Atiyah, Michael Francis 1929
Overview
Works:  208 works in 874 publications in 12 languages and 14,838 library holdings 

Genres:  Biography Conference papers and proceedings History Festschriften Educational films Internet videos Documentary television programs Biographical television programs 
Roles:  Author, Editor, Honoree, Contributor, Author of introduction, Speaker, Thesis advisor, Other, Interviewee, Creator, Dedicatee 
Classifications:  QA3, 510 
Publication Timeline
.
Most widely held works about
Michael Francis Atiyah
 Collected works by Michael Francis Atiyah( Book )
 The founders of index theory : reminiscences of and about Sir Michael Atiyah, Raoul Bott, Friedrich Hirzebruch, and I.M. Singer( Book )
 President's dialogue with Sir Michael Atiyah by Michael Francis Atiyah( Visual )
 Atiyah, Michael Francis : Mathematics( )
Most widely held works by
Michael Francis Atiyah
Introduction to commutative algebra by
Michael Francis Atiyah(
Book
)
69 editions published between 1969 and 2016 in 8 languages and held by 975 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
69 editions published between 1969 and 2016 in 8 languages and held by 975 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
Ktheory by
Michael Francis Atiyah(
Book
)
61 editions published between 1964 and 2010 in 4 languages and held by 652 WorldCat member libraries worldwide
61 editions published between 1964 and 2010 in 4 languages and held by 652 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 617 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
28 editions published between 1990 and 2004 in English and Undetermined and held by 617 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
)
48 editions published between 1997 and 2016 in 3 languages and held by 582 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. The restriction to 40 years is of marginal significance, since most mathematicians have made their mark long before this age
48 editions published between 1997 and 2016 in 3 languages and held by 582 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. The restriction to 40 years is of marginal significance, since most mathematicians have made their mark long before this age
Lectures in modern analysis and applications by
C. T Taam(
Book
)
25 editions published between 1967 and 1970 in 3 languages and held by 461 WorldCat member libraries worldwide
A Lecture Series in Modern Analysis and Applications was sponsored by the Consortium of American, Catholic, Georgetown, George Washington and Howard Universities, of the District of Columbia, the University of Maryland, College Park, and the Air Force Office of Scientific Research, in the greater Washington, D.C. area, during the period Fall, 1967 through Spring 1969. The series consisted of 8 sessions of 3 lectures each. Each session was devoted to an active basic area of contemporary analysis which is important in application or shows potential applications. Each lecture presented a survey and a critical review of certain aspects of that area, with emphasis on new results, open problems and applications. This volume, the third and final one of the series, contains five lectures from the seventh and eighth sessions, which were devoted to modern harmonic analysis and applications, and integration in function spaces and applications. The lectures concern the LittlewoodPaley Theory, the Theory of Automorphic Forms, Quantization and Unitary Representations, Random Linear Functionals, and the Absolute Continuity of Stochastic Processes. (Author)
25 editions published between 1967 and 1970 in 3 languages and held by 461 WorldCat member libraries worldwide
A Lecture Series in Modern Analysis and Applications was sponsored by the Consortium of American, Catholic, Georgetown, George Washington and Howard Universities, of the District of Columbia, the University of Maryland, College Park, and the Air Force Office of Scientific Research, in the greater Washington, D.C. area, during the period Fall, 1967 through Spring 1969. The series consisted of 8 sessions of 3 lectures each. Each session was devoted to an active basic area of contemporary analysis which is important in application or shows potential applications. Each lecture presented a survey and a critical review of certain aspects of that area, with emphasis on new results, open problems and applications. This volume, the third and final one of the series, contains five lectures from the seventh and eighth sessions, which were devoted to modern harmonic analysis and applications, and integration in function spaces and applications. The lectures concern the LittlewoodPaley Theory, the Theory of Automorphic Forms, Quantization and Unitary Representations, Random Linear Functionals, and the Absolute Continuity of Stochastic Processes. (Author)
The geometry and dynamics of magnetic monopoles by
Michael Francis Atiyah(
Book
)
19 editions published between 1988 and 2016 in English and Russian and held by 447 WorldCat member libraries worldwide
Systems governed by nonlinear 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 threedimensional 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 nonlinear 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 printondemand technology to again make available previously outofprint 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
19 editions published between 1988 and 2016 in English and Russian and held by 447 WorldCat member libraries worldwide
Systems governed by nonlinear 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 threedimensional 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 nonlinear 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 printondemand technology to again make available previously outofprint 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
)
24 editions published between 1971 and 1974 in 3 languages and held by 440 WorldCat member libraries worldwide
24 editions published between 1971 and 1974 in 3 languages and held by 440 WorldCat member libraries worldwide
Seminar on the AtiyahSinger index theorem by
Richard S Palais(
Book
)
14 editions published between 1965 and 1985 in English and held by 438 WorldCat member libraries worldwide
14 editions published between 1965 and 1985 in English and held by 438 WorldCat member libraries worldwide
Representation theory of Lie groups : proceedings of the SRC/LMS Research Symposium on Representations of Lie Groups, Oxford,
28 June15 July 1977 by
Michael Francis Atiyah(
Book
)
22 editions published between 1977 and 1980 in English and held by 424 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 nonspecialists. 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
22 editions published between 1977 and 1980 in English and held by 424 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 nonspecialists. 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
)
11 editions published in 1991 in English and German and held by 287 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 lifelong support of mathematics
11 editions published in 1991 in English and German and held by 287 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 lifelong 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 220 WorldCat member libraries worldwide
12 editions published in 1987 in English and Undetermined and held by 220 WorldCat member libraries worldwide
Sir Isaac Newton : the Gravity of Genius(
Visual
)
5 editions published between 2004 and 2012 in English and held by 215 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
5 editions published between 2004 and 2012 in English and held by 215 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 191 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
4 editions published in 2015 in English and held by 191 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 Lehigh university (Betlemme)(
Book
)
8 editions published between 2000 and 2002 in English and held by 145 WorldCat member libraries worldwide
8 editions published between 2000 and 2002 in English and held by 145 WorldCat member libraries worldwide
Geometry of YangMills 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
15 editions published between 1979 and 1995 in English and Italian and held by 139 WorldCat member libraries worldwide
Vector fields on manifolds by
Michael Francis Atiyah(
Book
)
9 editions published between 1970 and 1974 in 4 languages and held by 139 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 2planes (that is, an oriented 2dimensional subbundle 0/ the tangent vector bundle)
9 editions published between 1970 and 1974 in 4 languages and held by 139 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 2planes (that is, an oriented 2dimensional subbundle 0/ the tangent vector bundle)
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 136 WorldCat member libraries worldwide
12 editions published in 1964 in English and held by 136 WorldCat member libraries worldwide
Collected papers of V.K. Patodi by
V. K Patodi(
Book
)
8 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 19901995. 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 pathbreaking papers on the McKeanSinger conjecture and the analytic proof of RiemannRochHirzebruch theorem for Kahler manifolds. It also contains his celebrated joint papers on the index theorem and the AtiyahPatodiSinger invariant
8 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 19901995. 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 pathbreaking papers on the McKeanSinger conjecture and the analytic proof of RiemannRochHirzebruch theorem for Kahler manifolds. It also contains his celebrated joint papers on the index theorem and the AtiyahPatodiSinger invariant
Physics and mathematics of strings : proceedings of a Royal Society Discussion Meeting, held on 8 and 9 December 1988 by
Royal Society (Great Britain)(
Book
)
14 editions published in 1989 in English and held by 100 WorldCat member libraries worldwide
14 editions published in 1989 in English and held by 100 WorldCat member libraries worldwide
Collected works by
Michael Francis Atiyah(
Book
)
6 editions published between 1988 and 2011 in English and held by 12 WorldCat member libraries worldwide
6 editions published between 1988 and 2011 in English and held by 12 WorldCat member libraries worldwide
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Related Identities
 Iagolnitzer, Daniel Author Editor
 Macdonald, I. G. (Ian Grant)
 Institute for Advanced Study (Princeton, N.J.)
 Dyson, Freeman Contributor
 Goddard, Peter Contributor
 Levy, Serge JF Contributor
 Fulcher, Jane Contributor
 Scott, Joan Wallach Contributor
 David, Chantal Contributor
 Lepenies, Wolf Contributor
Useful Links
Associated Subjects
Algebraic topology Algebraic varieties ArtMathematics Atiyah, Michael Francis, AtiyahSinger index theorem Bott, Raoul, Calculus Commutative algebra Commutative rings Complexes Differential equations, HyperbolicNumerical solutions Differential topology Elliptic operators Fields Prizes Field theory (Physics) Functional analysis Gauge fields (Physics) Geometry Geometry, Algebraic Geometry, Differential Gravity Great Britain Hirzebruch, Friedrich Homology theory Index theory (Mathematics) Inertia (Mechanics) Institute for Advanced Study (Princeton, N.J.) Knot theory Ktheory Lie groups Magnetic monopolesMathematics Manifolds (Mathematics) Mathematical analysis Mathematicians Mathematics Mean value theorems (Calculus) Mechanics Motion MusicPhilosophy and aesthetics Newton, Isaac, Physical sciences Physicists Principia (Newton, Isaac) Representations of Lie groups Rings (Algebra) Scientists Singer, I. M.(Isadore Manuel), Solitons Vector analysis Vector bundles
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 matemático británico
Michael Atiyah matematico britannico
Michael Atiyah mathématicien anglais
Michael F. Atiyah
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
مايكل عطية
مائیکل آتیاہ
مایکل آتیا ریاضیدان بریتانیایی
মাইকেল ফ্রান্সিস আটিয়া
마이클 아티야
アティヤ, M
アティヤ, マイケル・F
マイケル・アティヤ
米高·阿蒂亞
迈克尔·阿蒂亚
麥可·阿蒂亞
Languages
English
(379)
Spanish (13)
Russian (8)
Italian (7)
German (4)
Japanese (2)
French (1)
Chinese (1)
Turkish (1)
Polish (1)
Multiple languages (1)
Miscellaneous languages (1)
Spanish (13)
Russian (8)
Italian (7)
German (4)
Japanese (2)
French (1)
Chinese (1)
Turkish (1)
Polish (1)
Multiple languages (1)
Miscellaneous languages (1)
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