WorldCat Identities

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
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Most widely held works by S. P Novikov
Modern geometry--methods 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
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

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

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' non-linear 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 up-to-date survey of the whole field of topology (with the exception of "general (set-theoretic) 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), CW-complexes, homology and homotopy, through bordism theory and K-theory to the Adams-Novikov 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 low-dimensional 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
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

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

Topics in topology and mathematical physics( Book )

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 Lie-algebraic constructions. Among the topics covered are: the generalized Calogero-Moser systems based on root systems of simple Lie algebras, a ge- neral r-matrix scheme for constructing integrable systems and Lax pairs, links with finite-gap 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 Lie-algebraic 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!
Geometry, topology, and mathematical physics : S.P. Novikov's seminar, 2006-2007 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 2006-2007 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

Topology and its applications : proceedings of the International Topology Conference, Baku, October 3-8, 1987 by International Topological Conference( Book )

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: 2002-2003 by S. P. Novikov Seminar( Book )

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

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 up-to-date 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 low-dimensional 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 three-volume edition, this book features classical papers on algebraic and differential topology published in 1950-60s. 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 50s-60s. 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 h-cobordism) 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

 
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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

Languages
Covers
Theory of solitons : the inverse scattering methodSolitons and geometryIntegrable systems : selected papersTopology I : general surveyModern geometric structures and fieldsBasic elements of differential geometry and topologySolitons, geometry, and topology : on the crossroadTopics in topology and mathematical physics