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Books by Novikov
  | | Modern Geometry - Methods and Applications(Reprint) Part III: Introduction to Homology Theory (Graduate Texts in Mathematics) by B.A. Dubrovin, A.T. Fomenko, S.P. Novikov, Robert G. Burns Paperback, 432 Pages, Published 2011 by Springer New York ISBN-13: 978-1-4612-8791-9, ISBN: 1-4612-8791-X "Over the past fifteen years, the geometrical and topological methods of the theory of manifolds have as- sumed a central role in the most advanced areas of pure and applied mathematics as well as theoretical physics. The three volumes of Modern Geometry - Methods and Applications contain a concrete exposition of these methods together with their main applications in mathematics and physics. This third volume, ..." |
 | | Dynamical Systems IV Symplectic Geometry and Its Applications (Encyclopaedia of Mathematical Sciences) by V. I. Arnold, S. P. Novikov, Vladimir I. Arnol'd, Sergeĭ Petrovich Novikov Hardcover, 283 Pages, Published 1990 by Springer Verlag ISBN-13: 978-0-387-17003-9, ISBN: 0-387-17003-0 "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 ..." |
 | | 71(Illustrated) Modern Geometric Structures And Fields (Graduate Studies in Mathematics) by I. A. Taimanov, Sergei Petrovich Novikov, I.S. Novikov, Сергей Петрович Новиков, Искандер Асанович Тайманов, Dmitry Chibisov, Sergej P. Novikov, Novikov Taimanov, Iskander Asanovich Taĭmanov Hardcover, 633 Pages, Published 2006 by American Mathematical Society ISBN-13: 978-0-8218-3929-4, ISBN: 0-8218-3929-2 "The book presents the basics of Riemannian geometry in its modern form as geometry of differentiable manifolds and the most important structures on them. The authors' approach is that the source of all constructions in Riemannian geometry is a manifold that allows one to compute scalar products of tangent vectors. With this approach, the authors show that Riemannian geometry has a great influence to several fundamental areas of modern m ..." |
 | | Modern Geometry - Methods and Applications(Reprint) Part II: The Geometry and Topology of Manifolds (Graduate Texts in Mathematics) by B.A. Dubrovin, A.T. Fomenko, S.P. Novikov, R.G. Burns Paperback, 432 Pages, Published 2012 by Springer ISBN-13: 978-1-4612-7011-9, ISBN: 1-4612-7011-1 "Up until recently, Riemannian geometry and basic topology were not included, even by departments or faculties of mathematics, as compulsory subjects in a university-level 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 bee ..." |
 | | Graduate Texts in Mathematics Ser. Modern Geometry - Methods and Applications : Part I. the Geometry of Surfaces, Transformation Groups, and Fields 93 by A.T. Fomenko, B. A. Dubrovin, S.P. Novikov 464 Pages, Published 2013 by Springer Science & Business Media ISBN-13: 978-1-4684-9946-9, ISBN: 1-4684-9946-7 "Part I. The Geometry of Surfaces, Transformation Groups, and Fields B.A. Dubrovin, A.T. Fomenko, S.P. Novikov ... 53-01 Library of Congress Cataloging in Publication Data Dubrovin, B. A. Modern geometry—methods and applications. ... 1984 by Springer Science+Business Media New York Originally published by Springer-Verlag New York Inc. in 1984 Softcover reprint of the hardcover 1st edition 1984 ..." |
 | | Modern Geometry— Methods and Applications Part II: The Geometry and Topology of Manifolds by A.T. Fomenko, B. A. Dubrovin, S.P. Novikov, Robert G. Burns 432 Pages, Published 2012 by Springer Science & Business Media ISBN-13: 978-1-4612-1100-6, ISBN: 1-4612-1100-X "Part II: The Geometry and Topology of Manifolds B.A. Dubrovin, A.T. Fomenko, S.P. Novikov. Department of Mathematics and Mechanics Moscow State University Moscow University V-234 Moscow Leninskie Gory Russia Moscow ... ( Springer series in Soviet mathematics) (Graduate texts in mathematics; 93- ) “ Original Russian edition . ... MediaNew York Originally published by Springer- Verlag New York Inc. in 1985 Softcover reprint of the hardc ..." |
 | | Topics in Topology and Mathematical Physics. [Subtitle]: (American Mathematical Society Translations, Series 2, Volume 170 / Advances in Mathematical Sciences 27. ) by Sergeĭ Petrovich Novikov, S. P. Novikov, I.S. Novikov Hardcover, 206 Pages, Published 1995 by American Mathematical Society ISBN-13: 978-0-8218-0455-1, ISBN: 0-8218-0455-3 "Two Papers on Extremal Problems in Complex Analysis 128 I. K. Zhuk et al., Thirteen Papers in Algebra and Number Theory 127 P. L. ... 113 A. F. Lavrik et al., Twelve Papers in Logic and Algebra 112 D. A. Gudkov and G. A. Utkin, Nine Papers on Hilbert's 16th Problem ... 91 L. I. Barklon et al., Eighteen Papers on Analysis and Quantum Mechanics (See the AMS catalog for earlier titles) Cornell University ..." |
 | | Modern Geometry - Methods and Applications(2nd Edition) Part I: The Geometry of Surfaces, Transformation Groups, and Fields (Graduate Texts in Mathematics) (Pt. 1) by B. A. Dubrovin, A.T. Fomenko, S.P. Novikov, R.G. Burns, Robert G. Burns, I. S. Novikov, Sergeĭ Petrovich Novikov Hardcover, 470 Pages, Published 1991 by Springer ISBN-13: 978-0-387-97663-1, ISBN: 0-387-97663-9 "This is the first volume of a three-volume introduction to modern geometry, with emphasis on applications to other areas of mathematics and theoretical physics. Topics covered include tensors and their differential calculus, the calculus of variations in one and several dimensions, and geometric field theory. This material is explained in as simple and concrete a language as possible, in a terminology acceptable to physicists. The text ..." |
 | | Topology I General Survey (Encyclopaedia of Mathematical Sciences) by S. P. Novikov, Sergeĭ Petrovich Novikov Hardcover, 319 Pages, Published 1996 by Springer Verlag ISBN-13: 978-0-387-17007-7, ISBN: 0-387-17007-3 "This work represents the flagship, as it were, in whose wake follow more detailed surveys of the various subfields, by various authors." |
 | | Discrete Geometry and Topology On the 100th Anniversary of the Birth of Boris Nikolaevich Delone : Collection of Papers (Proceedings of the Steklov Institute of Mathematics) by S. P. Novikov, Boris Nikolaevich Delone, Sergeĭ Petrovich Novikov, American Mathematical Society, Sergei Sergeevich Ryshkov, N. P. Dolbilin, M. A. Shtan'ko, B. N. Delone, N. Dolbiln, I.S. Novikov Paperback, 193 Pages, Published 1993 by Amer Mathematical Society ISBN-13: 978-0-8218-3147-2, ISBN: 0-8218-3147-X "This collection of papers honors the 100th anniversary of the birth of Boris Nikolaevich Delone, whose mathematical interests centered on the geometry of positive quadratic forms. After an initial paper presenting an account of Delone's life, including his scientific work, the book centers on discrete geometry and combinatorics. The book presents new methods that permit a description of the structure of some $L$-bodies and $L$-pa ..." |
 | | Modern Geometry - Methods and Applications Part II: The Geometry and Topology of Manifolds (Graduate Texts in Mathematics) (Part 2) by Boris A. Dubrovin, Anatolij T. Fomenko, Sergej P.: Novikov, R.G. Burns, I. S. Novikov, Sergeĭ Petrovich Novikov Hardcover, 432 Pages, Published 1985 by Springer ISBN-13: 978-0-387-96162-0, ISBN: 0-387-96162-3 "Up until recently, Riemannian geometry and basic topology were not included, even by departments or faculties of mathematics, as compulsory subjects in a university-level 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 bee ..." |
 | | Modern Geometry - Methods and Applications(2nd Edition) Part I: The Geometry of Surfaces, Transformation Groups, and Fields (Graduate Texts in Mathematics) by B.A. Dubrovin, A.T. Fomenko, S.P. Novikov, R.G. Burns Paperback, 470 Pages, Published 2011 by Springer ISBN-13: 978-1-4612-8756-8, ISBN: 1-4612-8756-1 |
 | | Theory of Solitons The Inverse Scattering Method (Monographs in Contemporary Mathematics) by Sergeĭ Petrovich Novikov, L.P. Pitaevskii, S.V. Manakov, V.E. Zakharov Hardcover, 276 Pages, Published 1984 by Springer ISBN-13: 978-0-306-10977-5, ISBN: 0-306-10977-8 "C. Gardner et al . , Phys . Rev. Lett., l9:l095, l967. 30. P. D. Lax, Commun. Pure Appl . Math., 2l:467, l968. 3l. V. E. Zakharov, Zhur. Eks . Teor. Fiz. 60:993(3), l97l. 32. C. Gardner, J. Math. Phys. l2:l548, l97l. 33. V. E. Zakharov and L. D. Faddeev, ..." |
 | | Geometry, Topology, and Mathematical Physics(1st Edition) (American Mathematical Society Translations Series 2) by V.M. Buchstaber, I. M. Krichever, N. N. Uraltseva, Sergeĭ Petrovich Novikov, Viktor M. Buchštaber, Krichever Buchstaber Hardcover, 324 Pages, Published 2004 by Amer Mathematical Society ISBN-13: 978-0-8218-3613-2, ISBN: 0-8218-3613-7 "This volume contains a selection of papers based on presentations given at the S. P. Novikov seminar held at the Steklov Mathematical Institute in Moscow. The topics and speakers were chosen by the well-known expert, S. P. Novikov, one of the leading mathematicians of the twentieth century. His diverse interests are the tradition of the seminar and are reflected in the topics presented in the book. The book begins with Novikov's paper a ..." |
 | | Geometry, Topology, and Mathematical Physics (American Mathematical Society Translations Series 2) by V. M. Buchstaber, I. M. Krichever, Buchstaber Krichever, Sergeĭ Petrovich Novikov, Viktor M. Buchštaber Hardcover, 284 Pages, Published 2008 by American Mathematical Society ISBN-13: 978-0-8218-4674-2, ISBN: 0-8218-4674-4 |
 | | Topology I General Survey (Encyclopaedia of Mathematical Sciences) (v. 1) by S.P. Novikov, B. Botvinnik, R. Burns, I.S. Novikov, Sergeĭ Petrovich Novikov Hardcover, 322 Pages, Published 1996 by Springer ISBN-13: 978-3-540-17007-5, ISBN: 3-540-17007-3 "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. It gives an overview of these subfields, beginnin ..." |
 | | Basic Elements of Differential Geometry and Topology(Reprint) (Mathematics and its Applications) by S.P. Novikov, A.T. Fomenko Paperback, 490 Pages, Published 2010 by Springer ISBN-13: 978-90-481-4080-0, ISBN: 90-481-4080-3 "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 ..." |
 | | Dynamical Systems IV(Reprint) Symplectic Geometry and its Applications (Encyclopaedia of Mathematical Sciences) by G. Wassermann, V.I. Arnol'd, A. Dzhamay, S.P. Novikov, B.A. Dubrovin, A.B. Givental', I.M. Krichever, Alexandre Kirillov Paperback, 335 Pages, Published 2010 by Springer ISBN-13: 978-3-642-08297-9, ISBN: 3-642-08297-1 "From the reviews of the first edition: ..". In general the articles ... 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 ..." |
 | | 1(Reprint) Topology I: General Survey (Encyclopaedia of Mathematical Sciences) by S.P. Novikov, B. Botvinnik, R. Burns Paperback, 322 Pages, Published 2010 by Springer ISBN-13: 978-3-642-05735-9, ISBN: 3-642-05735-7 "Introduction In the present essay, we attempt to convey some idea of the skeleton of topology, and of various topological concepts. It must be said at once that, apart from the necessary minimum, the subject-matter of this survey does not indude that subdiscipline known as "general topology" - the theory of general spaces and maps considered in the context of set theory and general category theory. (Doubtless this subject will be survey ..." |
 | | Topology II by D. B. Fuchs, O.Ya. Viro, C. Shaddock, V.A. Rokhlin, S.P. Novikov, Sergeĭ Petrovich Novikov Hardcover, 295 Pages, Published 2004 by Springer ISBN-13: 978-3-540-51996-6, ISBN: 3-540-51996-3 "to Homotopy Theory O. Ya. Viro, D. B. Fuchs Translated from the Russian by C. J. Shaddock Contents Chapter 1. Basic Concepts . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 4 1. Terminology and Notations . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 4 1. 1. Set Theory . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 4 1. 2. Logical Equivalence ..." |
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