Arnolʹd, V. I. (Vladimir Igorevich) 19372010
Overview
Works:  276 works in 1,742 publications in 7 languages and 22,445 library holdings 

Genres:  History Biography Bibliography 
Roles:  Author, Editor, Honoree, Other, Dedicatee, Adapter, ed, Creator 
Classifications:  QA805, 531.01515 
Publication Timeline
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Most widely held works about
V. I Arnolʹd
 Yesterday and long ago by Vladimir Igorevič Arnol'd( Book )
 Arnold : swimming against the tide( Book )
 Singularities of functions, wave fronts, caustics and multidimensional integrals by V. I Arnolʹd( Book )
 Des nombres et des mondes actes du colloque tenu à l'occasion du départ à la retraite de Guy Wallet by E Benoît( Book )
 Complément à la théorie d'Arnold de l'indice de Maslov by Jean Leray( Book )
 Point sur un papier de V.I. Arnold by Hélène Lanchon( Book )
 Local and global problems of singularity theory : collected papers in honor of sixtieth birthday of Academician Vladimir Igorevich Arnold( Book )
 Metod Li︠a︡punovaArnolʹda v gidrodinamicheskoĭ teorii ustoĭchivosti by V. A Kali︠a︡gin( Book )
 Solutions asymptotiques des équations aux dérivées partielles : (une adaptation du Traité de V.P. Maslov) by Jean Leray( Book )
 Istorii davnie i nedavnie by V. I Arnolʹd( Book )
 Analysis and singularities : collected papers dedicated to Vladimir Igorevich Arnold on the occasion of his 70th birthday( Book )
 Vladimir I. Arnold and Louis Nirenberg : Crafoord Prize in mathematics 1982( Book )
 Arnold, Vladimir Igorevich : Mathematics( )
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Most widely held works by
V. I Arnolʹd
Ordinary differential equations by
V. I Arnolʹd(
Book
)
130 editions published between 1971 and 2012 in 5 languages and held by 1,847 WorldCat member libraries worldwide
Although there is no lack of other books on this subject, even with the same title, the appearance of this new one is fully justified on at least two grounds: its approach makes full use of modern mathematical concepts and terminology of considerable sophistication and abstraction, going well beyond the traditional presentation of the subject; and, at the same time, the resulting enhancement of mathematical abstractness is counterbalanced by a constant appeal to geometrical and physical considerations, presented in the main text and in numerous problems and exercises. In the terms of mathematical approach, the text is dominated by two central ideas: the theorem on rectifiability of a vector field (which is equivalent to the usual theorems on existence, uniqueness, and differentiability of solutions) and the theory of oneparameter groups of linear transformations (equivalent to the theory of linear autonomous systems). The book also develops whole congeries of fundamental conceptslike phase space and phase flows, smooth manifolds and tangent bundles, vector fields and oneparameter groups of diffeomorphismsthat remain in the shadows in the traditional coordinatebased approach. All of these concepts are presented in some detail, but without assuming any background on the part of the reader beyond the scope of the standard elementary courses on analysis and linear algebra
130 editions published between 1971 and 2012 in 5 languages and held by 1,847 WorldCat member libraries worldwide
Although there is no lack of other books on this subject, even with the same title, the appearance of this new one is fully justified on at least two grounds: its approach makes full use of modern mathematical concepts and terminology of considerable sophistication and abstraction, going well beyond the traditional presentation of the subject; and, at the same time, the resulting enhancement of mathematical abstractness is counterbalanced by a constant appeal to geometrical and physical considerations, presented in the main text and in numerous problems and exercises. In the terms of mathematical approach, the text is dominated by two central ideas: the theorem on rectifiability of a vector field (which is equivalent to the usual theorems on existence, uniqueness, and differentiability of solutions) and the theory of oneparameter groups of linear transformations (equivalent to the theory of linear autonomous systems). The book also develops whole congeries of fundamental conceptslike phase space and phase flows, smooth manifolds and tangent bundles, vector fields and oneparameter groups of diffeomorphismsthat remain in the shadows in the traditional coordinatebased approach. All of these concepts are presented in some detail, but without assuming any background on the part of the reader beyond the scope of the standard elementary courses on analysis and linear algebra
Mathematical methods of classical mechanics by
V. I Arnolʹd(
Book
)
105 editions published between 1974 and 2014 in 5 languages and held by 1,655 WorldCat member libraries worldwide
In this text, the author constructs the mathematical apparatus of classical mechanics from the beginning, examining all the basic problems in dynamics, including the theory of oscillations, the theory of rigid body motion, and the Hamiltonian formalism. This modern approch, based on the theory of the geometry of manifolds, distinguishes iteself from the traditional approach of standard textbooks. Geometrical considerations are emphasized throughout and include phase spaces and flows, vector fields, and Lie groups. The work includes a detailed discussion of qualitative methods of the theory of dynamical systems and of asymptotic methods like perturbation techniques, averaging, and adiabatic invariance
105 editions published between 1974 and 2014 in 5 languages and held by 1,655 WorldCat member libraries worldwide
In this text, the author constructs the mathematical apparatus of classical mechanics from the beginning, examining all the basic problems in dynamics, including the theory of oscillations, the theory of rigid body motion, and the Hamiltonian formalism. This modern approch, based on the theory of the geometry of manifolds, distinguishes iteself from the traditional approach of standard textbooks. Geometrical considerations are emphasized throughout and include phase spaces and flows, vector fields, and Lie groups. The work includes a detailed discussion of qualitative methods of the theory of dynamical systems and of asymptotic methods like perturbation techniques, averaging, and adiabatic invariance
Catastrophe theory by
V. I Arnolʹd(
Book
)
70 editions published between 1981 and 2004 in 6 languages and held by 1,316 WorldCat member libraries worldwide
"This short book, which is a translation from the original Russian, provides a concise, nonmathematical review of the less controversial results in catastrophe theory. The author begins by describing the established results in the theory of singularities and bifurcation and continues with chapters on the applications of the theory to topics such as wavefront propagation, the distribution of matter within the universe, and optimisation and control. The presentation is enhanced by numerous diagrams. ... This is a short, critical and nonmathematical review of catastrophe theory which will provide a useful introduction to the subject."Physics Bulletin
70 editions published between 1981 and 2004 in 6 languages and held by 1,316 WorldCat member libraries worldwide
"This short book, which is a translation from the original Russian, provides a concise, nonmathematical review of the less controversial results in catastrophe theory. The author begins by describing the established results in the theory of singularities and bifurcation and continues with chapters on the applications of the theory to topics such as wavefront propagation, the distribution of matter within the universe, and optimisation and control. The presentation is enhanced by numerous diagrams. ... This is a short, critical and nonmathematical review of catastrophe theory which will provide a useful introduction to the subject."Physics Bulletin
Ergodic problems of classical mechanics by
V. I Arnolʹd(
Book
)
45 editions published between 1966 and 1999 in 4 languages and held by 885 WorldCat member libraries worldwide
45 editions published between 1966 and 1999 in 4 languages and held by 885 WorldCat member libraries worldwide
Dynamical systems by
V. I Arnolʹd(
Book
)
88 editions published between 1988 and 2009 in 4 languages and held by 785 WorldCat member libraries worldwide
A survey of singularity theory and its main applications. It covers: the critical points of functions; monodromy groups of critical points; basic properties of maps; and the global theory of singularities
88 editions published between 1988 and 2009 in 4 languages and held by 785 WorldCat member libraries worldwide
A survey of singularity theory and its main applications. It covers: the critical points of functions; monodromy groups of critical points; basic properties of maps; and the global theory of singularities
Ordinary differential equations and smooth dynamical systems by
V. I Arnolʹd(
Book
)
104 editions published between 1985 and 2010 in 4 languages and held by 782 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
104 editions published between 1985 and 2010 in 4 languages and held by 782 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
Mathematics : frontiers and perspectives(
Book
)
15 editions published between 1999 and 2000 in English and held by 653 WorldCat member libraries worldwide
15 editions published between 1999 and 2000 in English and held by 653 WorldCat member libraries worldwide
Huygens and Barrow, Newton and Hooke : pioneers in mathematical analysis and catastrophe theory from evolvents to quasicrystals by
V. I Arnolʹd(
Book
)
23 editions published between 1989 and 1992 in 3 languages and held by 636 WorldCat member libraries worldwide
Translated from the Russian by E.J.F. Primrose "Remarkable little book."SIAM REVIEW V.I. Arnold, who is renowned for his lively style, retraces the beginnings of mathematical analysis and theoretical physics in the works (and the intrigues!) of the great scientists of the 17th century. Some of Huygens' and Newton's ideas. several centuries ahead of their time, were developed only recently. The author follows the link between their inception and the breakthroughs in contemporary mathematics and physics. The book provides presentday generalizations of Newton's theorems on the elliptical shape of orbits and on the transcendence of abelian integrals; it offers a brief review of the theory of regular and chaotic movement in celestial mechanics, including the problem of ports in the distribution of smaller planets and a discussion of the structure of planetary rings
23 editions published between 1989 and 1992 in 3 languages and held by 636 WorldCat member libraries worldwide
Translated from the Russian by E.J.F. Primrose "Remarkable little book."SIAM REVIEW V.I. Arnold, who is renowned for his lively style, retraces the beginnings of mathematical analysis and theoretical physics in the works (and the intrigues!) of the great scientists of the 17th century. Some of Huygens' and Newton's ideas. several centuries ahead of their time, were developed only recently. The author follows the link between their inception and the breakthroughs in contemporary mathematics and physics. The book provides presentday generalizations of Newton's theorems on the elliptical shape of orbits and on the transcendence of abelian integrals; it offers a brief review of the theory of regular and chaotic movement in celestial mechanics, including the problem of ports in the distribution of smaller planets and a discussion of the structure of planetary rings
Lectures on partial differential equations by
V. I Arnolʹd(
Book
)
21 editions published between 2004 and 2009 in English and German and held by 599 WorldCat member libraries worldwide
Arnold illustrates every principle with a figure. This book aims to cover the most basic parts of the subject and confines itself largely to the Cauchy and Neumann problems for the classical linear equations of mathematical physics, especially Laplace's equation and the wave equation, although the heat equation and the Kortewegde Vries equation are also discussed. Physical intuition is emphasized. A large number of problems are sprinkled throughout the book, and a full set of problems from examinations given in Moscow are included at the end. Some of these problems are quite challenging!What makes the book unique is Arnold's particular talent at holding a topic up for examination from a new and fresh perspective. He likes to blow away the fog of generality that obscures so much mathematical writing and reveal the essentially simple intuitive ideas underlying the subject
21 editions published between 2004 and 2009 in English and German and held by 599 WorldCat member libraries worldwide
Arnold illustrates every principle with a figure. This book aims to cover the most basic parts of the subject and confines itself largely to the Cauchy and Neumann problems for the classical linear equations of mathematical physics, especially Laplace's equation and the wave equation, although the heat equation and the Kortewegde Vries equation are also discussed. Physical intuition is emphasized. A large number of problems are sprinkled throughout the book, and a full set of problems from examinations given in Moscow are included at the end. Some of these problems are quite challenging!What makes the book unique is Arnold's particular talent at holding a topic up for examination from a new and fresh perspective. He likes to blow away the fog of generality that obscures so much mathematical writing and reveal the essentially simple intuitive ideas underlying the subject
The theory of singularities and its applications by
V. I Arnolʹd(
Book
)
32 editions published between 1990 and 1993 in English and held by 570 WorldCat member libraries worldwide
32 editions published between 1990 and 1993 in English and held by 570 WorldCat member libraries worldwide
Integrable systems nonholonomic dynamical systems by
V. I Arnolʹd(
Book
)
81 editions published between 1988 and 2011 in 3 languages and held by 516 WorldCat member libraries worldwide
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 nbody problem as a generalization of the 2body problem. Chapter 3 is concerned with the symmetry groups of mechanical systems and the corresponding conservation laws. Chapter 4 contains a brief survey of various approaches to the problem of the integrability of the equations of motion. Chapter 5 is devoted to one of the most fruitful branches of mechanics  perturbation theory. Chapter 6 is related to chapters 4 and 5, and studies the theoretical possibility of integrating the equations of motion. Elements of the theory of oscillations are given in chapter 7. The main purpose of the book is to acquaint the reader with classical mechanics as a whole, in both its classical and its contemporary aspects. The "Encyclopaedia of Mathematical Sciences" addresses all mathematicians, physicists and enigneers
81 editions published between 1988 and 2011 in 3 languages and held by 516 WorldCat member libraries worldwide
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 nbody problem as a generalization of the 2body problem. Chapter 3 is concerned with the symmetry groups of mechanical systems and the corresponding conservation laws. Chapter 4 contains a brief survey of various approaches to the problem of the integrability of the equations of motion. Chapter 5 is devoted to one of the most fruitful branches of mechanics  perturbation theory. Chapter 6 is related to chapters 4 and 5, and studies the theoretical possibility of integrating the equations of motion. Elements of the theory of oscillations are given in chapter 7. The main purpose of the book is to acquaint the reader with classical mechanics as a whole, in both its classical and its contemporary aspects. The "Encyclopaedia of Mathematical Sciences" addresses all mathematicians, physicists and enigneers
Mathematical aspects of classical and celestial mechanics by
V. I Arnolʹd(
Book
)
56 editions published between 1988 and 2009 in English and German and held by 470 WorldCat member libraries worldwide
Describes the fundamental principles, problems, and methods of classical mechanics. This book devotes its attention to the mathematical side of the subject. It aims to acquaint the reader with classical mechanics as a whole, in both its classical and its contemporary aspects
56 editions published between 1988 and 2009 in English and German and held by 470 WorldCat member libraries worldwide
Describes the fundamental principles, problems, and methods of classical mechanics. This book devotes its attention to the mathematical side of the subject. It aims to acquaint the reader with classical mechanics as a whole, in both its classical and its contemporary aspects
Topological methods in hydrodynamics by
V. I Arnolʹd(
Book
)
34 editions published between 1899 and 2013 in English and Undetermined and held by 467 WorldCat member libraries worldwide
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 classification of steady fluid flows, descriptions of the Kortewegde Vries equation as a geodesic flow, and results on Riemannian geometry of diffeomorphism groups, explaining, in particular, why longterm dynamical weather forecasts are not reliable. Topological Methods in Hydrodynamics is the first monograph to treat topological, grouptheoretic, and geometric problems of ideal hydrodynamics and magnetohydrodynamics for a unified point of view. The necessary preliminary notions both in hydrodynamics and pure mathematics are described with plenty of examples and figures. The book is accessible to graduate students as well as to both pure and applied mathematicians working in the fields of hydrodynamics, Lie groups, dynamical systems and differential geometry
34 editions published between 1899 and 2013 in English and Undetermined and held by 467 WorldCat member libraries worldwide
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 classification of steady fluid flows, descriptions of the Kortewegde Vries equation as a geodesic flow, and results on Riemannian geometry of diffeomorphism groups, explaining, in particular, why longterm dynamical weather forecasts are not reliable. Topological Methods in Hydrodynamics is the first monograph to treat topological, grouptheoretic, and geometric problems of ideal hydrodynamics and magnetohydrodynamics for a unified point of view. The necessary preliminary notions both in hydrodynamics and pure mathematics are described with plenty of examples and figures. The book is accessible to graduate students as well as to both pure and applied mathematicians working in the fields of hydrodynamics, Lie groups, dynamical systems and differential geometry
Singularity theory : selected papers by
V. I Arnolʹd(
Book
)
26 editions published in 1981 in English and Undetermined and held by 404 WorldCat member libraries worldwide
Professor Arnold is a prolific and versatile mathematician who has done striking work in differential equations and geometrical aspects of analysis
26 editions published in 1981 in English and Undetermined and held by 404 WorldCat member libraries worldwide
Professor Arnold is a prolific and versatile mathematician who has done striking work in differential equations and geometrical aspects of analysis
Arnold's problems by
V. I Arnolʹd(
Book
)
31 editions published between 2000 and 2006 in English and German and held by 352 WorldCat member libraries worldwide
"Arnold's Problems contains mathematical problems which have been brought up by Vladimir Arnold in his famous seminar at Moscow State University over several decades. In addition, there are problems published in his numerous papers and books." "The invariable peculiarity of these problems was that mathematics was considered not as a game with deductive reasonings and symbols, but as a part of natural science (especially of physics), i.e. as an experimental science. Many of these problems are at the frontier of research still today and are still open, and even those that are mainly solved keep stimulating new research appearing every year in journals all over the world." "The second part of the book is a collection of comments of mostly Arnold's former students about the current progress in the problems' solution (featuring bibliography inspired by them)." "This book will be of great interest to researchers and graduate students in mathematics and mathematical physics."Jacket
31 editions published between 2000 and 2006 in English and German and held by 352 WorldCat member libraries worldwide
"Arnold's Problems contains mathematical problems which have been brought up by Vladimir Arnold in his famous seminar at Moscow State University over several decades. In addition, there are problems published in his numerous papers and books." "The invariable peculiarity of these problems was that mathematics was considered not as a game with deductive reasonings and symbols, but as a part of natural science (especially of physics), i.e. as an experimental science. Many of these problems are at the frontier of research still today and are still open, and even those that are mainly solved keep stimulating new research appearing every year in journals all over the world." "The second part of the book is a collection of comments of mostly Arnold's former students about the current progress in the problems' solution (featuring bibliography inspired by them)." "This book will be of great interest to researchers and graduate students in mathematics and mathematical physics."Jacket
Topological invariants of plane curves and caustics by
V. I Arnolʹd(
Book
)
18 editions published between 1944 and 2000 in English and held by 323 WorldCat member libraries worldwide
18 editions published between 1944 and 2000 in English and held by 323 WorldCat member libraries worldwide
Trends and perspectives in applied mathematics by
L Sirovich(
Book
)
2 editions published in 1994 in English and held by 310 WorldCat member libraries worldwide
This will be the 100th volume of the Applied Mathematical Sciences series. In order to mark the occasion, this special volume has been created which will impact in an important way on the community that practices and is served by applied mathematics. Ten leading figures in the field present their own perspective of applied mathematics. The articles that are collected in this volume bear testimony to both the vitality and diversity of the subject. The contributors included here are: V.I. Arnol'd, Peter Constantin, Mitchell J. Feigenbaum, Martin Golubitsky, Daniel D. Joseph, Leo P. Kadanoff, HeinzOtto Kreiss, H.P. McKean, Jerrold Marsden, and Roger Temam. The articles cover such topics as: mathematical problems in classical physics; geometric and analytic studies in turbulence; viscous and viscoelastic potential flow; difference methods for time dependent partial differential equations; geometric mechanics, stability and control. This special volume will be dedicated to Fritz John. John is one of the earliest advisors for the Springer Verlag mathematics program, which includes his capacity as a series editor for the Applied Mathematical Sciences series. This volume appears in his honor
2 editions published in 1994 in English and held by 310 WorldCat member libraries worldwide
This will be the 100th volume of the Applied Mathematical Sciences series. In order to mark the occasion, this special volume has been created which will impact in an important way on the community that practices and is served by applied mathematics. Ten leading figures in the field present their own perspective of applied mathematics. The articles that are collected in this volume bear testimony to both the vitality and diversity of the subject. The contributors included here are: V.I. Arnol'd, Peter Constantin, Mitchell J. Feigenbaum, Martin Golubitsky, Daniel D. Joseph, Leo P. Kadanoff, HeinzOtto Kreiss, H.P. McKean, Jerrold Marsden, and Roger Temam. The articles cover such topics as: mathematical problems in classical physics; geometric and analytic studies in turbulence; viscous and viscoelastic potential flow; difference methods for time dependent partial differential equations; geometric mechanics, stability and control. This special volume will be dedicated to Fritz John. John is one of the earliest advisors for the Springer Verlag mathematics program, which includes his capacity as a series editor for the Applied Mathematical Sciences series. This volume appears in his honor
Dynamics, statistics and projective geometry of Galois fields by
V. I Arnolʹd(
Book
)
15 editions published between 2010 and 2011 in English and Undetermined and held by 228 WorldCat member libraries worldwide
"V. I. Arnold reveals some unexpected connections between such apparently unrelated theories as Galois fields, dynamical systems, ergodic theory, statistics, chaos and the geometry of projective structures on finite sets. The author blends experimental results with examples and geometrical explorations to make these findings accessible to a broad range of mathematicians, from undergraduate students to experienced researchers"
15 editions published between 2010 and 2011 in English and Undetermined and held by 228 WorldCat member libraries worldwide
"V. I. Arnold reveals some unexpected connections between such apparently unrelated theories as Galois fields, dynamical systems, ergodic theory, statistics, chaos and the geometry of projective structures on finite sets. The author blends experimental results with examples and geometrical explorations to make these findings accessible to a broad range of mathematicians, from undergraduate students to experienced researchers"
Real algebraic geometry by
V. I Arnolʹd(
Book
)
14 editions published in 2013 in English and held by 109 WorldCat member libraries worldwide
"This book is concerned with one of the most fundamental question of mathematics: the relationship between algebraic formulas and geometric images. At one of the first international mathematic 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 ninteenth century as a legacy for the twentieth century). In spite of the simplicity and importance of this problem (including its numerous applications), it remains unsolved to this day (although, as you will now see, many remarkable results have been discovered)"Page 4 of cover
14 editions published in 2013 in English and held by 109 WorldCat member libraries worldwide
"This book is concerned with one of the most fundamental question of mathematics: the relationship between algebraic formulas and geometric images. At one of the first international mathematic 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 ninteenth century as a legacy for the twentieth century). In spite of the simplicity and importance of this problem (including its numerous applications), it remains unsolved to this day (although, as you will now see, many remarkable results have been discovered)"Page 4 of cover
Collected works by
V. I Arnolʹd(
Book
)
25 editions published in 2009 in English and Undetermined and held by 33 WorldCat member libraries worldwide
Vladimir Arnold is one of the great mathematical scientists of our time. He is famous for both the breadth and the depth of his work. At the same time he is one of the most prolific and outstanding mathematical authors. This first volume of his Collected Works focuses on representations of functions, celestial mechanics, and KAM theory
25 editions published in 2009 in English and Undetermined and held by 33 WorldCat member libraries worldwide
Vladimir Arnold is one of the great mathematical scientists of our time. He is famous for both the breadth and the depth of his work. At the same time he is one of the most prolific and outstanding mathematical authors. This first volume of his Collected Works focuses on representations of functions, celestial mechanics, and KAM theory
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 Varchenko, A. N. (Aleksandr Nikolaevich) Contributor Editor
 Khesin, Boris A. Contributor Editor
 Avez, A. (André)
 Givental, Alexander Contributor Author Editor
 Kozlov, V. V.
 Neĭshtadt, A. I.
 International Mathematical Union
 Anosov, D. V. Author Editor
 Vasilʹev, V. A. 1956 Contributor Editor
 GuseĭnZade, S. M. (Sabir Medzhidovich) Contributor
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Algebra Algebra, Homological Arnolʹd, V. I.(Vladimir Igorevich), Bifurcation theory Catastrophes (Mathematics) Celestial mechanics Chaotic behavior in systems Critical point theory (Mathematical analysis) Curves on surfaces Differentiable dynamical systems Differentiable mappings Differential equations Differential equations, Partial Differential equationsAsymptotic theory Differential topology Dynamics Ergodic theory Finite fields (Algebra) Galois theory Geometry Geometry, Algebraic Geometry, Differential Global analysis (Mathematics) Gödel, Kurt Hamiltonian systems Hydrodynamics John, Fritz, Klein, Felix, Knot theory Leibniz, Gottfried Wilhelm,Freiherr von, Lyapunov functions Mathematical analysis Mathematical analysisFoundations Mathematical physics Mathematicians Mathematics Mechanics, Analytic Monodromy groups Nonholonomic dynamical systems Nonstandard mathematical analysis Physics Russia Russia (Federation) ScienceMathematics Singularities (Mathematics) Soviet Union Stability Symplectic geometry Symplectic manifolds Topology
Alternative Names
Arnol′d Vladimir Igorevich 19372010
Arnol′d Vladimir Igorevitch 19372010
Arnold 19372010 V.
Arnold, V.
Arnold, V. 19372010
Arnold , V. I.
Arnold, V. I. 1937
Arnolʹd, V.I. 19372010
Arnolʹd, V. I. (Vladimir Igorevič), 19372010
Arnolʹd, V. I. (Vladimir Igorevich)
Arnol'd, V. I. (Vladimir Igorevich), 1937
Arnold, Vl 19372010
Arnolʹd, Vladimir
Arnolʹd, Vladimir 19372010
Arnolʹd , Vladimir I.
Arnolʹd, Vladimir I. 19372010
Arnolʹd, Vladimir Igorevič
Arnolʹd, Vladimir Igorʹevič 19372010
Arnolʹd, Vladimir Igorevich
Arnolʹd, Vladimir Igorevich 1937
Arnolʹd, Vladimir Igorevich 19372010
Arnold, W. I.
Vladimir Arnold mathématicien russe
Vladimir Arnold Russian mathematician
Vladimir Arnold Russisch wiskundige (19372010)
Vladimir Arnold russisk matematikar
Vladimir Arnold russisk matematiker
Vladimir Arnold rysk matematiker
Vladimir Igorevič Arnol'd matematico russo
Vladimir Igorevich Arnold
Vladimir Igorjevič Arnold
Vladimirs Arnolds
Vladimirus Arnold
Władimir Arnold
Wladimir Igorewitsch Arnold russischer Mathematiker
Βλαντιμίρ Άρνολντ Ρώσος μαθηματικός
Арнольд В. И. 19372010
Арнольд, В. И. (Владимир Игоревич)
Арнольд, В.И. (Владимир Игоревич), 19372010
Арнольд, Владимир Игоревич.
Арнольд, Владимир Игоревич 19372010
Арнольд Володимир Ігорович
Владимир Арнолд
ולדימיר ארנולד
فلاديمير أرنولد
ولادیمیر آرنولد ریاضیدان روسی
விளாதிமிர் ஆர்னோல்டு
블라디미르 아르놀트
アーノルド, V. I.
ウラジーミル・アーノルド
弗拉基米爾·阿諾爾德
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