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Books by Vladimir Arnold
  | | Geometrical Methods in the Theory of Ordinary Differential Equations(2nd Edition) by Vladimir I. Arnold, Mark Levi, J. Szücs, Joseph Szucs, J. Szuecs, Vladimir Igorevich Arnolʹd Hardcover, 351 Pages, Published 1996 by Springer ISBN-13: 978-0-387-96649-6, ISBN: 0-387-96649-8 "Since the first edition of this book, geometrical methods in the theory of ordinary differential equations have become very popular and some progress has been made partly with the help of computers. Much of this progress is represented in this revised, expanded edition, including such topics as the Feigenbaum universality of period doubling, the Zoladec solution, the Iljashenko proof, the Ecalle and Voronin t ..." |
 | | Topological Methods in Hydrodynamics(Reprint) (Applied Mathematical Sciences) by Vladimir I. Arnold, Boris A. Khesin Paperback, 376 Pages, Published 2013 by Springer ISBN-13: 978-1-4757-7153-4, ISBN: 1-4757-7153-3 "The first monograph to treat topological, group-theoretic, and geometric problems of ideal hydrodynamics and magnetohydrodynamics from a unified point of view. It describes the necessary preliminary notions both in hydrodynamics and pure mathematics with numerous examples and figures. The book is accessible to graduates as well as pure and applied mathematicians working in hydrodynamics, Lie groups, dynamical ..." |
 | | Applied Mathematical Sciences Ser.(1st Edition) Topological Methods in Hydrodynamics 125 by Vladimir I. Arnold, Boris A. Khesin, V. I. Arnol'd Digital, 376 Pages, Published 2008 by Springer ISBN-13: 978-0-387-22589-0, ISBN: 0-387-22589-7 "Topological hydrodynamics is a young branch of mathematics studying topological features of flows with complicated trajectories, as well as their applications to fluid motions. It is situated at the crossroad of hyrdodynamical stability theory, Riemannian and symplectic geometry, magnetohydrodynamics, theory of Lie algebras and Lie groups, knot theory, and dynamical systems. Applications of this approach include topological classificati ..." |
 | | 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 ..." |
 | | Topological Methods in Hydrodynamics (Applied Mathematical Sciences) by Vladimir I. Arnold, Boris A. Khesin, Professor V. I. Arnold, Vladimir Igorevič Arnolʹd, Vladimir Igorevich Arnolʹd Hardcover, 376 Pages, Published 1999 by Springer ISBN-13: 978-0-387-94947-5, ISBN: 0-387-94947-X "This book develops the differential geometrical and topological points of view in hydrodynamics. It discusses interactions of hydrodynamics with a wide variety of mathematical domains such as theory of lie groups, differential geometry, topology of knots, magnetic dynamo theory, calculus of variations and hamiltonian mechanics. The exposition contains extensive examples and figures, proofs of the main results, a survey of the recent ..." |
 | | Mathematics(1st Edition) Frontiers and Perspectives by International Mathematical Union, Michael Atiyah, Barry Mazur, Peter Lax, V. I. Arnold, Vladimir Igorevich Arnolʹd, Vladimir Arnold, Peter D. Lax Hardcover, 459 Pages, Published 1999 by Amer Mathematical Society ISBN-13: 978-0-8218-2070-4, ISBN: 0-8218-2070-2 ""The twentieth century has transformed mathematics from a cottage industry run by a few semi-amateurs into a worldwide industry run by an army of professionals ... " --from the Preface by M. Atiyah This remarkable book is a celebration of the state of mathematics at the end of the millennium. Produced under the auspices of the International Mathematical Union (IMU), the volume was born as part of the activities observing the World Mathe ..." |
 | | Thirteen Papers on Functional Analysis and Differential Equations (American Mathematical Society Translations--Series 2) by Vladimir I. Arnol'd, V. I. Arnold, O. V. Besov, V. I. Gurarii, T.M. Karaseva, V.Ja. Lin, Not Available, Vladimir Igorevich Arnolʹd Hardcover, 269 Pages, Published 1968 by Amer Mathematical Society ISBN-13: 978-0-8218-1779-7, ISBN: 0-8218-1779-5 "Sup. (3) 51 (1934), 45-78; Russian trans 1., Uspehi Mat. Nauk 1 (1946), nos. 3-4 ; (13-14), 71-95. MR 9, 606. [9] OA Ladyzenskaja and NN Ural'ceva, ..." |
 | | Eleven Papers on Number Theory, Algebra and Functions of a Complex Variable (American Mathematical Society Translations--Series 2) by S.I. Adjan, S. P. Demuskin, Ju.S. Gurevic, S.S. Kemhadze, V. I. Arnold Hardcover, 284 Pages, Published 1965 by Amer Mathematical Society ISBN-13: 978-0-8218-1746-9, ISBN: 0-8218-1746-9 |
 | | Ordinary Differential Equations(3rd Edition) by Vladimir I. Arnol'd, Roger Cooke, U. S. Arnold, Vladimir Igorevich Arnolʹd Paperback, 322 Pages, Published 1992 by Springer-Verlag ISBN-13: 978-0-387-54813-5, ISBN: 0-387-54813-0 "There are dozens of books on ODEs, but none with the elegant geometric insight of Arnol'd's book. Arnol'd puts a clear emphasis on the qualitative and geometric properties of ODEs and their solutions, rather than on the routine presentation of algorithms for solving special classes of equations. Of course, the reader learns how to solve equations, but with much more understanding of the systems, the solutions and the techniques. V ..." |
 | | 001 Singularities of Differentiable Maps: Volume I: The Classification of Critical Points Caustics and Wave Fronts (Monographs in Mathematics) by Vladimir I. Arnold, Alexander N. Varchenko, Chef Arnold, Gusein-Zade Hardcover, 396 Pages, Published 1985 by Birkhäuser ISBN-13: 978-0-8176-3187-1, ISBN: 0-8176-3187-9 "... there is nothing so enthralling, so grandiose, nothing that stuns or captivates the human soul quite so much as a first course in a science. After the first five or six lectures one already holds the brightest hopes, already sees oneself as a seeker after truth. I too have wholeheartedly pursued science passionately, as one would a beloved woman. I was a slave, and sought no other sun in my life. Day and night I crammed myself, bend ..." |
 | | Bioinformatics and Computational Biology Solutions Using R and Bioconductor by Vladimir Igorevic Arnol'd, V. V. Goryunov, V. I. Arnold, O.V. Lyashko, V. A. Vasil'ev Hardcover, 500 Pages, Published 1993 by Springer-Verlag ISBN-13: 978-0-387-50583-1, ISBN: 0-387-50583-0 "1. Ordinary differential equations and smooth dynamical systems by D.V. Anosov, V.I. Arnold (eds.). 2." |
 | | Dynamical Systems VIII Singularity Theory II : Applications (Encyclopaedia of Mathematical Sciences) by Vladimir J. Arnol'd, Vladimir Igorevic Arnol'd, Vladimir Igorevich Arnolʹd, V. I. Arnold, Arnol磀vladimir Igorevich Hardcover, 228 Pages, Published 1993 by Springer-Verlag ISBN-13: 978-0-387-53376-6, ISBN: 0-387-53376-1 "This volume of the EMS is devoted to applications of singularity theory in mathematics and physics. The authors Arnol'd, Vasil'ev, Goryunov and Lyashko study bifurcation sets arising in various contexts such as the stability of singular points of dynamical systems, boundaries of the domains of ellipticity and hyperbolicity of partial differentail equations, boundaries of spaces of oscillating linear equations with variable coefficients ..." |
 | | Dynamical systems(1st Edition) (Encyclopaedia of mathematical sciences) by V.I. Arnold, D. V. Anosov, A.I. Neishtadt, Valery V. Kozlov, Vladimir I. Arnol'd Hardcover, Published 1988 by Springer-Verlag ISBN-13: 978-0-387-17002-2, ISBN: 0-387-17002-2 "This work describes the fundamental principles, problems, and methods of classical mechanics. The authors have endeavored to give an exposition stressing the working apparatus of classical mechanics, rather than its physical foundations or applications. Chapter 1 is devoted to the fundamental mathematical models which are usually employed to describe the motion of real mechanical systems. Chapter 2 presents the n-body problem as a gener ..." |
 | | Reversible Crystal Plasticity(1st Edition) by Vladimir S. Boyko, Ruvin I. Garber, Arnold M. Kossevich, Vladimir Samuilovich Boĭko, Arnold Markovitch Kosevitch, Arnold Markovich Kosevich, Ruth Garber, Arnolʹd Markovich Kosevich Hardcover, 314 Pages, Published 1997 by Springer ISBN-13: 978-0-88318-869-9, ISBN: 0-88318-869-4 "Market: Research scientists and students in materials science, physical metallurgy, and solid state physics. This detailed monograph presents the theory of reversible plasticity as a new direction of development in crystal physics. It features a unique integration of traditional concepts and new studies of high- temperature superconductors, plus in-depth analyses of various related phenomena. Among the topics discussed are elastic twinn ..." |
 | | The Arnoldfest(1st Edition) Proceedings of a Conference in Honour of V.I. Arnold for His Sixtieth Birthday (Fields Institute Communications, V. 24) by Edward Bierstone, Askold Khovanskii, Boris Khesin, Vladimir Igorevich Arnolʹd, Jerrold E. Marsden, V. I. Arnold, Boris A. Khesin Hardcover, 555 Pages, Published 1999 by Amer Mathematical Society ISBN-13: 978-0-8218-0945-7, ISBN: 0-8218-0945-8 "This volume presents articles originating from invited talks at an exciting international conference held at The Fields Institute in Toronto celebrating the sixtieth birthday of the renowned mathematician, Vladimir Arnold. Experts from the world over---including several from "Arnold's school"---gave illuminating talks and lively poster sessions. The presentations focussed on Arnold's main areas of interest: singularity theory, th ..." |
 | | Yesterday And Long Ago (Hb) by Vladimir I. Arnold, Leonora P. Kotova Hardcover, 230 Pages, Published 2006 by Springer ISBN-13: 978-3-540-28734-6, ISBN: 3-540-28734-5 "This is a charming collection of essays on life and science, by one of the leading mathematicians of our day. Vladimir Igorevich Arnold is renowned for his achievements in mathematics, and nearly as famous for his informal teaching style, and for the clarity and accessibility of his writing. The chapter headings convey Arnold's humor and restless imagination. A few examples: My first recollections; The combin ..." |
 | | Real Algebraic Geometry by Vladimir I. Arnold, Ilia Itenberg, Viatcheslav Kharlamov, Gerald G. Gould, Eugenii I. Shustin, David Kramer Paperback, 120 Pages, Published 2013 by Springer ISBN-13: 978-3-642-36242-2, ISBN: 3-642-36242-7 "This book is concerned with one of the most fundamental questions of mathematics: the relationship between algebraic formulas and geometric images.At one of the first international mathematical congresses (in Paris in 1900), Hilbert stated a special case of this question in the form of his 16th problem (from his list of 23 problems left over from the nineteenth century as a legacy ..." |
 | | Yesterday and Long Ago by Vladimir I. Arnold Paperback, 230 Pages, Published 2010 by Springer ISBN-13: 978-3-642-06686-3, ISBN: 3-642-06686-0 "This is a charming collection of essays on life and science, by one of the leading mathematicians of our day. Vladimir Igorevich Arnold is renowned for his achievements in mathematics, and nearly as famous for his informal teaching style, and for the clarity and accessibility of his writing. The chapter headings convey Arnold's humor and restless imagination. A few examples: My first recollections; The combin ..." |
 | | Topological Methods in Hydrodynamics by Vladimir I. Arnold Paperback, Published 2022 by Springer Nature Switzerland Ag ISBN-13: 978-3-030-74280-5, ISBN: 3-030-74280-6 |
 | | Ordinary Differential Equations (Universitext) by Vladimir I. Arnold, Roger Cooke, Vladimir Igorevich Arnolʹd Paperback, 334 Pages, Published 2006 by Springer ISBN-13: 978-3-540-34563-3, ISBN: 3-540-34563-9 "There are dozens of books on ODEs, but none with the elegant geometric insight of Arnol'd's book. Arnol'd puts a clear emphasis on the qualitative and geometric properties of ODEs and their solutions, rather than on theroutine presentation of algorithms for solving special classes of equations.Of course, the reader learns how to solve equations, but with much more understanding of the systems, the solutions and the techniques. Vector fi ..." |
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