Manin, I︠U︡. I.
Overview
Works:  255 works in 798 publications in 4 languages and 10,854 library holdings 

Genres:  Conference papers and proceedings History 
Roles:  Author, Editor, Honoree, Author of introduction, Translator, Other, Collector, Adapter, Contributor, Dedicatee, Commentator, Interviewee 
Publication Timeline
.
Most widely held works about
I︠U︡. I Manin
 Late style : Yuri Ivanovich Manin looking back on a life in mathematics( Visual )
 Late style : Yuri I. Manin looking back on a life in mathematics( Visual )
 My life is not a conveyor belt by I︠U︡. I Manin( )
Most widely held works by
I︠U︡. I Manin
Introduction to modern number theory : fundamental problems, ideas and theories by
Yu. I Manin(
)
28 editions published between 2005 and 2010 in English and held by 942 WorldCat member libraries worldwide
"Introduction to Modern Number Theory surveys from a unified point of view both the modern state and the trends of continuing development of various branches of number theory. Motivated by elementary problems, the central ideas of modern theories are exposed. Some topics covered include nonAbelian generalizations of class field theory, recursive computability and Diophantine equations, zeta and Lfunctions."Jacket
28 editions published between 2005 and 2010 in English and held by 942 WorldCat member libraries worldwide
"Introduction to Modern Number Theory surveys from a unified point of view both the modern state and the trends of continuing development of various branches of number theory. Motivated by elementary problems, the central ideas of modern theories are exposed. Some topics covered include nonAbelian generalizations of class field theory, recursive computability and Diophantine equations, zeta and Lfunctions."Jacket
Cubic forms; algebra, geometry, arithmetic by
I︠U︡. I Manin(
Book
)
43 editions published between 1972 and 2014 in 4 languages and held by 828 WorldCat member libraries worldwide
Since this book was first published in English, there has been important progress in a number of related topics. The class of algebraic varieties close to the rational ones has crystallized as a natural domain for the methods developed and expounded in this volume. For this revised edition, the original text has been left intact (except for a few corrections) and has been brought up to date by the addition of an Appendix and recent references. The Appendix sketches some of the most essential new results, constructions and ideas, including the solutions of the Luroth and Zariski problems
43 editions published between 1972 and 2014 in 4 languages and held by 828 WorldCat member libraries worldwide
Since this book was first published in English, there has been important progress in a number of related topics. The class of algebraic varieties close to the rational ones has crystallized as a natural domain for the methods developed and expounded in this volume. For this revised edition, the original text has been left intact (except for a few corrections) and has been brought up to date by the addition of an Appendix and recent references. The Appendix sketches some of the most essential new results, constructions and ideas, including the solutions of the Luroth and Zariski problems
Methods of homological algebra by
Sergei I Gelfand(
Book
)
31 editions published between 1996 and 2011 in English and German and held by 705 WorldCat member libraries worldwide
"Homological algebra first arose as a language for describing topological prospects of geometrical objects. As with every successful language it quickly expanded its coverage and sematics, and its contemporary applications are many and diverse. This modern approcah to homological algebra, by two leading writers in the field, is based on the sytematic use of the language and ideas of derived categories and derived functors. Relations with standard cohomology theory (sheaf cohomology, spectral sequences, etc.) are described. In most cases complete proofs are given. Basic concepts and results of homotopical algebra are also presented. The book addresses people who want to learn a modern approach to homological algebra and to use it in their work. For the second edition the authors have made numerous corrections"Page 4 of cover
31 editions published between 1996 and 2011 in English and German and held by 705 WorldCat member libraries worldwide
"Homological algebra first arose as a language for describing topological prospects of geometrical objects. As with every successful language it quickly expanded its coverage and sematics, and its contemporary applications are many and diverse. This modern approcah to homological algebra, by two leading writers in the field, is based on the sytematic use of the language and ideas of derived categories and derived functors. Relations with standard cohomology theory (sheaf cohomology, spectral sequences, etc.) are described. In most cases complete proofs are given. Basic concepts and results of homotopical algebra are also presented. The book addresses people who want to learn a modern approach to homological algebra and to use it in their work. For the second edition the authors have made numerous corrections"Page 4 of cover
Topics in noncommutative geometry by
I︠U︡ I Manin(
Book
)
15 editions published between 1991 and 2016 in English and Undetermined and held by 689 WorldCat member libraries worldwide
There is a wellknown correspondence between the objects of algebra and geometry: a space gives rise to a function algebra; a vector bundle over the space corresponds to a projective module over this algebra; cohomology can be read off the de Rham complex; and so on. In this book Yuri Manin addresses a variety of instances in which the application of commutative algebra cannot be used to describe geometric objects, emphasizing the recent upsurge of activity in studying noncommutative rings as if they were function rings on "noncommutative spaces." Manin begins by summarizing and giving examples of some of the ideas that led to the new concepts of noncommutative geometry, such as Connes' noncommutative de Rham complex, supergeometry, and quantum groups. He then discusses supersymmetric algebraic curves that arose in connection with superstring theory; examines superhomogeneous spaces, their Schubert cells, and superanalogues of Weyl groups; and provides an introduction to quantum groups. This book is intended for mathematicians and physicists with some background in Lie groups and complex geometry. Originally published in 1991. 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
15 editions published between 1991 and 2016 in English and Undetermined and held by 689 WorldCat member libraries worldwide
There is a wellknown correspondence between the objects of algebra and geometry: a space gives rise to a function algebra; a vector bundle over the space corresponds to a projective module over this algebra; cohomology can be read off the de Rham complex; and so on. In this book Yuri Manin addresses a variety of instances in which the application of commutative algebra cannot be used to describe geometric objects, emphasizing the recent upsurge of activity in studying noncommutative rings as if they were function rings on "noncommutative spaces." Manin begins by summarizing and giving examples of some of the ideas that led to the new concepts of noncommutative geometry, such as Connes' noncommutative de Rham complex, supergeometry, and quantum groups. He then discusses supersymmetric algebraic curves that arose in connection with superstring theory; examines superhomogeneous spaces, their Schubert cells, and superanalogues of Weyl groups; and provides an introduction to quantum groups. This book is intended for mathematicians and physicists with some background in Lie groups and complex geometry. Originally published in 1991. 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
Gauge field theory and complex geometry by
I︠U︡. I Manin(
Book
)
26 editions published between 1988 and 2011 in English and German and held by 675 WorldCat member libraries worldwide
Introduction. Geometrical Stuctures in Field Theory  1. Grassmannians, Connections, and Integrability  2. The RadonPenrose Transform  3. Introduction to Superalgebra  4. Introduction to Supergeometry  5. Geometric Structures of Supersymmetry and Gravitation  Recent Developments
26 editions published between 1988 and 2011 in English and German and held by 675 WorldCat member libraries worldwide
Introduction. Geometrical Stuctures in Field Theory  1. Grassmannians, Connections, and Integrability  2. The RadonPenrose Transform  3. Introduction to Superalgebra  4. Introduction to Supergeometry  5. Geometric Structures of Supersymmetry and Gravitation  Recent Developments
Mathematics and physics by
I︠U︡. I Manin(
Book
)
22 editions published between 1979 and 1983 in English and Russian and held by 637 WorldCat member libraries worldwide
22 editions published between 1979 and 1983 in English and Russian and held by 637 WorldCat member libraries worldwide
Ktheory, arithmetic and geometry : seminar, Moscow University, 19841986 by
Yuri I Manin(
Book
)
27 editions published between 1987 and 2006 in English and held by 616 WorldCat member libraries worldwide
This volume of research papers is an outgrowth of the Manin Seminar at Moscow University, devoted to Ktheory, homological algebra and algebraic geometry. The main topics discussed include additive Ktheory, cyclic cohomology, mixed Hodge structures, theory of Virasoro and NeveuSchwarz algebras
27 editions published between 1987 and 2006 in English and held by 616 WorldCat member libraries worldwide
This volume of research papers is an outgrowth of the Manin Seminar at Moscow University, devoted to Ktheory, homological algebra and algebraic geometry. The main topics discussed include additive Ktheory, cyclic cohomology, mixed Hodge structures, theory of Virasoro and NeveuSchwarz algebras
A course in mathematical logic for mathematicians by
Yurii Ivanovich Manin(
)
20 editions published between 2010 and 2012 in English and held by 612 WorldCat member libraries worldwide
"A Course in Mathematical Logic for Mathematicians, Second Edition offers a straightforward introduction to modern mathematical logic that will appeal to the intuition of working mathematicians. The book begins with an elementary introduction to formal languages and proceeds to a discussion of proof theory. It then presents several highlights of 20th century mathematical logic, including theorems of Godel and Tarski, and Cohen's theorem on the independence of the continuum hypothesis. A unique feature of the text is a discussion of quantum logic." "The exposition then moves to a discussion of computability theory that is based on the notion of recursive functions and stresses numbertheoretic connections. The text presents a complete proof of the theorem of DavisPutnamRobinsonMatiyasevich as well as a proof of Higman's theorem on recursive groups. Kolmogorov complexity is also treated."Jacket
20 editions published between 2010 and 2012 in English and held by 612 WorldCat member libraries worldwide
"A Course in Mathematical Logic for Mathematicians, Second Edition offers a straightforward introduction to modern mathematical logic that will appeal to the intuition of working mathematicians. The book begins with an elementary introduction to formal languages and proceeds to a discussion of proof theory. It then presents several highlights of 20th century mathematical logic, including theorems of Godel and Tarski, and Cohen's theorem on the independence of the continuum hypothesis. A unique feature of the text is a discussion of quantum logic." "The exposition then moves to a discussion of computability theory that is based on the notion of recursive functions and stresses numbertheoretic connections. The text presents a complete proof of the theorem of DavisPutnamRobinsonMatiyasevich as well as a proof of Higman's theorem on recursive groups. Kolmogorov complexity is also treated."Jacket
A course in mathematical logic by
Yuri I Manin(
Book
)
21 editions published between 1977 and 1991 in English and Undetermined and held by 579 WorldCat member libraries worldwide
This book is a text of mathematical logic on a sophisticated level, presenting the reader with several of the most significant discoveries of the last 10 to 15 years, including the independence of the continuum hypothesis, the Diophantine nature of enumerable sets and the impossibility of finding an algorithmic solution for certain problems. The book contains the first textbook presentation of Matijasevic's result. The central notions are provability and computability; the emphasis of the presentation is on aspects of the theory which are of interest to the working mathematician. Many of the approaches and topics covered are not standard parts of logic courses; they include a discussion of the logic of quantum mechanics, Goedel's constructible sets as a subclass of von Neumann's universe, the Kolmogorov theory of complexity. Feferman's theorem on Goedel formulas as axioms and Highman's theorem on groups defined by enumerable sets of generators and relations. A number of informal digressions concerned with psychology, linguistics, and common sense logic should interest students of the philosophy of science or the humanities
21 editions published between 1977 and 1991 in English and Undetermined and held by 579 WorldCat member libraries worldwide
This book is a text of mathematical logic on a sophisticated level, presenting the reader with several of the most significant discoveries of the last 10 to 15 years, including the independence of the continuum hypothesis, the Diophantine nature of enumerable sets and the impossibility of finding an algorithmic solution for certain problems. The book contains the first textbook presentation of Matijasevic's result. The central notions are provability and computability; the emphasis of the presentation is on aspects of the theory which are of interest to the working mathematician. Many of the approaches and topics covered are not standard parts of logic courses; they include a discussion of the logic of quantum mechanics, Goedel's constructible sets as a subclass of von Neumann's universe, the Kolmogorov theory of complexity. Feferman's theorem on Goedel formulas as axioms and Highman's theorem on groups defined by enumerable sets of generators and relations. A number of informal digressions concerned with psychology, linguistics, and common sense logic should interest students of the philosophy of science or the humanities
Algebra, arithmetic, and geometry : in honor of Yu. I. Manin by
Yuri Tschinkel(
)
28 editions published between 2009 and 2011 in English and held by 572 WorldCat member libraries worldwide
The two volumes of "Algebra, Arithmetic, and Geometry: In Honor of Y.I. Manin" are composed of invited expository articles and extensions detailing Manin's contributions to the subjects, and are in celebration of his 70th birthday. The wellrespected and distinguished contributors include: Behrend, Berkovich, Bost, Bressler, Calaque, Carlson, ChambertLoir, Colombo, Connes, Consani, Dabrowski, Deninger, Dolgachev, Donaldson, Ekedahl, Elsenhans, Enriques, Etingof, Fock, Friedlander, Geemen, Getzler, Goncharov, Harris, Iskovskikh, Jahnel, Kaledin, Kapranov, Katz, Kaufmann, Kollar, Kont
28 editions published between 2009 and 2011 in English and held by 572 WorldCat member libraries worldwide
The two volumes of "Algebra, Arithmetic, and Geometry: In Honor of Y.I. Manin" are composed of invited expository articles and extensions detailing Manin's contributions to the subjects, and are in celebration of his 70th birthday. The wellrespected and distinguished contributors include: Behrend, Berkovich, Bost, Bressler, Calaque, Carlson, ChambertLoir, Colombo, Connes, Consani, Dabrowski, Deninger, Dolgachev, Donaldson, Ekedahl, Elsenhans, Enriques, Etingof, Fock, Friedlander, Geemen, Getzler, Goncharov, Harris, Iskovskikh, Jahnel, Kaledin, Kapranov, Katz, Kaufmann, Kollar, Kont
Arithmetic and geometry around quantization by
Özgür Ceyhan(
)
15 editions published in 2010 in English and held by 509 WorldCat member libraries worldwide
In recent decades, quantization has led to interesting applications in various mathematical branches. This volume, comprised of research and survey articles, discusses key topics, including symplectic and algebraic geometry, representation theory, quantum groups, the geometric Langlands program, quantum ergodicity, and noncommutative geometry. A wide range of topics related to quantization are covered, giving a glimpse of the broad subject. The articlesare written by distinguished mathematicians in the fieldand reflect subsequent developments followingthe Arithmetic and Geometry around Quantization conference held in Istanbul. List of Contributors: S. Akbulut R. Hadani S. Arkhipov K. Kremnizer Ö. Ceyhan S. Mahanta E. Frenkel S. Salur K. FukayaG. Ben Simon D. GaitsgoryW. van Suijlekom S. Gurevich
15 editions published in 2010 in English and held by 509 WorldCat member libraries worldwide
In recent decades, quantization has led to interesting applications in various mathematical branches. This volume, comprised of research and survey articles, discusses key topics, including symplectic and algebraic geometry, representation theory, quantum groups, the geometric Langlands program, quantum ergodicity, and noncommutative geometry. A wide range of topics related to quantization are covered, giving a glimpse of the broad subject. The articlesare written by distinguished mathematicians in the fieldand reflect subsequent developments followingthe Arithmetic and Geometry around Quantization conference held in Istanbul. List of Contributors: S. Akbulut R. Hadani S. Arkhipov K. Kremnizer Ö. Ceyhan S. Mahanta E. Frenkel S. Salur K. FukayaG. Ben Simon D. GaitsgoryW. van Suijlekom S. Gurevich
Linear algebra and geometry by
Aleksej I Kostrikin(
Book
)
23 editions published between 1988 and 2010 in English and held by 459 WorldCat member libraries worldwide
23 editions published between 1988 and 2010 in English and held by 459 WorldCat member libraries worldwide
Frobenius manifolds, quantum cohomology, and moduli spaces by
Jurij Ivanovič Manin(
Book
)
8 editions published between 1999 and 2012 in English and held by 360 WorldCat member libraries worldwide
This is the first monograph dedicated to the systematic exposition of the whole variety of topics related to quantum cohomology. The subject first originated in theoretical physics (quantum string theory) and has continued to develop extensively over the last decade. The author's approach to quantum cohomology is based on the notion of the Frobenius manifold. The first part of the book is devoted to this notion and its extensive interconnections with algebraic formalism of operads, differential equations, perturbations, and geometry. In the second part of the book, the author describes the construction of quantum cohomology and reviews the algebraic geometry mechanisms involved in this construction (intersection and deformation theory of DeligneArtin and Mumford stacks)
8 editions published between 1999 and 2012 in English and held by 360 WorldCat member libraries worldwide
This is the first monograph dedicated to the systematic exposition of the whole variety of topics related to quantum cohomology. The subject first originated in theoretical physics (quantum string theory) and has continued to develop extensively over the last decade. The author's approach to quantum cohomology is based on the notion of the Frobenius manifold. The first part of the book is devoted to this notion and its extensive interconnections with algebraic formalism of operads, differential equations, perturbations, and geometry. In the second part of the book, the author describes the construction of quantum cohomology and reviews the algebraic geometry mechanisms involved in this construction (intersection and deformation theory of DeligneArtin and Mumford stacks)
Quantum groups and noncommutative geometry by
IU. I Manin(
Book
)
17 editions published between 1988 and 2018 in English and Undetermined and held by 312 WorldCat member libraries worldwide
This textbook presents the second edition of Manin's celebrated 1988 Montreal lectures, which influenced a new generation of researchers in algebra to take up the study of Hopf algebras and quantum groups. In this expanded writeup of those lectures, Manin systematically develops an approach to quantum groups as symmetry objects in noncommutative geometry in contrast to the more deformationoriented approach due to Faddeev, Drinfeld, and others. This new edition contains an extra chapter by Theo Raedschelders and Michel Van den Bergh, surveying recent work that focuses on the representation theory of a number of bi and Hopf algebras that were first introduced in Manin's lectures, and have since gained a lot of attention. Emphasis is placed on the TannakaKrein formalism, which further strengthens Manin's approach to symmetry and moduliobjects in noncommutative geometry.
17 editions published between 1988 and 2018 in English and Undetermined and held by 312 WorldCat member libraries worldwide
This textbook presents the second edition of Manin's celebrated 1988 Montreal lectures, which influenced a new generation of researchers in algebra to take up the study of Hopf algebras and quantum groups. In this expanded writeup of those lectures, Manin systematically develops an approach to quantum groups as symmetry objects in noncommutative geometry in contrast to the more deformationoriented approach due to Faddeev, Drinfeld, and others. This new edition contains an extra chapter by Theo Raedschelders and Michel Van den Bergh, surveying recent work that focuses on the representation theory of a number of bi and Hopf algebras that were first introduced in Manin's lectures, and have since gained a lot of attention. Emphasis is placed on the TannakaKrein formalism, which further strengthens Manin's approach to symmetry and moduliobjects in noncommutative geometry.
Number theory I : fundamental problems, ideas and theories by
I︠U︡. I Manin(
Book
)
6 editions published between 1992 and 2005 in English and held by 268 WorldCat member libraries worldwide
6 editions published between 1992 and 2005 in English and held by 268 WorldCat member libraries worldwide
Elementary particles : mathematics, physics and philosophy by
Igor' J Kobzarev(
Book
)
12 editions published in 1989 in English and held by 259 WorldCat member libraries worldwide
This book has come into being as a result of scientific debates. And these debates have determined its structure. The first chapter is in the form of Socratic dialogues between a mathematician (MATH.), two physicists (pHYS. and EXP.) and a philosopher (PHIL.). However, although one of the authors is a theoretical physicist and the other a mathematician, the reader must not think that their opinions have been divided among the participants of the dialogues. We have tried to convey the inner tension of the topic under discussion and its openness. The attitudes of the participants reflect more the possible evaluations of the situation rather than the actual views of the authors. What is more, the subject "elementary particles" as dealt with in the 3 6 dialogue stretches over (23) 10 years of historical time and a space of 10 ±1 pages of scientific literature. For this reason, a complete survey of it is un achievable. But, of course, every researcher constructs his own history of his science and sees a certain list of its main pOints. We have attempted to float several possible pictures of this kind. Therefore the fact that Math and Phys talk about the history of element ary particles is not an attempt to present the scientific history of this realm of physics
12 editions published in 1989 in English and held by 259 WorldCat member libraries worldwide
This book has come into being as a result of scientific debates. And these debates have determined its structure. The first chapter is in the form of Socratic dialogues between a mathematician (MATH.), two physicists (pHYS. and EXP.) and a philosopher (PHIL.). However, although one of the authors is a theoretical physicist and the other a mathematician, the reader must not think that their opinions have been divided among the participants of the dialogues. We have tried to convey the inner tension of the topic under discussion and its openness. The attitudes of the participants reflect more the possible evaluations of the situation rather than the actual views of the authors. What is more, the subject "elementary particles" as dealt with in the 3 6 dialogue stretches over (23) 10 years of historical time and a space of 10 ±1 pages of scientific literature. For this reason, a complete survey of it is un achievable. But, of course, every researcher constructs his own history of his science and sees a certain list of its main pOints. We have attempted to float several possible pictures of this kind. Therefore the fact that Math and Phys talk about the history of element ary particles is not an attempt to present the scientific history of this realm of physics
Algebraic and topological dynamics : Algebraic and topological dynamics, May 1July 31, 2004, MaxPlanckInstitut für Mathematik,
Bonn, Germany by Conference on Algebraic and Topological Dynamics(
Book
)
12 editions published between 2005 and 2012 in English and held by 238 WorldCat member libraries worldwide
"This volume contains a collection of articles from the special program on algebraic and topological dynamics and a workshop on dynamical systems held at the MaxPlanck Institute (Bonn, Germany). It reflects the extraordinary vitality of dynamical systems in its interaction with a broad range of mathematical subjects." "Topics covered in the book include asymptotic geometric analysis, transformation groups, arithmetic dynamics, complex dynamics, symbolic dynamics, statistical properties of dynamical systems, and the theory of entropy and chaos. The book is suitable for graduate students and researchers interested in dynamical systems."BOOK JACKET
12 editions published between 2005 and 2012 in English and held by 238 WorldCat member libraries worldwide
"This volume contains a collection of articles from the special program on algebraic and topological dynamics and a workshop on dynamical systems held at the MaxPlanck Institute (Bonn, Germany). It reflects the extraordinary vitality of dynamical systems in its interaction with a broad range of mathematical subjects." "Topics covered in the book include asymptotic geometric analysis, transformation groups, arithmetic dynamics, complex dynamics, symbolic dynamics, statistical properties of dynamical systems, and the theory of entropy and chaos. The book is suitable for graduate students and researchers interested in dynamical systems."BOOK JACKET
Mathematics as metaphor : selected essays of Yuri I. Manin by
I︠U︡. I Manin(
Book
)
12 editions published between 2007 and 2008 in English and held by 229 WorldCat member libraries worldwide
"The book includes fifteen essays and an interview. The essays are grouped in three parts: Mathematics; Mathematics and Physics; and Language, Consciousness, and Book reviews. Most of the essays are about some aspects of epistemology and the history of sciences, mainly mathematics, physics, and the history of language. English translations of some of the essays, originally published in Russian, appear for the first time in this selection. One of them is the introduction to the book Computable and Uncomputable, where the idea of a quantum computer was first proposed in 1980. Another is an essay on the mythological trickster figure, where the evolutionary role of manipulative behavior is discussed in connection with the problem of the origin of human language. With the foreword by Freeman Dyson, this book will be of interest to anyone interested in the philosophy and history of mathematics, physics, and linguistics."Jacket
12 editions published between 2007 and 2008 in English and held by 229 WorldCat member libraries worldwide
"The book includes fifteen essays and an interview. The essays are grouped in three parts: Mathematics; Mathematics and Physics; and Language, Consciousness, and Book reviews. Most of the essays are about some aspects of epistemology and the history of sciences, mainly mathematics, physics, and the history of language. English translations of some of the essays, originally published in Russian, appear for the first time in this selection. One of them is the introduction to the book Computable and Uncomputable, where the idea of a quantum computer was first proposed in 1980. Another is an essay on the mythological trickster figure, where the evolutionary role of manipulative behavior is discussed in connection with the problem of the origin of human language. With the foreword by Freeman Dyson, this book will be of interest to anyone interested in the philosophy and history of mathematics, physics, and linguistics."Jacket
Selected papers of Yu. I. Manin by
I︠U︡. I Manin(
Book
)
16 editions published in 1996 in English and held by 193 WorldCat member libraries worldwide
The book is a collection of research and review articles in several areas of modern mathematics and mathematical physics published in the span of three decades. The ICM Kyoto talk "Mathematics as Metaphor" summarises the author's view on mathematics as an outgrowth of natural language
16 editions published in 1996 in English and held by 193 WorldCat member libraries worldwide
The book is a collection of research and review articles in several areas of modern mathematics and mathematical physics published in the span of three decades. The ICM Kyoto talk "Mathematics as Metaphor" summarises the author's view on mathematics as an outgrowth of natural language
Homological algebra by
Sergueï Izrailevitch Gelfand(
Book
)
15 editions published between 1994 and 2013 in 3 languages and held by 159 WorldCat member libraries worldwide
This book, the first printing of which was published as volume 38 of the Encyclopaedia of Mathematical Sciences, presents a modern approach to homological algebra, based on the systematic use of the terminology and ideas of derived categories and derived functors. The book contains applications of homological algebra to the theory of sheaves on topological spaces, to Hodge theory, and to the theory of modules over rings of algebraic differential operators (algebraic Dmodules). The authors Gelfand and Manin explain all the main ideas of the theory of derived categories. Both authors are wellknown researchers and the second, Manin, is famous for his work in algebraic geometry and mathematical physics. The book is an excellent reference for graduate students and researchers in mathematics and also for physicists who use methods from algebraic geometry and algebraic topology
15 editions published between 1994 and 2013 in 3 languages and held by 159 WorldCat member libraries worldwide
This book, the first printing of which was published as volume 38 of the Encyclopaedia of Mathematical Sciences, presents a modern approach to homological algebra, based on the systematic use of the terminology and ideas of derived categories and derived functors. The book contains applications of homological algebra to the theory of sheaves on topological spaces, to Hodge theory, and to the theory of modules over rings of algebraic differential operators (algebraic Dmodules). The authors Gelfand and Manin explain all the main ideas of the theory of derived categories. Both authors are wellknown researchers and the second, Manin, is famous for his work in algebraic geometry and mathematical physics. The book is an excellent reference for graduate students and researchers in mathematics and also for physicists who use methods from algebraic geometry and algebraic topology
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Related Identities
 Panchishkin, A. A. (Alekseĭ Alekseevich)
 Gelʹfand, S. I. (Sergeĭ Izrailevich) Author
 Koblitz, Neal 1948 Translator Author
 Zilber, Boris
 Tschinkel, Yuri Editor
 Zarhin, Yuri 1951 Editor
 Marcolli, Matilde Author Editor
 Ceyhan, Özgür Author Editor
 Kostrikin, A. I. (Alekseĭ Ivanovich) Author
 Koli︠a︡da, S. F. Other Author Editor
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Associated Subjects
Algebra Algebra, Homological Algebraic topology Algebras, Linear Arithmetic Categories (Mathematics) Cohomology operations Curves, Algebraic Data encryption (Computer science) Diophantine analysis Dmodules Frobenius manifolds Gauge fields (Physics) Geometric quantization Geometry Geometry, Algebraic Geometry, Differential Group theory Homology theory Hopf algebras Ktheory Logic Logic, Symbolic and mathematical Mathematical physics Mathematicians Mathematics Model theory Moduli theory Noncommutative differential geometry Noncommutative rings Nuclear physics Number theory Particles (Nuclear physics) Physics Proof theory Quantum field theory Quantum groups Quantum theory Russia Soviet Union Surfaces, Cubic Symplectic manifolds Topological algebras Topological dynamics
Covers
Alternative Names
Jurij Ivanovics Manyin
Jurij Manin matematico russo
Manin, I︠U︡ I
Manin, I︠U︡. I. 1937
Manin, I︠U︡riĭ Ivanovich
Manin, I͡Uriĭ Ivanovich 1937
Manin, J. 1937
Manin, J. I.
Manin, J.I. 1937
Manin, Ju. I.
Manin, Ju.I. 1937
Manin , Jurii Ivanovic
Manin, Jurij I.
Manin, Jurij I. 1937
Manin, Jurij Ivanovič
Manin, Jurij Ivanovič 1937
Manin, Jurij Ivanovič. [t]
Manin, Jurij Iwanowitsch 1937
Manin, Û. I.
Manin, Y.
Manin, Y. 1937
Manin, Y. I. 1937
Manin , Yu. I.
Manin, Yu.I. 1937
Manin, Yu. I. (Yurij I.)
Manin, Yuri.
Manin , Yuri I.
Manin, Yuri I., 1936
Manin, Yuri I. 1937
Manin, Yuri Ivanovič
Manin Yuri Ivanovic 1937....
Manin , Yuri Ivanovich
Manin, Yuri Ivanovich 1937
Manin, Yurii Ivanovich.
Manin Yurii Ivanovich 1937.....
Manin, Yurij I.
Manin, Yurij I. 1937
Yuri I. Manin RussianGerman mathematician
Yuri I. Manin Russian mathematician
Yuri Manin
Yuri Manin Duits wiskundige
Yuri Manin matemático ruso
Yuri Manin matematico russo
Yuri Manin mathématicien russe
Yuri Manin professor académico alemão
Yuri Manin russischer Mathematiker und Direktor am MaxPlanckInstitut für Mathematik in Bonn
Yuri Manin tysk matematikar
Yuri Manin tysk matematiker
Γιούρι Μάνιν
Манин Ю.И.
Манин, Юрий Иванович
Манин Юрий Иванович 1937....
Манин, Юрий Иванович российский математик, алгебраический геометр
Юрий Иванович Манин российский математик, алгебраический геометр
Юрій Манін російський математик
يوري مانين رياضياتي روسي
유리 마닌
ユーリ・マニン
尤里·马宁
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