Manin, I︠U︡. I.
Overview
Works:  185 works in 543 publications in 4 languages and 9,051 library holdings 

Genres:  Conference proceedings History 
Roles:  Author, Editor, Honoree, Author of introduction, Translator, Other, Adapter, Dedicatee, Interviewee 
Classifications:  QA9, 516.36 
Publication Timeline
.
Most widely held works about
I︠U︡. I Manin
 Late style Yuri Ivanovich Manin looking back on a life in mathematics ( Visual )
 Algebra, arithmetic, and geometry. in honor of Yu. I. Manin ( )
 Late style Yuri I. Manin looking back on a life in mathematics ( Visual )
 My life is not a conveyor belt by I︠U︡. I Manin I︠U︡. I Manin( )
Most widely held works by
I︠U︡. I Manin
Introduction to modern number theory fundamental problems, ideas and theories
by
I︠U︡. I Manin(
)
19 editions published between 2005 and 2010 in English and held by 788 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
19 editions published between 2005 and 2010 in English and held by 788 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
)
31 editions published between 1972 and 1986 in 4 languages and held by 728 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, the th
31 editions published between 1972 and 1986 in 4 languages and held by 728 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, the th
Gauge field theory and complex geometry
by
I︠U︡. I Manin(
Book
)
27 editions published between 1988 and 2011 in English and German and held by 672 WorldCat member libraries worldwide
From the reviews: " ... focused mainly on complex differential geometry and holomorphic bundle theory. This is a powerful book, written by a very distinguished contributor to the field" (Contemporary Physics)"the book provides a large amount of background for current research across a spectrum of field. ... requires effort to read but it is worthwhile and rewarding" (New Zealand Math. Soc. Newsletter) " The contents are highly technical and the pace of the exposition is quite fast. Manin is an outstanding mathematician, and writer as well, perfectly at ease in the most abstract and complex situation. With such a guide the reader will be generously rewarded!" (Physicalia) This new edition includes an Appendix on developments of the last 10 years, by S. Merkulov
27 editions published between 1988 and 2011 in English and German and held by 672 WorldCat member libraries worldwide
From the reviews: " ... focused mainly on complex differential geometry and holomorphic bundle theory. This is a powerful book, written by a very distinguished contributor to the field" (Contemporary Physics)"the book provides a large amount of background for current research across a spectrum of field. ... requires effort to read but it is worthwhile and rewarding" (New Zealand Math. Soc. Newsletter) " The contents are highly technical and the pace of the exposition is quite fast. Manin is an outstanding mathematician, and writer as well, perfectly at ease in the most abstract and complex situation. With such a guide the reader will be generously rewarded!" (Physicalia) This new edition includes an Appendix on developments of the last 10 years, by S. Merkulov
Mathematics and physics
by
I︠U︡. I Manin(
Book
)
19 editions published between 1979 and 1983 in 3 languages and held by 610 WorldCat member libraries worldwide
19 editions published between 1979 and 1983 in 3 languages and held by 610 WorldCat member libraries worldwide
Methods of homological algebra
by
S. I Gelʹfand(
Book
)
26 editions published between 1988 and 2011 in 3 languages and held by 562 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 semantics, and its contemporary applications are many and diverse. This modern approach to homological algebra, by two leading writers in the field, is based on the systematic 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 about a modern approach to homological algebra and to use it in their work
26 editions published between 1988 and 2011 in 3 languages and held by 562 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 semantics, and its contemporary applications are many and diverse. This modern approach to homological algebra, by two leading writers in the field, is based on the systematic 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 about a modern approach to homological algebra and to use it in their work
A course in mathematical logic for mathematicians
by
I︠U︡. I Manin(
)
15 editions published between 2010 and 2012 in English and held by 531 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."BOOK JACKET
15 editions published between 2010 and 2012 in English and held by 531 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."BOOK JACKET
A course in mathematical logic
by
I︠U︡. I Manin(
Book
)
12 editions published between 1977 and 1984 in English and Undetermined and held by 523 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
12 editions published between 1977 and 1984 in English and Undetermined and held by 523 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
Ktheory, arithmetic and geometry : seminar, Moscow University, 19841986
by
I︠U︡. I Manin(
Book
)
15 editions published in 1987 in English and held by 499 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
15 editions published in 1987 in English and held by 499 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
Arithmetic and geometry around quantization
by
Özgür Ceyhan(
)
11 editions published in 2010 in English and held by 450 WorldCat member libraries worldwide
11 editions published in 2010 in English and held by 450 WorldCat member libraries worldwide
Linear algebra and geometry
by
A. I Kostrikin(
Book
)
21 editions published between 1988 and 2005 in English and held by 442 WorldCat member libraries worldwide
21 editions published between 1988 and 2005 in English and held by 442 WorldCat member libraries worldwide
Algebra, arithmetic, and geometry in honor of Yu. I. Manin
(
)
10 editions published in 2009 in English and held by 436 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
10 editions published in 2009 in English and held by 436 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
Topics in noncommutative geometry
by
I︠U︡. I Manin(
Book
)
10 editions published in 1991 in English and Undetermined and held by 379 WorldCat member libraries worldwide
10 editions published in 1991 in English and Undetermined and held by 379 WorldCat member libraries worldwide
Frobenius manifolds, quantum cohomology, and moduli spaces
by
I︠U︡. I Manin(
Book
)
8 editions published in 1999 in English and held by 337 WorldCat member libraries worldwide
8 editions published in 1999 in English and held by 337 WorldCat member libraries worldwide
Number theory I : fundamental problems, ideas and theories
by
I︠U︡. I Manin(
Book
)
5 editions published between 1992 and 1995 in English and held by 260 WorldCat member libraries worldwide
This book 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 (including some modern areas such as cryptography, factorization and primality testing), the central ideas of modern theories are exposed: algebraic number theory, calculations and properties of Galois groups, nonAbelian generalizations of class field theory, recursive computability and links with Diophantine equations, the arithmetic of algebraic varieties, connections with modular forms, zeta and Lfunctions. The authors have tried to present the most significant results and methods of modern time. An overview of the major conjectures is also given in order to illustrate current thinking in number theory. Most of these conjectures are based on analogies between functions and numbers, and on connections with other branches of mathematics such as algebraic topology, analysis, representation theory and geometry
5 editions published between 1992 and 1995 in English and held by 260 WorldCat member libraries worldwide
This book 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 (including some modern areas such as cryptography, factorization and primality testing), the central ideas of modern theories are exposed: algebraic number theory, calculations and properties of Galois groups, nonAbelian generalizations of class field theory, recursive computability and links with Diophantine equations, the arithmetic of algebraic varieties, connections with modular forms, zeta and Lfunctions. The authors have tried to present the most significant results and methods of modern time. An overview of the major conjectures is also given in order to illustrate current thinking in number theory. Most of these conjectures are based on analogies between functions and numbers, and on connections with other branches of mathematics such as algebraic topology, analysis, representation theory and geometry
Elementary particles : mathematics, physics and philosophy
by
I. I︠U︡ Kobzarev(
Book
)
9 editions published in 1989 in English and held by 216 WorldCat member libraries worldwide
9 editions published in 1989 in English and held by 216 WorldCat member libraries worldwide
Mathematics as metaphor : selected essays of Yuri I. Manin
by
I︠U︡. I Manin(
Book
)
8 editions published between 2007 and 2008 in English and held by 204 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."BOOK JACKET
8 editions published between 2007 and 2008 in English and held by 204 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."BOOK JACKET
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
)
6 editions published in 2005 in English and held by 200 WorldCat member libraries worldwide
6 editions published in 2005 in English and held by 200 WorldCat member libraries worldwide
Quantum groups and noncommutative geometry
by
I︠U︡. I Manin(
Book
)
11 editions published between 1988 and 1991 in English and held by 174 WorldCat member libraries worldwide
11 editions published between 1988 and 1991 in English and held by 174 WorldCat member libraries worldwide
Selected papers of Yu. I. Manin
by
I︠U︡. I Manin(
Book
)
13 editions published in 1996 in English and held by 157 WorldCat member libraries worldwide
13 editions published in 1996 in English and held by 157 WorldCat member libraries worldwide
Homological algebra
by
S. I Gelʹfand(
Book
)
9 editions published between 1994 and 1999 in English and held by 117 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
9 editions published between 1994 and 1999 in English and held by 117 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
 Kostrikin, A. I. (Alekseĭ Ivanovich) Author
 Ceyhan, Özgür Editor
 Шафаревич, И. Р (Игорь Ростиславович) 1923 Editor
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Associated Subjects
Algebra Algebra, Homological Algebraic topology Algebras, Linear Arithmetic Categories (Mathematics) Data encryption (Computer science) Dmodules Gauge fields (Physics) Geometric quantization Geometry Geometry, Algebraic Geometry, Differential Global analysis (Mathematics) Global differential geometry Group theory Homology theory Hopf algebras Ktheory Logic Logic, Symbolic and mathematical Mathematical physics Mathematicians Mathematics Moduli theory Noncommutative rings Nuclear physics Number theory Particles (Nuclear physics) Physics Quantum field theory Quantum groups Quantum theory Russia Surfaces, Cubic Symplectic manifolds Topological algebras Topological dynamics
Alternative Names
Manin, I︠U︡ I
Manin, I︠U︡. I. 1937
Manin, I︠U︡riĭ Ivanovich
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
Манин, Ю. И..
Манин, Юрий Иванович
Манин Юрий Иванович 1937....
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