Novikov, S. P. (Sergeĭ Petrovich)
Overview
Works:  253 works in 677 publications in 4 languages and 9,120 library holdings 

Genres:  Conference proceedings 
Roles:  Author, Editor, Honoree, Dedicatee, Performer, Actor 
Classifications:  QA445, 516 
Publication Timeline
.
Most widely held works about
S. P Novikov
 Some theorems of Browder and Novikov on homotopy equivalent manifolds with an application by R. K Lashof( Book )
 Novikov conjectures, index theorems and rigidity : Oberwolfach 1993( Book )
 Novikov conjectures, index theorems and rigidity Oberwolfach 1993( Book )
 Vzlety i padeniia by S. P Novikov( Book )
 Novikov Resolutions for Symplectic Cobordism by Donald David Porter( )
Most widely held works by
S. P Novikov
Modern geometrymethods and applications by
B. A Dubrovin(
Book
)
28 editions published between 1979 and 1992 in 4 languages and held by 840 WorldCat member libraries worldwide
Modern geometry:Methods and appli./Dubrovin...v.1
28 editions published between 1979 and 1992 in 4 languages and held by 840 WorldCat member libraries worldwide
Modern geometry:Methods and appli./Dubrovin...v.1
Theory of solitons : the inverse scattering method by Sergey Petrovich Novikov(
Book
)
9 editions published in 1984 in English and held by 359 WorldCat member libraries worldwide
9 editions published in 1984 in English and held by 359 WorldCat member libraries worldwide
Solitons and geometry by
S. P Novikov(
Book
)
21 editions published between 1992 and 2009 in English and held by 334 WorldCat member libraries worldwide
21 editions published between 1992 and 2009 in English and held by 334 WorldCat member libraries worldwide
Integrable systems : selected papers by
I. S Novikov(
Book
)
12 editions published between 1981 and 2009 in English and held by 326 WorldCat member libraries worldwide
This book considers the theory of 'integrable' nonlinear partial differential equations
12 editions published between 1981 and 2009 in English and held by 326 WorldCat member libraries worldwide
This book considers the theory of 'integrable' nonlinear partial differential equations
Topology I : general survey by
S. P Novikov(
Book
)
13 editions published between 1991 and 1996 in English and held by 266 WorldCat member libraries worldwide
This book constitutes nothing less than an uptodate survey of the whole field of topology (with the exception of "general (settheoretic) topology"), or, in the words of Novikov himself, of what was termed at the end of the 19th century "Analysis Situs", and subsequently diversified into the various subfields of combinatorial, algebraic, differential, homotopic, and geometric topology. The book gives an overview of these subfields, beginning with the elements and proceeding right up to the present frontiers of research. Thus one finds here the whole range of topological concepts from fibre spaces (Chap.2), CWcomplexes, homology and homotopy, through bordism theory and Ktheory to the AdamsNovikov spectral sequence (Chap.3), and in Chapter 4 an exhaustive (but necessarily concentrated) survey of the theory of manifolds. An appendix sketching the recent impressive developments in the theory of knots and links and lowdimensional topology generally, brings the survey right up to the present. This work represents the flagship, as it were, in whose wake follow more detailed surveys of the various subfields, by various authors
13 editions published between 1991 and 1996 in English and held by 266 WorldCat member libraries worldwide
This book constitutes nothing less than an uptodate survey of the whole field of topology (with the exception of "general (settheoretic) topology"), or, in the words of Novikov himself, of what was termed at the end of the 19th century "Analysis Situs", and subsequently diversified into the various subfields of combinatorial, algebraic, differential, homotopic, and geometric topology. The book gives an overview of these subfields, beginning with the elements and proceeding right up to the present frontiers of research. Thus one finds here the whole range of topological concepts from fibre spaces (Chap.2), CWcomplexes, homology and homotopy, through bordism theory and Ktheory to the AdamsNovikov spectral sequence (Chap.3), and in Chapter 4 an exhaustive (but necessarily concentrated) survey of the theory of manifolds. An appendix sketching the recent impressive developments in the theory of knots and links and lowdimensional topology generally, brings the survey right up to the present. This work represents the flagship, as it were, in whose wake follow more detailed surveys of the various subfields, by various authors
Modern geometric structures and fields by
S. P Novikov(
Book
)
11 editions published between 2006 and 2007 in English and held by 227 WorldCat member libraries worldwide
Presents the basics of Riemannian geometry in its modern form as geometry of differentiable manifolds and the important structures on them. This book shows that Riemannian geometry has a great influence to several fundamental areas of modern mathematics and its applications
11 editions published between 2006 and 2007 in English and held by 227 WorldCat member libraries worldwide
Presents the basics of Riemannian geometry in its modern form as geometry of differentiable manifolds and the important structures on them. This book shows that Riemannian geometry has a great influence to several fundamental areas of modern mathematics and its applications
Basic elements of differential geometry and topology by
S. P Novikov(
Book
)
13 editions published in 1990 in English and held by 215 WorldCat member libraries worldwide
13 editions published in 1990 in English and held by 215 WorldCat member libraries worldwide
Solitons, geometry, and topology : on the crossroad(
Book
)
7 editions published between 1996 and 1997 in English and held by 203 WorldCat member libraries worldwide
7 editions published between 1996 and 1997 in English and held by 203 WorldCat member libraries worldwide
Topics in topology and mathematical physics(
Book
)
8 editions published between 1991 and 1995 in English and held by 190 WorldCat member libraries worldwide
8 editions published between 1991 and 1995 in English and held by 190 WorldCat member libraries worldwide
Integrable systems nonholonomic dynamical systems by
V. I Arnolʹd(
Book
)
19 editions published between 1991 and 2011 in English and held by 174 WorldCat member libraries worldwide
This volume contains five surveys on dynamical systems. The first one deals with nonholonomic mechanics and gives an updated and systematic treatment ofthe geometry of distributions and of variational problems with nonintegrable constraints. The modern language of differential geometry used throughout the survey allows for a clear and unified exposition of the earlier work on nonholonomic problems. There is a detailed discussion of the dynamical properties of the nonholonomic geodesic flow and of various related concepts, such as nonholonomic exponential mapping, nonholonomic sphere, etc. Other surveys treat various aspects of integrable Hamiltonian systems, with an emphasis on Liealgebraic constructions. Among the topics covered are: the generalized CalogeroMoser systems based on root systems of simple Lie algebras, a ge neral rmatrix scheme for constructing integrable systems and Lax pairs, links with finitegap integration theory, topologicalaspects of integrable systems, integrable tops, etc. One of the surveys gives a thorough analysis of a family of quantum integrable systems (Toda lattices) using the machinery of representation theory. Readers will find all the new differential geometric and Liealgebraic methods which are currently used in the theory of integrable systems in this book. It will be indispensable to graduate students and researchers in mathematics and theoretical physics
19 editions published between 1991 and 2011 in English and held by 174 WorldCat member libraries worldwide
This volume contains five surveys on dynamical systems. The first one deals with nonholonomic mechanics and gives an updated and systematic treatment ofthe geometry of distributions and of variational problems with nonintegrable constraints. The modern language of differential geometry used throughout the survey allows for a clear and unified exposition of the earlier work on nonholonomic problems. There is a detailed discussion of the dynamical properties of the nonholonomic geodesic flow and of various related concepts, such as nonholonomic exponential mapping, nonholonomic sphere, etc. Other surveys treat various aspects of integrable Hamiltonian systems, with an emphasis on Liealgebraic constructions. Among the topics covered are: the generalized CalogeroMoser systems based on root systems of simple Lie algebras, a ge neral rmatrix scheme for constructing integrable systems and Lax pairs, links with finitegap integration theory, topologicalaspects of integrable systems, integrable tops, etc. One of the surveys gives a thorough analysis of a family of quantum integrable systems (Toda lattices) using the machinery of representation theory. Readers will find all the new differential geometric and Liealgebraic methods which are currently used in the theory of integrable systems in this book. It will be indispensable to graduate students and researchers in mathematics and theoretical physics
Dynamical systems IV : symplectic geometry and its applications(
Book
)
23 editions published between 1985 and 2001 in English and held by 170 WorldCat member libraries worldwide
Dynamical Systems IV Symplectic Geometry and its Applications by V.I. Arnol'd, B.A. Dubrovin, A.B. Givental', A.A. Kirillov, I.M. Krichever, and S.P. Novikov From the reviews of the first edition: " ... In general the articles in this book are well written in a style that enables one to grasp the ideas. The actual style is a readable mix of the important results, outlines of proofs and complete proofs when it does not take too long together with readable explanations of what is going on. Also very useful are the large lists of references which are important not only for their mathematical content but also because the references given also contain articles in the Soviet literature which may not be familiar or possibly accessible to readers." New Zealand Math. Society Newsletter 1991 " ... Here, as well as elsewhere in this Encyclopaedia, a wealth of material is displayed for us, too much to even indicate in a review. ... Your reviewer was very impressed by the contents of both volumes (EMS 2 and 4), recommending them without any restriction. As far as he could judge, most presentations seem fairly complete and, moreover, they are usually written by the experts in the field. ..." Medelingen van het Wiskundig genootshap 1992!
23 editions published between 1985 and 2001 in English and held by 170 WorldCat member libraries worldwide
Dynamical Systems IV Symplectic Geometry and its Applications by V.I. Arnol'd, B.A. Dubrovin, A.B. Givental', A.A. Kirillov, I.M. Krichever, and S.P. Novikov From the reviews of the first edition: " ... In general the articles in this book are well written in a style that enables one to grasp the ideas. The actual style is a readable mix of the important results, outlines of proofs and complete proofs when it does not take too long together with readable explanations of what is going on. Also very useful are the large lists of references which are important not only for their mathematical content but also because the references given also contain articles in the Soviet literature which may not be familiar or possibly accessible to readers." New Zealand Math. Society Newsletter 1991 " ... Here, as well as elsewhere in this Encyclopaedia, a wealth of material is displayed for us, too much to even indicate in a review. ... Your reviewer was very impressed by the contents of both volumes (EMS 2 and 4), recommending them without any restriction. As far as he could judge, most presentations seem fairly complete and, moreover, they are usually written by the experts in the field. ..." Medelingen van het Wiskundig genootshap 1992!
Geometry, topology, and mathematical physics : S.P. Novikov's seminar, 20062007 by
S. P Novikov(
Book
)
4 editions published in 2008 in English and held by 166 WorldCat member libraries worldwide
"This volume contains a selection of papers based on presentations given in 20062007 at the S. P. Novikov Seminar at the Steklov Mathematical Institute in Moscow. The articles address topics in geometry, topology, and mathematical physics. The volume is suitable for graduate students and researchers interested in the corresponding areas of mathematics and physics."BOOK JACKET
4 editions published in 2008 in English and held by 166 WorldCat member libraries worldwide
"This volume contains a selection of papers based on presentations given in 20062007 at the S. P. Novikov Seminar at the Steklov Mathematical Institute in Moscow. The articles address topics in geometry, topology, and mathematical physics. The volume is suitable for graduate students and researchers interested in the corresponding areas of mathematics and physics."BOOK JACKET
Rusʹ sviataia, khrani veru pravoslavnuiu(
)
1 edition published in 1994 in Russian and held by 163 WorldCat member libraries worldwide
1 edition published in 1994 in Russian and held by 163 WorldCat member libraries worldwide
Topology and its applications : proceedings of the International Topology Conference, Baku, October 38, 1987 by International Topological Conference(
Book
)
8 editions published between 1992 and 1993 in English and held by 161 WorldCat member libraries worldwide
8 editions published between 1992 and 1993 in English and held by 161 WorldCat member libraries worldwide
Geometry, topology, and mathematical physics : S.P. Novikov's seminar: 20022003 by S. P. Novikov Seminar(
Book
)
2 editions published in 2004 in English and held by 155 WorldCat member libraries worldwide
2 editions published in 2004 in English and held by 155 WorldCat member libraries worldwide
Discrete geometry and topology : on the 100th anniversary of the birth of Boris Nikolaevich Delone : collection of papers(
Book
)
10 editions published between 1991 and 1993 in English and held by 151 WorldCat member libraries worldwide
10 editions published between 1991 and 1993 in English and held by 151 WorldCat member libraries worldwide
Topology II : homotopy and homology : classical manifolds by
S. P Novikov(
Book
)
11 editions published between 2004 and 2010 in English and held by 121 WorldCat member libraries worldwide
Two top experts in topology, O. Ya. Viro and D.B. Fuchs, give an uptodate account of research in central areas of topology and the theory of Lie groups. They cover homotopy, homology and cohomology as well as the theory of manifolds, Lie groups, Grassmanians and lowdimensional manifolds. Their book will be used by graduate students and researchers in mathematics and mathematical physics
11 editions published between 2004 and 2010 in English and held by 121 WorldCat member libraries worldwide
Two top experts in topology, O. Ya. Viro and D.B. Fuchs, give an uptodate account of research in central areas of topology and the theory of Lie groups. They cover homotopy, homology and cohomology as well as the theory of manifolds, Lie groups, Grassmanians and lowdimensional manifolds. Their book will be used by graduate students and researchers in mathematics and mathematical physics
Topological library(
Book
)
8 editions published in 2012 in English and held by 16 WorldCat member libraries worldwide
The final volume of the threevolume edition, this book features classical papers on algebraic and differential topology published in 195060s. The original methods and constructions from these works are properly documented for the first time in this book. No existing book covers the beautiful ensemble of methods created in topology starting from approximately 1950. That is, from Serre's celebrated "singular homologies of fiber spaces."
8 editions published in 2012 in English and held by 16 WorldCat member libraries worldwide
The final volume of the threevolume edition, this book features classical papers on algebraic and differential topology published in 195060s. The original methods and constructions from these works are properly documented for the first time in this book. No existing book covers the beautiful ensemble of methods created in topology starting from approximately 1950. That is, from Serre's celebrated "singular homologies of fiber spaces."
Topological library(
Book
)
8 editions published in 2007 in English and held by 16 WorldCat member libraries worldwide
This is the first of three volumes collecting the original and now classic works in topology written in the 50s60s. The original methods and constructions from these works are properly documented for the first time in this book. No existing book covers the beautiful ensemble of methods created in topology starting from approximately 1950, that is, from Serre's celebrated "Singular homologies of fibre spaces."This is the translation of the Russian edition published in 2005 with one entry (Milnor's lectures on the hcobordism) omitted
8 editions published in 2007 in English and held by 16 WorldCat member libraries worldwide
This is the first of three volumes collecting the original and now classic works in topology written in the 50s60s. The original methods and constructions from these works are properly documented for the first time in this book. No existing book covers the beautiful ensemble of methods created in topology starting from approximately 1950, that is, from Serre's celebrated "Singular homologies of fibre spaces."This is the translation of the Russian edition published in 2005 with one entry (Milnor's lectures on the hcobordism) omitted
Novikov conjectures, index theorems and rigidity : Oberwolfach 1993(
Book
)
1 edition published in 1995 in English and held by 11 WorldCat member libraries worldwide
1 edition published in 1995 in English and held by 11 WorldCat member libraries worldwide
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Related Identities
 Taĭmanov, I. A. (Iskander Asanovich) 1961 Editor
 Fomenko, A. T.
 Dubrovin, B. A. Author
 Buchstaber, V. M. Editor
 Arnolʹd, V. I. (Vladimir Igorevich) 19372010 Author Editor
 Krichever, I. M. Author
 Scuola normale superiore (Italy)
 Accademia nazionale dei Lincei
 Matematicheskiĭ institut im. V.A. Steklova
 American Mathematical Society
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Associated Subjects
Algebraic topology Boundary value problems Celestial mechanics Chaotic behavior in systems Characteristic classes Church musicRusskai︠a︡ pravoslavnai︠a︡ t︠s︡erkovʹ Cobordism theory Delone, B. N.(Boris Nikolaevich), Differentiable dynamical systems Differentiable manifolds Differential equations Differential equations, Nonlinear Differential topology Discrete geometry Forms, Quadratic Geometry Geometry, Algebraic Geometry, Differential Geometry, Modern Geometry, Riemannian Global differential geometry Homotopy theory Hyperbolic spaces Index theorems Inverse problems (Differential equations) Journalists Manifolds (Mathematics) Mathematical physics Mathematics Mechanics Mechanics, Analytic Nonholonomic dynamical systems Novikov, S. P.(Sergeĭ Petrovich) Novikov, Sergeĭ Novikov conjecture Rigidity (Geometry) Russia Sacred vocal music Scattering (Mathematics) Solitons Soviet Union Symplectic geometry Symplectic groups Symplectic manifolds Topological manifolds Topology Waves
Alternative Names
Novikov, S.
Novikov, S. P.
Novikov, S. P. 1938
Novikov, S. P. (Sergeĭ Petrovich), 1938
Novikov, S. P. (Sergej Petrovič), 1938
Novikov, S. (Sergeĭ)
Novikov, Ser. Petr
Novikov, Ser. Petr. (Sergeĭ Petrovich)
Novikov, Sergeĭ Petrovich
Novikov, Sergei Petrovich 1938
Novikov Sergei Petrovitch 1938....
Novikov, Sergej Petrovič
Novikov, Sergej Petrovič 1938
Novikov, Sergey P. 1938
Nowikow, Sergei P. 1938
Nowikow, Sergei Petrowitsch 1938
Sergei Novikov Mathematician
Sergei Petrovich Novikov
Sergei Petróvitx Nóvikov matemàtic
Sergei Petrowitsch Nowikow russischer Mathematiker
Sergej Novikov wiskundige
Sergej Petrovič Novikov matematico sovietico
Serguéi Nóvikov
Sergueï Novikov mathématicien russe
Siergiej Nowikow matematyk rosyjski
Новиков Сергей Петрович 1938....
Новіков Сергій Петрович
סרגיי נוביקוב מתמטיקאי רוסי
سرگئی نوویکوف ریاضیدان اهل شوروی
سيرغي نوفيكوف
세르게이 노비코프
セルゲイ・ノヴィコフ
謝爾蓋·彼得羅維奇·諾維科夫
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