. Thomas [10] gives a good survey of work in this general area. Our approach to these problems is based on the index theory of elliptic differential operators and is therefore rather different from the standard topological approach. Briefly speaking, what we do is to observe that certain invariants of a manifold (Euler characteristic, signature, etc.) are indices of elliptic operators (see [5]) and the existence of a certain number of vector fields implies certain symmetry conditions for these operators and hence corresponding results for their indices. In this way we obtain certain necessary conditions for the existence of vector fields and, more generally, for the existence of fields of tangent planes. For example, one of our results is the following THEOREM (1. 1). Let X be a compact oriented smooth manifold 0/ dimension 4 q, and assume that X possesses a tangent fteld of oriented 2-planes (that is, an oriented 2-dimensional sub-bundle 0/ the tangent vector bundle)
Geometry of Yang-Mills fields by Michael Francis Atiyah( Book )

15 editions published between 1979 and 1995 in English and Italian and held by 139 WorldCat member libraries worldwide

Notes on the Lefschetz fixed point theorem for elliptic complexes by Michael Francis Atiyah( Book )

12 editions published in 1964 in English and held by 137 WorldCat member libraries worldwide

Collected works by Michael Francis Atiyah( Book )

13 editions published between 1987 and 2011 in English and held by 115 WorldCat member libraries worldwide

Collected papers of V.K. Patodi by V. K Patodi( Book )

6 editions published in 1996 in English and held by 111 WorldCat member libraries worldwide

Sir Michael Atiyah is currently the Master of Trinity College Cambridge and Director of the Issac Newton Institute for Mathematical Sciences. After initial studies in Cambridge he moved to Oxford where he spent the next thirty years, except for a four year stay at the Institute for Advanced Study in Princeton. He has worked in many fields of mathematics including geometry, topology, differential equations and theoretical physics. He received the Fields Medal in Moscow in 1966. He was elected a Fellow of the Royal Society in 1962 and served as President from 1990-1995. Vijay Kumar Patodi was a brilliant Indian mathematicians who made, during his short life, fundamental contributions to the analytic proof of the index theorem and to the study of differential geometric invariants of manifolds. This set of collected papers edited by Prof M. Atiyah and Prof Narasimhan includes his path-breaking papers on the McKean-Singer conjecture and the analytic proof of Riemann-Roch-Hirzebruch theorem for Kahler manifolds. It also contains his celebrated joint papers on the index theorem and the Atiyah-Patodi-Singer invariant
The founders of index theory : reminiscences of and about Sir Michael Atiyah, Raoul Bott, Friedrich Hirzebruch, and I.M. Singer( Book )

1 edition published in 2009 in English and held by 5 WorldCat member libraries worldwide

"Index Theory is one of the most exciting and consequential accomplishments of twentieth-century mathematics. The Founders of Index Theory contemplates the four great mathematicians who developed index theory - Sir Michael Atiyah, Raoul Bott, Friedrich Hirzebruch, and I.M. Singer - through the eyes of their students, collaborators and colleagues, their friends and family members, and themselves." "In addition to their own essays and correspondence - of historical importance - this volume presents a variety of material of a decidedly personal as well as compelling mathematical nature, written by some of their most notable students and long-time collaborators, including such leading current figures in mathematics and physics as Simon Donaldson, Edward Witten, and S.T. Yau. In these writings, one perceives the expansive influence of their work across various fields of mathematics and into theoretical physics." "At a time when the long and illustrious careers of Atiyah, Hirzebruch, and Singer are being recognized with birthday celebrations at Edinburgh, in Europe, and in Massachusetts, this second edition of Founders of Index Theory remembers the late and much beloved Raoul Bott - in the affectionate words of those three men, as well as family members and long-time friends and colleagues. What emerges is the portrait of a compelling mathematical mind informed by a warm and magnetic personality that was both a joy and inspiration to those who knew him." "This volume includes a generous collection of color and black-and-white photographs - many rarely seen - of the four principal figures together with their family, friends, and colleagues. These include numerous images of Bott dating from his early childhood to his last years at Harvard University." "The Founders of Index Theory, Second Edition is a valuable portrayal of four men who transformed mathematics in a profound manner, and who belong to a class of researchers whose interest and influence transcend the conventional boundaries of mathematical fields."--Jacket
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Introduction to commutative algebra
Alternative Names
At'â, M.

Atʹi︠a︡, M.

Atʹi︠a︡, M. 1929-

Atiyah M.

Atiyah M. 1929-

Atiyah, M. F.

Atiyah, M.F. 1929-

Atiyah, M. F. 1929- Sir

Atiyah, M. F. (Michael Francis)

Atiyah, M.F. (Michael Francis), 1929-

Atiyah, M. F. (Michael Francis), Sir, 1929-

Atiyah, Michael.

Atiyah,Michael, 1929-

Atiyah, Michael F.

Atiyah, Michael F. 1929-

Atiyah, Michael Francis

Atiyah Michael Francis 1929-....

Atiyah, Michael (Michael Francis), 1929-

At'ja, M. 1929-

Michael Atiyah britisk matematikar

Michael Atiyah britisk matematiker

Michael Atiyah Brits wiskundige

Michael Atiyah brytyjski matematyk

Michael Atiyah matemàtic britànic

Michael Atiyah matematician britanic

Michael Atiyah matemático británico

Michael Atiyah matematico britannico

Michael Atiyah mathématicien anglais

Michael F. Atiyah

Michael Francis Atiyah brit matematikus

Michael Francis Atiyah britisk matematiker

Michael Francis Atiyah brittisk matematiker

Michael Francis Atiyah englischer Mathematiker

Μάικλ Φράνσις Ατίγια

Атья, М..

Атья, М 1929-

Атья, М. (Майкл Френсис), 1929-

Майкл Атія

Майкл Фрэнсис Атья

מייקל עטיה

מייקל עטיה מתמטיקאי בריטי

مايكل عطية

مايكل عطية رياضياتي بريطاني

مائیکل آتیاہ

مایکل آتیا ریاضی‌دان بریتانیایی

মাইকেল ফ্রান্সিস আটিয়া

মাইকেল ফ্রান্সিস আটিয়া ব্রিটিশ গণিতবিদ

မိုက်ကယ် အာတီးယား

마이클 아티야

アティヤ, M

アティヤ, マイケル・F





K-theoryThe geometry and physics of knotsFields medallists' lecturesLectures in modern analysis and applicationsElliptic operators and compact groupsSeminar on the Atiyah-Singer index theoremRepresentation theory of Lie groups : proceedings of the SRC/LMS Research Symposium on Representations of Lie Groups, Oxford, 28 June-15 July 1977Collected works