WorldCat Identities

Varchenko, A. N. (Aleksandr Nikolaevich)

Overview
Works: 77 works in 211 publications in 4 languages and 2,754 library holdings
Genres: Conference proceedings  Bibliography 
Roles: Author, Editor, Thesis advisor, Contributor
Classifications: QA614.58, 514.72
Publication Timeline
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Most widely held works by A. N Varchenko
Singularities of differentiable maps by V. I Arnolʹd( Book )

34 editions published between 1984 and 2012 in 3 languages and held by 461 WorldCat member libraries worldwide

Special functions, KZ type equations, and representation theory by A. N Varchenko( Book )

6 editions published in 2003 in English and held by 230 WorldCat member libraries worldwide

Geometry of differential equations( Book )

9 editions published in 1998 in English and held by 200 WorldCat member libraries worldwide

Why the boundary of a round drop becomes a curve of order four by A. N Varchenko( Book )

14 editions published between 1991 and 2004 in English and Russian and held by 197 WorldCat member libraries worldwide

Topics in singularity theory : V.I. Arnold's 60th anniversary collection( Book )

8 editions published in 1997 in English and held by 195 WorldCat member libraries worldwide

Geometry of q-hypergeometric functions, quantum affine algebras and elliptic quantum groups by V Tarasov( Book )

9 editions published between 1997 and 1998 in English and held by 161 WorldCat member libraries worldwide

Multidimensional hypergeometric functions and representation theory of Lie algebras and quantum groups by A. N Varchenko( Book )

9 editions published in 1995 in English and held by 149 WorldCat member libraries worldwide

This book recounts the connections between multidimensional hypergeometric functions and representation theory. In 1984, physicists Knizhnik and Zamolodchikov discovered a fundamental differential equation describing correlation functions in conformal field theory. The equation is defined in terms of a Lie algebra. Kohno and Drinfeld found that the monodromy of the differential equation is described in terms of the quantum group associated with the Lie algebra. It turns out that this phenomenon is the tip of the iceberg. The Knizhnik-Zamolodchikov differential equation is solved in multidimensional hypergeometric functions, and the hypergeometric functions yield the connection between the representation theories of Lie algebras and quantum groups. The topics presented in this book are not adequately covered in periodicals
Singularities of differentiable maps by V. I Arnolʹd( Book )

5 editions published in 1985 in English and held by 44 WorldCat member libraries worldwide

Singularities of functions, wave fronts, caustics and multidimensional integrals by V. I Arnolʹd( Book )

1 edition published in 2012 in English and held by 40 WorldCat member libraries worldwide

Classification des points critiques, des caustiques et des fronts d'onde by V. I Arnolʹd( Book )

2 editions published in 1986 in French and held by 39 WorldCat member libraries worldwide

Monodromie et comportement asymptotique des intégrales by V. I Arnolʹd( Book )

2 editions published in 1986 in French and held by 36 WorldCat member libraries worldwide

Osobennosti different︠s︡iruemykh otobrazheniĭ by V. I Arnolʹd( Book )

7 editions published in 1986 in French and Russian and held by 35 WorldCat member libraries worldwide

Singularities of differentiable maps by V. I Arnolʹd( Book )

4 editions published between 1988 and 2012 in English and held by 4 WorldCat member libraries worldwide

Singularities of differentiable maps by V. I Arnolʹd( Book )

3 editions published in 2012 in English and held by 4 WorldCat member libraries worldwide

Collected works by V. I Arnolʹd( Book )

2 editions published in 2014 in English and held by 1 WorldCat member library worldwide

Vladimir I. Arnold - Collected Works Hydrodynamics, Bifurcation Theory, Algebraic Geometry, etc. 1965-1972 by V. I Arnolʹd( )

1 edition published in 2013 in English and held by 0 WorldCat member libraries worldwide

Vladimir Arnold was 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 second volume of his ""Collected Works"" focuses on hydrodynamics, bifurcation theory, and algebraic geometry
Singularities of caustics and wave fronts by V. I Arnolʹd( )

6 editions published in 2012 in English and held by 0 WorldCat member libraries worldwide

Annotation
Singularities of Differentiable Maps Volume II Monodromy and Asymptotic Integrals by V. I Arnolʹd( )

1 edition published in 1988 in English and held by 0 WorldCat member libraries worldwide

Singularities of Differentiable Maps Volume I: The Classification of Critical Points Caustics and Wave Fronts by V. I Arnolʹd( )

1 edition published in 1985 in English and held by 0 WorldCat member libraries worldwide

Singularities of Differentiable Maps, Volume 2 Monodromy and Asymptotics of Integrals by V. I Arnolʹd( )

5 editions published in 2012 in English and held by 0 WorldCat member libraries worldwide

Annotation
 
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Audience Level
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Audience Level
1
  Kids General Special  
Audience level: 0.72 (from 0.43 for Singularit ... to 0.89 for Classifica ...)

Singularities of differentiable mapsSingularities of differentiable maps
Alternative Names
Alexander Nikolajewitsch Wartschenko

Alexander Nikolajewitsch Wartschenko russisch-US-amerikanischer Mathematiker

Alexander Varchenko Russian mathematician

Varčenko, A. N.

Varčenko, Aleksandr Nikolaevič

Varchenko, A.

Varchenko, A.N.

Varchenko, A. N. 1949-

Varchenko, Aleksandr 1949-

Varchenko, Aleksandr Nikolaevich.

Varchenko, Aleksandr Nikolaevich 1949-

Varchenko, Alexander.

Varchenko, Alexander 1949-

Varchenko, Alexandre Nikolaevich

Languages
English (112)

French (9)

Russian (6)

German (1)

Covers
Special functions, KZ type equations, and representation theoryGeometry of differential equationsSingularities of differentiable maps