Arnolʹd, V. I. (Vladimir Igorevich) 19372010
Overview
Works:  325 works in 1,927 publications in 8 languages and 25,969 library holdings 

Genres:  History Biography Bibliography 
Roles:  Author, Editor, Honoree, Other, Thesis advisor, Creator, Dedicatee, Adapter, ed 
Classifications:  QA614.58, 515.352 
Publication Timeline
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Most widely held works about
V. I Arnolʹd
 Yesterday and long ago by V. I Arnolʹd( Book )
 Arnold : swimming against the tide by Boris A Khesin( 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 )
 Metod Li︠a︡punovaArnolʹda v gidrodinamicheskoĭ teorii ustoĭchivosti by V. A Kali︠a︡gin( Book )
 Point sur un papier de V.I. Arnold by Hélène Lanchon( Book )
 Solutions asymptotiques des équations aux dérivées partielles : (une adaptation du Traité de V.P. Maslov) by Jean Leray( Book )
 Local and global problems of singularity theory : collected papers in honor of sixtieth birthday of academician Vladimir Igorevich Arnold ; [editor of the anniversary collection, V.M. Zakalyukin] by V. M Zakalyukin( Book )
 Vladimir Igorevich Arnold : 12 June 1937  3 June 2010 by S Yakovenko( Book )
 Istorii davnie i nedavnie by V. I Arnolʹd( Book )
 Vladimir I. Arnold and Louis Nirenberg : Crafoord Prize in mathematics 1982( Book )
 Arnold, Vladimir Igorevich : Mathematics( )
 Analysis and singularities : collected papers dedicated to academician Vladimir Igorevich Arnold on the occasion of his 70th birthday( Book )
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Most widely held works by
V. I Arnolʹd
Ordinary differential equations by
V. I Arnolʹd(
Book
)
126 editions published between 1971 and 2012 in 5 languages and held by 2,056 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
126 editions published between 1971 and 2012 in 5 languages and held by 2,056 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
)
102 editions published between 1974 and 2010 in 3 languages and held by 1,748 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
102 editions published between 1974 and 2010 in 3 languages and held by 1,748 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
)
89 editions published between 1981 and 2009 in 7 languages and held by 1,584 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
89 editions published between 1981 and 2009 in 7 languages and held by 1,584 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
Singularity theory : selected papers by
V. I Arnolʹd(
)
25 editions published in 1981 in English and Undetermined and held by 1,253 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. In this volume are collected seven of his survey articles from Russian Mathematical Surveys on singularity theory, the area to which he has made most contribution. These surveys contain Arnold's own analysis and synthesis of a decade's work. All those interested in singularity theory will find this an invaluable compilation. Professor C. T. C. Wall has written an introduction outlining the significance and content of the articles
25 editions published in 1981 in English and Undetermined and held by 1,253 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. In this volume are collected seven of his survey articles from Russian Mathematical Surveys on singularity theory, the area to which he has made most contribution. These surveys contain Arnold's own analysis and synthesis of a decade's work. All those interested in singularity theory will find this an invaluable compilation. Professor C. T. C. Wall has written an introduction outlining the significance and content of the articles
Geometrical methods in the theory of ordinary differential equations by
V. I Arnolʹd(
Book
)
41 editions published between 1982 and 2012 in English and German and held by 1,076 WorldCat member libraries worldwide
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 theory, the Varchenko and Hovanski theorems, and the Neistadt theory. In the selection of material for this book, the author explains basic ideas and methods applicable to the study of differential equations. Special efforts were made to keep the basic ideas free from excessive technicalities. Thus the most fundamental questions are considered in great detail, while of the more special and difficult parts of the theory have the character of a survey. Consequently, the reader needs only a general mathematical knowledge to easily follow this text. It is directed to mathematicians, as well as all users of the theory of differential equations
41 editions published between 1982 and 2012 in English and German and held by 1,076 WorldCat member libraries worldwide
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 theory, the Varchenko and Hovanski theorems, and the Neistadt theory. In the selection of material for this book, the author explains basic ideas and methods applicable to the study of differential equations. Special efforts were made to keep the basic ideas free from excessive technicalities. Thus the most fundamental questions are considered in great detail, while of the more special and difficult parts of the theory have the character of a survey. Consequently, the reader needs only a general mathematical knowledge to easily follow this text. It is directed to mathematicians, as well as all users of the theory of differential equations
Singularities of differentiable maps by
V. I Arnolʹd(
Book
)
51 editions published between 1985 and 2012 in English and German and held by 928 WorldCat member libraries worldwide
Annotation
51 editions published between 1985 and 2012 in English and German and held by 928 WorldCat member libraries worldwide
Annotation
Arnold's problems by
V. I Arnolʹd(
)
29 editions published between 2000 and 2005 in English and German and held by 766 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
29 editions published between 2000 and 2005 in English and German and held by 766 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 methods in hydrodynamics by
V. I Arnolʹd(
Book
)
31 editions published between 1997 and 2009 in English and Undetermined and held by 691 WorldCat member libraries worldwide
Topological Methods in Hydrodynamics is the first monograph to treat topological, grouptheoretic, and geometric problems of ideal hydrodynamics and magnetohydrodynamics from 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 pure and applied mathematicians working in the fields of hydrodynamics, Lie groups, dynamical systems, and differential geometry
31 editions published between 1997 and 2009 in English and Undetermined and held by 691 WorldCat member libraries worldwide
Topological Methods in Hydrodynamics is the first monograph to treat topological, grouptheoretic, and geometric problems of ideal hydrodynamics and magnetohydrodynamics from 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 pure and applied mathematicians working in the fields of hydrodynamics, Lie groups, dynamical systems, and differential geometry
Huygens and Barrow, Newton and Hooke : pioneers in mathematical analysis and catastrophe theory from evolvents to quasicrystals by
V. I Arnolʹd(
Book
)
22 editions published between 1989 and 1992 in 3 languages and held by 686 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
22 editions published between 1989 and 1992 in 3 languages and held by 686 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 664 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 664 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
Mathematical aspects of classical and celestial mechanics by
V. I Arnolʹd(
)
30 editions published between 1988 and 2009 in English and German and held by 656 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
30 editions published between 1988 and 2009 in English and German and held by 656 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
Mathematics : frontiers and perspectives(
Book
)
15 editions published between 1999 and 2000 in English and held by 650 WorldCat member libraries worldwide
15 editions published between 1999 and 2000 in English and held by 650 WorldCat member libraries worldwide
Ergodic problems of classical mechanics by
V. I Arnolʹd(
Book
)
30 editions published between 1968 and 1989 in English and Spanish and held by 618 WorldCat member libraries worldwide
30 editions published between 1968 and 1989 in English and Spanish and held by 618 WorldCat member libraries worldwide
The theory of singularities and its applications by
V. I Arnolʹd(
Book
)
35 editions published between 1990 and 1993 in English and held by 578 WorldCat member libraries worldwide
35 editions published between 1990 and 1993 in English and held by 578 WorldCat member libraries worldwide
Singularities of differentiable maps by
V. I Arnolʹd(
)
44 editions published between 1985 and 2012 in English and German and held by 498 WorldCat member libraries worldwide
Annotation
44 editions published between 1985 and 2012 in English and German and held by 498 WorldCat member libraries worldwide
Annotation
Bifurcation theory and catastrophe theory by
V. I Arnolʹd(
Book
)
46 editions published between 1988 and 2009 in 3 languages and held by 472 WorldCat member libraries worldwide
Bifurcation theory and catastrophe theory are two of the best known areas within the field of dynamical systems. Both are studies of smooth systems, focusing on properties that seem to be manifestly nonsmooth. Bifurcation theory is concerned with the sudden changes that occur in a system when one or more parameters are varied. Examples of such are familiar to students of differential equations, from phase portraits. Moreover, understanding the bifurcations of the differential equations that describe real physical systems provides important information about the behavior of the systems. Catastrophe theory became quite famous during the 1970's, mostly because of the sensation caused by the usually less than rigorous applications of its principal ideas to "hot topics", such as the characterization of personalities and the difference between a "genius" and a "maniac". Catastrophe theory is accurately described as singularity theory and its (genuine) applications. The authors of this book, the first printing of which was published as Volume 5 of the Encyclopaedia of Mathematical Sciences, have given a masterly exposition of these two theories, with penetrating insight
46 editions published between 1988 and 2009 in 3 languages and held by 472 WorldCat member libraries worldwide
Bifurcation theory and catastrophe theory are two of the best known areas within the field of dynamical systems. Both are studies of smooth systems, focusing on properties that seem to be manifestly nonsmooth. Bifurcation theory is concerned with the sudden changes that occur in a system when one or more parameters are varied. Examples of such are familiar to students of differential equations, from phase portraits. Moreover, understanding the bifurcations of the differential equations that describe real physical systems provides important information about the behavior of the systems. Catastrophe theory became quite famous during the 1970's, mostly because of the sensation caused by the usually less than rigorous applications of its principal ideas to "hot topics", such as the characterization of personalities and the difference between a "genius" and a "maniac". Catastrophe theory is accurately described as singularity theory and its (genuine) applications. The authors of this book, the first printing of which was published as Volume 5 of the Encyclopaedia of Mathematical Sciences, have given a masterly exposition of these two theories, with penetrating insight
Real algebraic geometry by
V. I Arnolʹd(
)
15 editions published in 2013 in English and held by 432 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
15 editions published in 2013 in English and held by 432 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
Dynamical systems IV : symplectic geometry and its applications by
V. I Arnolʹd(
Book
)
40 editions published between 1985 and 2001 in English and German and held by 430 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
40 editions published between 1985 and 2001 in English and German and held by 430 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
Dynamical systems by
V. I Arnolʹd(
Book
)
42 editions published between 1988 and 1998 in 4 languages and held by 421 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
42 editions published between 1988 and 1998 in 4 languages and held by 421 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
Collected works by
V. I Arnolʹd(
)
19 editions published in 2009 in English and Undetermined and held by 410 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
19 editions published in 2009 in English and Undetermined and held by 410 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) Other Contributor Editor
 GuseĭnZade, S. M. (Sabir Medzhidovich) Other Contributor
 Givental, Alexander Other Contributor Author Editor
 Levi, Mark 1951 Editor
 Avez, A. (André)
 Khesin, Boris A. Contributor Editor
 Novikov, S. P. (Sergeĭ Petrovich) Editor
 Neĭshtadt, A. I.
 Kozlov, V. V.
 International Mathematical Union
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Algebra Algebra, Homological Arnolʹd, V. I.(Vladimir Igorevich), Bifurcation theory Catastrophes (Mathematics) Celestial mechanics Cell aggregationMathematics Critical point theory (Mathematical analysis) Differentiable dynamical systems Differentiable mappings Differential algebra Differential equations Differential equations, Partial Differential equationsAsymptotic theory Differential topology Dynamics Ergodic theory Geometry Geometry, Algebraic Geometry, Differential Global analysis (Mathematics) Global differential geometry Gödel, Kurt Holomorphic mappings Hydrodynamics HydrodynamicsMathematical models Integral equationsAsymptotic theory Klein, Felix, Leibniz, Gottfried Wilhelm,Freiherr von, Lyapunov functions Lyapunov stability Mathematical analysis Mathematical analysisFoundations Mathematical physics Mathematicians Mathematics Mechanics, Analytic Monodromy groups Nonstandard mathematical analysis Russia Russia (Federation) ScienceMathematics Singularities (Mathematics) Soviet Union Stability Symplectic geometry Symplectic manifolds Topological groups Topology United States
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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, Vladimir Igorevitch, 1937
Arnold, W. I.
Vladímir Arnold matemàtic rus
Vladimir Arnold matematician rus
Vladímir Arnold matemático ruso
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 Arnold Venemaa matemaatik
Vladimir Igoreviĉ Arnold
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
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
Уладзімір Ігаравіч Арнольд
ולדימיר ארנולד
ולדימיר ארנולד מתמטיקאי רוסי
فلاديمير أرنولد
فلاديمير أرنولد رياضياتي روسي
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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