Novikov, S. P. (Sergeĭ Petrovich)
Overview
Works:  205 works in 841 publications in 7 languages and 11,014 library holdings 

Genres:  Conference papers and proceedings 
Roles:  Author, Editor, Honoree, Dedicatee, Performer, Actor, Other 
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 by Steven C Ferry( 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
)
127 editions published between 1984 and 2010 in 5 languages and held by 1,190 WorldCat member libraries worldwide
Modern geometry:Methods and appli./Dubrovin...v.1
127 editions published between 1984 and 2010 in 5 languages and held by 1,190 WorldCat member libraries worldwide
Modern geometry:Methods and appli./Dubrovin...v.1
Theory of solitons : the inverse scattering method by
S. P Novikov(
Book
)
11 editions published in 1984 in English and held by 370 WorldCat member libraries worldwide
11 editions published in 1984 in English and held by 370 WorldCat member libraries worldwide
Solitons and geometry by
S. P Novikov(
Book
)
26 editions published between 1992 and 2009 in English and held by 347 WorldCat member libraries worldwide
26 editions published between 1992 and 2009 in English and held by 347 WorldCat member libraries worldwide
Integrable systems : selected papers by
S. P Novikov(
Book
)
17 editions published between 1981 and 2009 in English and held by 338 WorldCat member libraries worldwide
17 editions published between 1981 and 2009 in English and held by 338 WorldCat member libraries worldwide
Topology I : general survey by
S. P Novikov(
Book
)
17 editions published between 1991 and 1996 in English and held by 277 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
17 editions published between 1991 and 1996 in English and held by 277 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
Dynamical systems IV : symplectic geometry and its applications by
V. I Arnolʹd(
Book
)
39 editions published between 1985 and 2001 in English and held by 272 WorldCat member libraries worldwide
This book takes a snapshot of the mathematical foundations of classical and quantum mechanics from a contemporary mathematical viewpoint. It covers a number of important recent developments in dynamical systems and mathematical physics and places them in the framework of the more classical approaches; the presentation is enhanced by many illustrative examples concerning topics which have been of especial interest to workers in the field, and by sketches of the proofs of the major results. The comprehensive bibliographies are designed to permit the interested reader to retrace the major stages in the development of the field if he wishes. Not so much a detailed textbook for plodding students, this volume, like the others in the series, is intended to lead researchers in other fields and advanced students quickly to an understanding of the 'state of the art' in this area of mathematics. As such it will serve both as a basic reference work on important areas of mathematical physics as they stand today, and as a good starting point for further, more detailed study for people new to this field
39 editions published between 1985 and 2001 in English and held by 272 WorldCat member libraries worldwide
This book takes a snapshot of the mathematical foundations of classical and quantum mechanics from a contemporary mathematical viewpoint. It covers a number of important recent developments in dynamical systems and mathematical physics and places them in the framework of the more classical approaches; the presentation is enhanced by many illustrative examples concerning topics which have been of especial interest to workers in the field, and by sketches of the proofs of the major results. The comprehensive bibliographies are designed to permit the interested reader to retrace the major stages in the development of the field if he wishes. Not so much a detailed textbook for plodding students, this volume, like the others in the series, is intended to lead researchers in other fields and advanced students quickly to an understanding of the 'state of the art' in this area of mathematics. As such it will serve both as a basic reference work on important areas of mathematical physics as they stand today, and as a good starting point for further, more detailed study for people new to this field
Modern geometric structures and fields by
S. P Novikov(
Book
)
14 editions published between 1900 and 2007 in English and held by 243 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
14 editions published between 1900 and 2007 in English and held by 243 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
)
16 editions published between 1990 and 2010 in English and held by 233 WorldCat member libraries worldwide
One service mathematics has rendered the 'Et moi ..., si j'avait su comment en revenir, je n'y serais point aile.' human race. It has put common sense back Jules Verne where it belongs, on the topmost shelf next to the dusty canister labelled 'discarded n sense'. The series is divergent; therefore we may be able to do something with it. Eric T. Bell O. Heaviside Matht"natics is a tool for thought. A highly necessary tool in a world where both feedback and non linearities abound. Similarly, all kinds of parts of mathematics seNe as tools for other parts and for other sciences. Applying a simple rewriting rule to the quote on the right above one finds such statements as: 'One service topology has rendered mathematical physics .. .'; 'One service logic has rendered com puter science .. .'; 'One service category theory has rendered mathematics .. .'. All arguably true. And all statements obtainable this way form part of the raison d'etre of this series
16 editions published between 1990 and 2010 in English and held by 233 WorldCat member libraries worldwide
One service mathematics has rendered the 'Et moi ..., si j'avait su comment en revenir, je n'y serais point aile.' human race. It has put common sense back Jules Verne where it belongs, on the topmost shelf next to the dusty canister labelled 'discarded n sense'. The series is divergent; therefore we may be able to do something with it. Eric T. Bell O. Heaviside Matht"natics is a tool for thought. A highly necessary tool in a world where both feedback and non linearities abound. Similarly, all kinds of parts of mathematics seNe as tools for other parts and for other sciences. Applying a simple rewriting rule to the quote on the right above one finds such statements as: 'One service topology has rendered mathematical physics .. .'; 'One service logic has rendered com puter science .. .'; 'One service category theory has rendered mathematics .. .'. All arguably true. And all statements obtainable this way form part of the raison d'etre of this series
Rusʹ sviataia, khrani veru pravoslavnuiu(
)
1 edition published in 1994 in Russian and held by 220 WorldCat member libraries worldwide
1 edition published in 1994 in Russian and held by 220 WorldCat member libraries worldwide
Solitons, geometry, and topology : on the crossroad by
V. M Buchstaber(
)
10 editions published in 1997 in English and held by 214 WorldCat member libraries worldwide
This collection contains articles reflecting the most recent activity in topology and mathematical physics presented at the S. Novikov Seminar held in Moscow. Papers in the volume are devoted to problems in geometry, topology, and mathematical physics, including applications of topology to physical problems. Such a combination is a longstanding tradition of the seminar, which originated in 1965
10 editions published in 1997 in English and held by 214 WorldCat member libraries worldwide
This collection contains articles reflecting the most recent activity in topology and mathematical physics presented at the S. Novikov Seminar held in Moscow. Papers in the volume are devoted to problems in geometry, topology, and mathematical physics, including applications of topology to physical problems. Such a combination is a longstanding tradition of the seminar, which originated in 1965
Géométrie contemporaine : méthodes et applications by
B. A Dubrovin(
Book
)
46 editions published between 1979 and 1987 in 4 languages and held by 204 WorldCat member libraries worldwide
46 editions published between 1979 and 1987 in 4 languages and held by 204 WorldCat member libraries worldwide
Integrable systems nonholonomic dynamical systems by
V. I Arnolʹd(
Book
)
30 editions published between 1988 and 2011 in English and held by 203 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
30 editions published between 1988 and 2011 in English and held by 203 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
Topics in topology and mathematical physics(
Book
)
10 editions published between 1991 and 1995 in English and held by 199 WorldCat member libraries worldwide
The papers in this collection grew out of talks recently presented at S. P. Novikov's seminar on topology and mathematical physics in Moscow. They are devoted to various problems in the theory of completely integrable systems and relations to topology, algebra, and mathematical physics
10 editions published between 1991 and 1995 in English and held by 199 WorldCat member libraries worldwide
The papers in this collection grew out of talks recently presented at S. P. Novikov's seminar on topology and mathematical physics in Moscow. They are devoted to various problems in the theory of completely integrable systems and relations to topology, algebra, and mathematical physics
Geometry, topology, and mathematical physics : S.P. Novikov's seminar, 20062007 by
S. P Novikov(
Book
)
5 editions published in 2008 in English and held by 169 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."Jacket
5 editions published in 2008 in English and held by 169 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."Jacket
Topology and its applications : proceedings of the International Topology Conference, Baku, October 38, 1987 by International Topological Conference(
Book
)
9 editions published between 1992 and 1993 in English and held by 166 WorldCat member libraries worldwide
9 editions published between 1992 and 1993 in English and held by 166 WorldCat member libraries worldwide
Discrete geometry and topology : on the 100th anniversary of the birth of Boris Nikolaevich Delone : collection of papers(
Book
)
12 editions published between 1991 and 1993 in English and held by 160 WorldCat member libraries worldwide
12 editions published between 1991 and 1993 in English and held by 160 WorldCat member libraries worldwide
Topology II : homotopy and homology : classical manifolds by
S. P Novikov(
Book
)
17 editions published between 2003 and 2010 in English and held by 137 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
17 editions published between 2003 and 2010 in English and held by 137 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
Novikov conjectures, index theorems, and rigidity : Oberwolfach, 1993 by
Steven C Ferry(
Book
)
2 editions published in 1995 in English and held by 22 WorldCat member libraries worldwide
The Novikov conjecture is the single most important unsolved problem in the topology of highdimensional nonsimply connected manifolds. These two volumes give a snapshot of the status of work on the Novikov conjecture and related topics from many points of view: geometric topology, homotopy theory, algebra, geometry, and analysis. Volume 1 contains a detailed historical survey and bibliography of the Novikov conjecture and of related subsequent developments, including an annotated reprint (both in the original Russian and in English translation) of Novikov 's original 1970 statement of his conjecture ; an annotated problem list; the texts of several important unpublished classic papers by Milnor, Browder, and Kasparov; and research/survey papers on the Novikov conjecture by Ferry/Weinberger, Gromov, Mishchenko, Quinn, Ranicki, and Rosenberg. Volume 2 contains fundamental long research papers by G. Carlsson on "Bounded Ktheory and the assembly map in algebraic Ktheory" and by S. Ferry and E. Pedersen on "Epsilon surgery theory"; and shorter research and survey papers on various topics related to the Novikov conjecture, by Bekka, Cherix, Valette, Eichhorn, and others. These volumes will appeal to researchers interested in learning more about this intriguing area
2 editions published in 1995 in English and held by 22 WorldCat member libraries worldwide
The Novikov conjecture is the single most important unsolved problem in the topology of highdimensional nonsimply connected manifolds. These two volumes give a snapshot of the status of work on the Novikov conjecture and related topics from many points of view: geometric topology, homotopy theory, algebra, geometry, and analysis. Volume 1 contains a detailed historical survey and bibliography of the Novikov conjecture and of related subsequent developments, including an annotated reprint (both in the original Russian and in English translation) of Novikov 's original 1970 statement of his conjecture ; an annotated problem list; the texts of several important unpublished classic papers by Milnor, Browder, and Kasparov; and research/survey papers on the Novikov conjecture by Ferry/Weinberger, Gromov, Mishchenko, Quinn, Ranicki, and Rosenberg. Volume 2 contains fundamental long research papers by G. Carlsson on "Bounded Ktheory and the assembly map in algebraic Ktheory" and by S. Ferry and E. Pedersen on "Epsilon surgery theory"; and shorter research and survey papers on various topics related to the Novikov conjecture, by Bekka, Cherix, Valette, Eichhorn, and others. These volumes will appeal to researchers interested in learning more about this intriguing area
Topological library by
S. P Novikov(
Book
)
14 editions published in 2012 in English and Undetermined and held by 22 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."
14 editions published in 2012 in English and Undetermined and held by 22 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
)
11 editions published in 2007 in English and held by 17 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
11 editions published in 2007 in English and held by 17 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
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Related Identities
 Taĭmanov, I. A. (Iskander Asanovich) 1961 Author Editor
 Fomenko, A. T. Author
 Dubrovin, B. A. Author Editor
 Buchstaber, V. M. Other Honoree Author Editor
 Arnolʹd, V. I. (Vladimir Igorevich) 19372010 Author Editor
 Krichever, I. M. Author Editor
 Sosinskiĭ, A. B. (Alekseĭ Bronislavovich) Translator
 Matematicheskiĭ institut im. V.A. Steklova
 Scuola normale superiore (Italy)
 Accademia nazionale dei Lincei Other Publisher Editor
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Associated Subjects
Algebraic spaces Algebraic topology Boundary value problems Calculus of tensors Calculus of variations 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 Homology theory Homotopy groups Homotopy theory Hyperbolic spaces Index theorems Inverse problems (Differential equations) Journalists Manifolds (Mathematics) Mathematical physics Mechanics, Analytic Nonholonomic dynamical systems Novikov, S. P.(Sergeĭ Petrovich) Novikov, Sergeĭ Novikov conjecture Rigidity (Geometry) Russia Sacred vocal music Scattering (Mathematics) Solitons Surfaces, Algebraic Symplectic geometry Symplectic manifolds Topological manifolds Topology Transformation groups Transformations (Mathematics) 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, Serge 1938
Novikov, Sergei 1938
Novikov, Sergeĭ Petrovich
Novikov, Sergei Petrovich 1938
Novikov Sergei Petrovitch 1938....
Novikov, Sergej Petrovič
Novikov, Sergej Petrovič 1938
Novikov, Sergey P. 1938
Nowikow, Serge 1938
Nowikow, Sergei P. 1938
Nowikow, Sergei Petrowitsch 1938
Sergei Novikov Mathematician
Sergei Novikov Soviet and Russian mathematician
Sergei Petrovich Novikov
Sergei Petróvitx Nóvikov matemàtic
Sergei Petrowitsch Nowikow russischer Mathematiker
Sergej Novikov wiskundige
Sergej Petrovič Novikov matematico sovietico
Serguéi Nóvikov
Serguéi Nóvikov matemático ruso
Sergueï Novikov mathématicien russe
Siergiej Nowikow matematyk rosyjski
Σεργκέι Νόνικοφ
Новиков Сергей Петрович 1938....
Новіков Сергій Петрович
סרגיי נוביקוב מתמטיקאי רוסי
سرگئی نوویکوف ریاضیدان اهل شوروی
سيرغي نوفيكوف
سيرغي نوفيكوف رياضياتي روسي
ဆာဂေး နိုဗီကော့ဗ်
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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