WorldCat Identities

Varchenko, A. N. (Aleksandr Nikolaevich)

Overview
Works: 61 works in 246 publications in 5 languages and 3,081 library holdings
Genres: Conference papers and proceedings  Bibliography  Educational films  Filmed lectures  Nonfiction films 
Roles: Author, Editor, Contributor, Other
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 )

82 editions published between 1985 and 2012 in 3 languages and held by 560 WorldCat member libraries worldwide

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

8 editions published in 2003 in English and held by 236 WorldCat member libraries worldwide

The last twenty years have seen an active interaction between mathematics and physics. This book is devoted to one of the new areas which deals with mathematical structures related to conformal field theory and its q-deformations. We discuss the interplay between Knizhnik-Zamolodchikov type equations, the Bethe ansatz method, representation theory, and geometry of multi-dimensional hypergeometric functions. This book aims to provide an introduction to the area and expose different facets of the subject. The book contains constructions, discussions of notions, statements of main results, and il
Geometry of differential equations by A. G Khovanskiĭ( Book )

9 editions published in 1998 in English and held by 201 WorldCat member libraries worldwide

This volume contains articles written by V. I. Arnold's colleagues on the occasion of his 60th birthday. The articles are mostly devoted to various aspects of geometry of differential equations and relations to global analysis and Hamiltonian mechanics
Topics in singularity theory : V.I. Arnold's 60th anniversary collection by A. G Khovanskiĭ( Book )

10 editions published in 1997 in English and held by 198 WorldCat member libraries worldwide

"We were fortunate. We studied under Arnold. We moved in his orbit and had the opportunity to discuss with him everything under the sun. For every one of us this was a rare gift, a great good fortune in our lives." -from the Introduction Leading mathematician and expert teacher, V. I. Arnold turned 60 in June of 1997. This volume contains a selection of original papers prepared for the occasion of this 60th anniversary by former students and other participants in Arnold's Moscow seminar. A weekly event since the mid-1960s, this seminar and its participants have been inspired by Arnold's creati
Why the boundary of a round drop becomes a curve of order four by A. N Varchenko( Book )

9 editions published between 1991 and 1992 in English and held by 192 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 167 WorldCat member libraries worldwide

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

10 editions published in 1995 in English and held by 154 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 functions, wave fronts, caustics and multidimensional integrals by V. I Arnolʹd( Book )

1 edition published in 2012 in English and held by 42 WorldCat member libraries worldwide

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

3 editions published in 1986 in French and held by 40 WorldCat member libraries worldwide

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

3 editions published in 1986 in French and held by 37 WorldCat member libraries worldwide

Singularités des applications différentiables by V. I Arnolʹd( Book )

14 editions published in 1986 in French and Italian and held by 27 WorldCat member libraries worldwide

Osobennosti different︠s︡iruemykh otobrazheniĭ by V. I Arnolʹd( Book )

in Russian and held by 23 WorldCat member libraries worldwide

Monodromy and asymptotics of integrals by V. I Arnolʹd( Book )

4 editions published between 1988 and 2012 in English and held by 17 WorldCat member libraries worldwide

Osobennosti different︠s︡iruemykh otobrazheniĭ : monodromii︠a︡ i asimptotiki integralov by V. I Arnolʹd( Book )

5 editions published in 1984 in Russian and held by 12 WorldCat member libraries worldwide

Multidimensional hypergeometric functions and their appearance in conformal field theory, algebraic k-theory, algebraic geometry, etc. by A. N Varchenko( Visual )

2 editions published in 1990 in English and held by 11 WorldCat member libraries worldwide

Collected works by V. I Arnolʹd( Book )

2 editions published in 2014 in English and held by 2 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
The classification of critical points, caustics and wave fronts by V. I Arnolʹd( Book )

3 editions published between 2012 and 2013 in English and held by 1 WorldCat member library worldwide

Hydrodynamics, bifurcation theory, and algebraic geometry, 1965-1972 by V. I Arnolʹd( )

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

 
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Audience level: 0.68 (from 0.57 for Hydrodynam ... to 0.94 for Monodromy ...)

Singularities of differentiable maps
Alternative Names
Alexander Nikolajewitsch Wartschenko

Alexander Nikolajewitsch Wartschenko russisch-US-amerikanischer Mathematiker

Alexander Varchenko matemático ruso

Alexander Varchenko Russian mathematician

Alexander Varchenko Russisch wiskundige

Varčenko, A. N.

Varčenko, Aleksandr Nikolaevič

Varčenko, Aleksandr Nikolaevič 1949-

Varchenko, A.

Varchenko, A. 1949-

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

Wartschenko, Alexander Nikolajewitsch 1949-

Languages
English (147)

French (19)

Russian (7)

German (1)

Italian (1)

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