Dubrovin, B. A. (Boris Anatolʹevich)
Overview
Works:  75 works in 335 publications in 6 languages and 2,545 library holdings 

Genres:  Conference papers and proceedings 
Roles:  Author, Editor, htt 
Classifications:  QA445, 516 
Publication Timeline
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Most widely held works about
B. A Dubrovin
 Integrability, quantization, and geometry( Book )
 Zari︠a︡ svobody : kantata dli︠a︡ solistov, khora i simfonicheskogo orkestra = The dawn of freedom : cantata for soloists, chorus and symphony orchestra by David Fedorovich SalimanVladimirov( )
Most widely held works by
B. A Dubrovin
Modern geometrymethods and applications by
B. A Dubrovin(
Book
)
59 editions published between 1984 and 2012 in English and Multiple languages and held by 902 WorldCat member libraries worldwide
Modern geometry:Methods and appli./Dubrovin ...v.1
59 editions published between 1984 and 2012 in English and Multiple languages and held by 902 WorldCat member libraries worldwide
Modern geometry:Methods and appli./Dubrovin ...v.1
Quantum cohomology : lectures given at the C.I.M.E. Summer School held in Cetraro, Italy, June 30July 8, 1997 by
K Behrend(
Book
)
17 editions published between 2002 and 2004 in English and held by 491 WorldCat member libraries worldwide
The book gathers the lectures given at the C.I.M.E. summer school "Quantum Cohomology" held in Cetraro (Italy) from June 30th to July 8th, 1997. The lectures and the subsequent updating cover a large spectrum of the subject on the field, from the algebrogeometric point of view, to the symplectic approach, including recent developments of stringbranes theories and qhypergeometric functions
17 editions published between 2002 and 2004 in English and held by 491 WorldCat member libraries worldwide
The book gathers the lectures given at the C.I.M.E. summer school "Quantum Cohomology" held in Cetraro (Italy) from June 30th to July 8th, 1997. The lectures and the subsequent updating cover a large spectrum of the subject on the field, from the algebrogeometric point of view, to the symplectic approach, including recent developments of stringbranes theories and qhypergeometric functions
Topology, geometry, integrable systems, and mathematical physics : Novikov's seminar, 20122014 by
S.P. Novikov Seminar(
Book
)
7 editions published in 2014 in English and held by 148 WorldCat member libraries worldwide
Articles in this collection are devoted to modern problems of topology, geometry, mathematical physics, and integrable systems, and they are based on talks given at the famous Novikov's seminar at the Steklov Institute of Mathematics in Moscow in 20122014. The articles cover many aspects of seemingly unrelated areas of modern mathematics and mathematical physics; they reflect the main scientific interests of the organizer of the seminar, Sergey Petrovich Novikov. The volume is suitable for graduate students and researchers interested in the corresponding areas of mathematics and physics
7 editions published in 2014 in English and held by 148 WorldCat member libraries worldwide
Articles in this collection are devoted to modern problems of topology, geometry, mathematical physics, and integrable systems, and they are based on talks given at the famous Novikov's seminar at the Steklov Institute of Mathematics in Moscow in 20122014. The articles cover many aspects of seemingly unrelated areas of modern mathematics and mathematical physics; they reflect the main scientific interests of the organizer of the seminar, Sergey Petrovich Novikov. The volume is suitable for graduate students and researchers interested in the corresponding areas of mathematics and physics
Modern geometry : methods and applications by
B. A Dubrovin(
Book
)
40 editions published between 1984 and 2012 in English and Multiple languages and held by 140 WorldCat member libraries worldwide
Up until recently, Riemannian geometry and basic topology were not included, even by departments or faculties of mathematics, as compulsory subjects in a universitylevel mathematical education. The standard courses in the classical differential geometry of curves and surfaces which were given instead (and still are given in some places) have come gradually to be viewed as anachronisms. However, there has been hitherto no unanimous agreement as to exactly how such courses should be brought up to date, that is to say, which parts of modern geometry should be regarded as absolutely essential to a modern mathematical education, and what might be the appropriate level of abstractness of their exposition. The task of designing a modernized course in geometry was begun in 1971 in the mechanics division of the Faculty of Mechanics and Mathematics of Moscow State University. The subjectmatter and level of abstractness of its exposition were dictated by the view that, in addition to the geometry of curves and surfaces, the following topics are certainly useful in the various areas of application of mathematics (especially in elasticity and relativity, to name but two), and are therefore essential: the theory of tensors (including covariant differentiation of them); Riemannian curvature; geodesics and the calculus of variations (including the conservation laws and Hamiltonian formalism); the particular case of skewsymmetric tensors (i. e
40 editions published between 1984 and 2012 in English and Multiple languages and held by 140 WorldCat member libraries worldwide
Up until recently, Riemannian geometry and basic topology were not included, even by departments or faculties of mathematics, as compulsory subjects in a universitylevel mathematical education. The standard courses in the classical differential geometry of curves and surfaces which were given instead (and still are given in some places) have come gradually to be viewed as anachronisms. However, there has been hitherto no unanimous agreement as to exactly how such courses should be brought up to date, that is to say, which parts of modern geometry should be regarded as absolutely essential to a modern mathematical education, and what might be the appropriate level of abstractness of their exposition. The task of designing a modernized course in geometry was begun in 1971 in the mechanics division of the Faculty of Mechanics and Mathematics of Moscow State University. The subjectmatter and level of abstractness of its exposition were dictated by the view that, in addition to the geometry of curves and surfaces, the following topics are certainly useful in the various areas of application of mathematics (especially in elasticity and relativity, to name but two), and are therefore essential: the theory of tensors (including covariant differentiation of them); Riemannian curvature; geodesics and the calculus of variations (including the conservation laws and Hamiltonian formalism); the particular case of skewsymmetric tensors (i. e
Géométrie contemporaine : méthodes et applications by
B. A Dubrovin(
Book
)
29 editions published between 1982 and 1987 in 3 languages and held by 107 WorldCat member libraries worldwide
29 editions published between 1982 and 1987 in 3 languages and held by 107 WorldCat member libraries worldwide
Modern geometry : methods and applications by
B. A Dubrovin(
Book
)
25 editions published between 1990 and 2010 in English and Italian and held by 107 WorldCat member libraries worldwide
25 editions published between 1990 and 2010 in English and Italian and held by 107 WorldCat member libraries worldwide
Modern geometry, methods and applications by
B. A Dubrovin(
)
10 editions published between 1984 and 1992 in English and Multiple languages and held by 103 WorldCat member libraries worldwide
Manifolds, transformation groups, and Lie algebras, as well as the basic concepts of visual topology. It was also agreed that the course should be given in as simple and concrete a language as possible, and that wherever practicƯ able the terminology should be that used by physicists. Thus it was along these lines that the archetypal course was taught. It was given more permanent form as duplicated lecture notes published under the auspices of Moscow State University as: Differential Geometry, Parts I and II, by S.P. Novikov, Division of Mechanics, Moscow State University, 1972. Subsequently various parts of the course were altered, and new topics added. This supplementary material was published (also in duplicated form) as Differential Geometry, Part III, by S.P. Novikov and A.T. Fomenko, Division of Mechanics, Moscow State University, 1974. The present book is the outcome of a reworking, reordering, and exƯ tensive elaboration of the abovementioned lecture notes. It is the authors' view that it will serve as a basic text from which the essentials for a course in modern geometry may be easily extracted. To S.P. Novikov are due the original conception and the overall plan of the book. The work of organizing the material contained in the duplicated lecture notes in accordance with this plan was carried out by B.A. Dubrovin
10 editions published between 1984 and 1992 in English and Multiple languages and held by 103 WorldCat member libraries worldwide
Manifolds, transformation groups, and Lie algebras, as well as the basic concepts of visual topology. It was also agreed that the course should be given in as simple and concrete a language as possible, and that wherever practicƯ able the terminology should be that used by physicists. Thus it was along these lines that the archetypal course was taught. It was given more permanent form as duplicated lecture notes published under the auspices of Moscow State University as: Differential Geometry, Parts I and II, by S.P. Novikov, Division of Mechanics, Moscow State University, 1972. Subsequently various parts of the course were altered, and new topics added. This supplementary material was published (also in duplicated form) as Differential Geometry, Part III, by S.P. Novikov and A.T. Fomenko, Division of Mechanics, Moscow State University, 1974. The present book is the outcome of a reworking, reordering, and exƯ tensive elaboration of the abovementioned lecture notes. It is the authors' view that it will serve as a basic text from which the essentials for a course in modern geometry may be easily extracted. To S.P. Novikov are due the original conception and the overall plan of the book. The work of organizing the material contained in the duplicated lecture notes in accordance with this plan was carried out by B.A. Dubrovin
Géométrie contemporaine : méthodes et applications by
B. A Dubrovin(
Book
)
18 editions published between 1982 and 1987 in French and Undetermined and held by 75 WorldCat member libraries worldwide
18 editions published between 1982 and 1987 in French and Undetermined and held by 75 WorldCat member libraries worldwide
Modern Geometry Methods and Applications : Part II: The Geometry and Topology of Manifolds by
B. A Dubrovin(
)
1 edition published in 1985 in English and held by 61 WorldCat member libraries worldwide
Up until recently, Riemannian geometry and basic topology were not included, even by departments or faculties of mathematics, as compulsory subjects in a universitylevel mathematical education. The standard courses in the classical differential geometry of curves and surfaces which were given instead (and still are given in some places) have come gradually to be viewed as anachronisms. However, there has been hitherto no unanimous agreement as to exactly how such courses should be brought up to date, that is to say, which parts of modern geometry should be regarded as absolutely essential to a modern mathematical education, and what might be the appropriate level of abstractness of their exposition. The task of designing a modernized course in geometry was begun in 1971 in the mechanics division of the Faculty of Mechanics and Mathematics of Moscow State University. The subjectmatter and level of abstractness of its exposition were dictated by the view that, in addition to the geometry of curves and surfaces, the following topics are certainly useful in the various areas of application of mathematics (especially in elasticity and relativity, to name but two), and are therefore essential: the theory of tensors (including covariant differentiation of them); Riemannian curvature; geodesics and the calculus of variations (including the conservation laws and Hamiltonian formalism); the particular case of skewsymmetric tensors (i. e
1 edition published in 1985 in English and held by 61 WorldCat member libraries worldwide
Up until recently, Riemannian geometry and basic topology were not included, even by departments or faculties of mathematics, as compulsory subjects in a universitylevel mathematical education. The standard courses in the classical differential geometry of curves and surfaces which were given instead (and still are given in some places) have come gradually to be viewed as anachronisms. However, there has been hitherto no unanimous agreement as to exactly how such courses should be brought up to date, that is to say, which parts of modern geometry should be regarded as absolutely essential to a modern mathematical education, and what might be the appropriate level of abstractness of their exposition. The task of designing a modernized course in geometry was begun in 1971 in the mechanics division of the Faculty of Mechanics and Mathematics of Moscow State University. The subjectmatter and level of abstractness of its exposition were dictated by the view that, in addition to the geometry of curves and surfaces, the following topics are certainly useful in the various areas of application of mathematics (especially in elasticity and relativity, to name but two), and are therefore essential: the theory of tensors (including covariant differentiation of them); Riemannian curvature; geodesics and the calculus of variations (including the conservation laws and Hamiltonian formalism); the particular case of skewsymmetric tensors (i. e
Geometry of Hamiltonian evolutionary systems by
B. A Dubrovin(
Book
)
6 editions published in 1991 in English and held by 47 WorldCat member libraries worldwide
6 editions published in 1991 in English and held by 47 WorldCat member libraries worldwide
Topological and algebraic geometry methods in contemporary mathematical physics by
B. A Dubrovin(
Book
)
7 editions published between 2002 and 2004 in English and held by 43 WorldCat member libraries worldwide
7 editions published between 2002 and 2004 in English and held by 43 WorldCat member libraries worldwide
The Geometry and topology of manifolds : with 126 illustrations by
B. A Dubrovin(
Book
)
5 editions published in 1985 in English and Undetermined and held by 43 WorldCat member libraries worldwide
Band 2
5 editions published in 1985 in English and Undetermined and held by 43 WorldCat member libraries worldwide
Band 2
Sovremennai︠a︡ geometrii︠a︡ : Metody i prilozhenii︠a︡ by
B. A Dubrovin(
Book
)
4 editions published between 1979 and 1986 in Russian and held by 29 WorldCat member libraries worldwide
4 editions published between 1979 and 1986 in Russian and held by 29 WorldCat member libraries worldwide
Sovremennai︠a︡ geometrii︠a︡ : metody teorii gomologiĭ by
B. A Dubrovin(
Book
)
2 editions published in 1984 in Russian and held by 25 WorldCat member libraries worldwide
2 editions published in 1984 in Russian and held by 25 WorldCat member libraries worldwide
Geometría moderna : métodos de la teoría de homologías by
B. A Dubrovin(
Book
)
7 editions published between 1987 and 1989 in Spanish and Undetermined and held by 16 WorldCat member libraries worldwide
7 editions published between 1987 and 1989 in Spanish and Undetermined and held by 16 WorldCat member libraries worldwide
Integrable systems and quantum groups : lectures given at the 1st session of the Centro internazionale matematico estivo (C.I.M.E.)
held in Montecatini Terme, Italy, June 1422, 1993 by
Ron Donagi(
Book
)
1 edition published in 1996 in English and held by 15 WorldCat member libraries worldwide
The aim of this CIME Session was to review the state of the art in the recent development of the theory of integrable systems and their relations with quantum groups. The purpose was to gather geometers and mathematical physicists to allow a broader and more complete view of these attractive and rapidly developing fields. The papers contained in this volume have at the same time the character of survey articles and of research papers, since they contain both a survey of current problems and a number of original contributions to the subject
1 edition published in 1996 in English and held by 15 WorldCat member libraries worldwide
The aim of this CIME Session was to review the state of the art in the recent development of the theory of integrable systems and their relations with quantum groups. The purpose was to gather geometers and mathematical physicists to allow a broader and more complete view of these attractive and rapidly developing fields. The papers contained in this volume have at the same time the character of survey articles and of research papers, since they contain both a survey of current problems and a number of original contributions to the subject
Introduction to Homology Theory by
B. A Dubrovin(
Book
)
1 edition published in 1990 in English and held by 14 WorldCat member libraries worldwide
1 edition published in 1990 in English and held by 14 WorldCat member libraries worldwide
Geometría moderna : métodos y aplicaciones by
B. A Dubrovin(
Book
)
6 editions published in 2000 in Spanish and held by 12 WorldCat member libraries worldwide
6 editions published in 2000 in Spanish and held by 12 WorldCat member libraries worldwide
Sovremennaja geometrija : metody i priloženija by
B. A Dubrovin(
Book
)
7 editions published between 1979 and 1994 in Russian and Undetermined and held by 11 WorldCat member libraries worldwide
7 editions published between 1979 and 1994 in Russian and Undetermined and held by 11 WorldCat member libraries worldwide
The geometry of surfaces, transformation groups and fields by
B. A Dubrovin(
Book
)
4 editions published between 1984 and 1992 in English and held by 9 WorldCat member libraries worldwide
4 editions published between 1984 and 1992 in English and held by 9 WorldCat member libraries worldwide
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Related Identities
 Novikov, S. P. (Sergeĭ Petrovich) Editor
 Fomenko, A. T. Author
 De Bartolomeis, P. (Paolo) Editor
 Behrend, K. (Kai) Author
 Reina, C. (Cesare) Editor
 Krichever, I. M. Editor
 Buchstaber, V. M. Editor
 Burns, Robert G. Translator Author
 Kotliar, Vladimir Other Translator
 Matematicheskiĭ institut im. V.A. Steklova
Useful Links
Associated Subjects
Algebra Algebra, Homological Algebraic spaces Algebraic topology Calculus of tensors Calculus of variations Cantatas, SecularVocal scores with piano Cell aggregationMathematics Cobordism theory Complex manifolds Differentiable dynamical systems Geometry Geometry, Algebraic Geometry, Differential Geometry, Modern Global analysis (Mathematics) Global differential geometry Hamiltonian systems Homology theory Homotopy groups Homotopy theory Influence (Literary, artistic, etc.) Jet bundles (Mathematics) Manifolds (Mathematics) Mathematical physics Mathematics Physics Quantum groups Quantum theory Smoothness of functions Surfaces Surfaces, Algebraic Topology Transformation groups Transformations (Mathematics)
Covers
Alternative Names
Boris Anatol‘jevič Dubrovin
Boris Anatoljewitsch Dubrowin mathématicien russe
Boris Anatoljewitsch Dubrowin Russisch wiskundige (19502019)
Boris Anatoljewitsch Dubrowin russischer Mathematiker
Borís Dubrovin matemático ruso
Boris Dubrovin matemáticu rusu
Boris Dubrovin matematikan rus
Boris Dubrovin Rus matematikçi
Boris Dubrovin Russian mathematician
Doubrovine, B.
Doubrovine, B. 19502019
Doubrovine, B.A
Douvrovin, B.A
Dubrovin, B.
Dubrovin, B. 19502019
Dubrovin, B.A
Dubrovin, B. A. 1950
Dubrovin, B. A. 19502019
Dubrovin, Boris 19502019
Dubrovin, Boris A.
Dubrovin, Boris A. 19502019
Dubrovin, Boris Anatolʹevič
Dubrovin, Boris Anatolʹevich
Dubrovin, Boris Anatolevich 19502019
Dubrovin, Boris Anatolievich
Dubrovine, B. A.
Дубровин, Б. А.
Дубровин, Б. А. (Борис Анатольевич)
Дубровин, Борис Анатольевич
ボリス・ドゥブローヴィン
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