WorldCat Identities

Manin, I︠U︡. I.

Overview
Works: 209 works in 748 publications in 4 languages and 10,334 library holdings
Genres: Conference papers and proceedings  History 
Roles: Author, Editor, Honoree, Author of introduction, Translator, Other, Collector, Adapter, Dedicatee, Interviewee
Classifications: QA649, 516.36
Publication Timeline
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Most widely held works by I︠U︡. I Manin
Gauge field theory and complex geometry by I︠U︡. I Manin( Book )

33 editions published between 1988 and 2011 in English and German and held by 670 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
Cubic forms; algebra, geometry, arithmetic by I︠U︡. I Manin( Book )

33 editions published between 1974 and 1986 in 3 languages and held by 631 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
Mathematics and physics by I︠U︡. I Manin( Book )

24 editions published between 1979 and 1983 in 3 languages and held by 593 WorldCat member libraries worldwide

A course in mathematical logic by I︠U︡. I Manin( Book )

21 editions published between 1977 and 1991 in English and Undetermined and held by 586 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 sub-class 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
Methods of homological algebra by S. I Gelʹfand( Book )

31 editions published between 1996 and 2011 in English and German and held by 568 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 a modern approach to homological algebra and to use it in their work. For the second edition the authors have made numerous corrections
Linear algebra and geometry by A. I Kostrikin( Book )

24 editions published between 1988 and 2005 in English and held by 457 WorldCat member libraries worldwide

Topics in noncommutative geometry by I︠U︡. I Manin( Book )

16 editions published between 1991 and 2016 in English and Undetermined and held by 397 WorldCat member libraries worldwide

There is a well-known 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 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
K-theory, arithmetic and geometry : seminar, Moscow University, 1984-1986 by I︠U︡. I Manin( Book )

22 editions published in 1987 in English and Undetermined and held by 365 WorldCat member libraries worldwide

This volume of research papers is an outgrowth of the Manin Seminar at Moscow University, devoted to K-theory, homological algebra and algebraic geometry. The main topics discussed include additive K-theory, cyclic cohomology, mixed Hodge structures, theory of Virasoro and Neveu-Schwarz algebras
Frobenius manifolds, quantum cohomology, and moduli spaces by I︠U︡. I Manin( Book )

11 editions published in 1999 in English and held by 348 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 con
Introduction to modern number theory : fundamental problems, ideas and theories by I︠U︡. I Manin( Book )

40 editions published between 2005 and 2013 in English and held by 321 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 non-Abelian generalizations of class field theory, recursive computability and Diophantine equations, zeta- and L-functions."--Jacket
Number theory I : fundamental problems, ideas and theories by I︠U︡. I Manin( Book )

7 editions published between 1992 and 2005 in English and held by 266 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, non-Abelian generalizations of class field theory, recursive computability and links with Diophantine equations, the arithmetic of algebraic varieties, connections with modular forms, zeta- and L-functions. 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
Mathematics as metaphor : selected essays of Yuri I. Manin by I︠U︡. I Manin( Book )

13 editions published between 2007 and 2008 in English and held by 228 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
A course in mathematical logic for mathematicians by I︠U︡. I Manin( Book )

20 editions published between 2010 and 2012 in English and held by 212 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 Gödel 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 number-theoretic connections. The text present a complete proof of the theorem of Davis{u2013}Putnam{u2013}Robinson{u2013}Matiyasevich as well as a proof of Higman's theorem on recursive groups. Kolmogorov complexity is also treated. Part III establishes the essential equivalence of proof theory and computation theory and gives applications such as Gödel's theorem on the length of proofs. A new Chapter IX, written by Yuri Manin, treats, among other things, a categorical approach to the theory of computation, quantum computation, and the P/NP problem. A new Chapter X, written by Boris Zilber, contains basic results of model theory and its applications to mainstream mathematics. This theory has found deep applications in algebraic and diophantine geometry. Yuri Ivanovich Manin is Professor Emeritus at Max-Planck-Institute for Mathematics in Bonn, Germany, Board of Trustees Professor at the Northwestern University, Evanston, IL, USA, and Principal Researcher at the Steklov Institute of Mathematics, Moscow, Russia. Boris Zilber, Professor of Mathematical Logic at the University of Oxford, has contributed the Model Theory Chapter for the second edition
Elementary particles : mathematics, physics and philosophy by I. I︠U︡ Kobzarev( Book )

11 editions published in 1989 in English and held by 204 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 (2-3) 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 1-July 31, 2004, Max-Planck-Institut für Mathematik, Bonn, Germany by Conference on Algebraic and Topological Dynamics( Book )

10 editions published in 2005 in English and held by 198 WorldCat member libraries worldwide

Quantum groups and non-commutative geometry by I︠U︡. I Manin( Book )

13 editions published between 1988 and 1991 in English and held by 183 WorldCat member libraries worldwide

Selected papers of Yu. I. Manin by I︠U︡. I Manin( Book )

16 editions published in 1996 in English and held by 153 WorldCat member libraries worldwide

Arithmetic and geometry around quantization by Özgür Ceyhan( Book )

16 editions published in 2010 in English and held by 110 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 non-commutative 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
Homological algebra by S. I Gelʹfand( Book )

12 editions published between 1994 and 1999 in English and German and held by 109 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 D-modules). The authors Gelfand and Manin explain all the main ideas of the theory of derived categories. Both authors are well-known 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
Algebra, arithmetic, and geometry : in honor of Yu. I. Manin( Book )

8 editions published in 2009 in English and held by 106 WorldCat member libraries worldwide

 
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A course in mathematical logic
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 Russian-German mathematician

Yuri I. Manin Russian mathematician

Yuri Manin

Yuri Manin Duits wiskundige

Yuri Manin matemático ruso

Yuri Manin matematico russo

Yuri Manin russischer Mathematiker und Direktor am Max-Planck-Institut 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

유리 마닌

ユーリ・マニン

Languages
English (370)

German (3)

Russian (2)

Dutch (1)

Covers
Cubic forms; algebra, geometry, arithmeticA course in mathematical logicMethods of homological algebraLinear algebra and geometryK-theory, arithmetic and geometry : seminar, Moscow University, 1984-1986Frobenius manifolds, quantum cohomology, and moduli spacesIntroduction to modern number theory : fundamental problems, ideas and theoriesNumber theory I : fundamental problems, ideas and theories