WorldCat Identities

Varchenko, A. N. (Aleksandr Nikolaevich)

Overview
Works: 51 works in 224 publications in 4 languages and 2,910 library holdings
Genres: Conference papers and proceedings  Bibliography  Educational films  Filmed lectures  Nonfiction films 
Roles: Author, Editor, 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 )

74 editions published between 1985 and 2013 in 3 languages and held by 551 WorldCat member libraries worldwide

... 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, bending my back, ruining myself over my books; I wept when I beheld others exploiting science fot personal gain. But I was not long enthralled. The truth is every science has a beginning, but never an end - they go on for ever like periodic fractions. Zoology, for example, has discovered thirty-five thousand forms of life ... A.P. Chekhov. "On the road" In this book a start is made to the "zoology" of the singularities of differentiable maps. This theory is a young branch of analysis which currently occupies a central place in mathematics; it is the crossroads of paths leading from very abstract corners of mathematics (such as algebraic and differential geometry and topology, Lie groups and algebras, complex manifolds, commutative algebra and the like) to the most applied areas (such as differential equations and dynamical systems, optimal control, the theory of bifurcations and catastrophes, short-wave and saddle-point asymptotics and geometrical and wave optics)
Special functions, KZ type equations, and representation theory by A. N Varchenko( Book )

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

Geometry of differential equations( Book )

8 editions published in 1998 in English and held by 201 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 199 WorldCat member libraries worldwide

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 )

8 editions published between 1997 and 1998 in English and held by 165 WorldCat member libraries worldwide

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

11 editions published in 1995 in English and held by 152 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 40 WorldCat member libraries worldwide

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

24 editions published in 1986 in French and Undetermined and held by 39 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 : monodromii︠a︡ i asimptotiki integralov by V. I Arnolʹd( Book )

15 editions published between 1982 and 2004 in Russian and Undetermined and held by 25 WorldCat member libraries worldwide

Osobennosti different︠s︡iruemykh otobrazheniĭ by V. I Arnolʹd( Book )

in Russian and held by 22 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

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

Pochemu granit︠s︡a krugloĭ kapli prevrashchaetsi︠a︡ v inversnyĭ obraz ėllipsa by A. N Varchenko( Book )

4 editions published in 1995 in Russian and held by 8 WorldCat member libraries worldwide

Collected works by V. I Arnolʹd( Book )

3 editions published between 2009 and 2013 in English and held by 2 WorldCat member libraries worldwide

"Vladimir Arnold is one of the greatest 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."--Jacket
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

This book features the collected works of Vladimir Arnold, one of the great mathematical scientists of our time. This volume focuses on hydrodynamics, bifurcation theory, and algebraic geometry
MULTIDIMENSIONAL HYPERGEOMETRIC FUNCTIONS THE REPRESENTATION THEORY OF LIE ALGEBRAS AND QUANTUM GROUPS by A. N Varchenko( )

2 editions published in 1995 in English and held by 0 WorldCat member libraries worldwide

4.5 Two-sided Hochschild complexes connected with a discriminantal configuration4.6 Algebraic interpretation of the abstract complexes X.(Cn k) and Q.(Cn k) of a discriminantal configuration; 4.7 Geometric interpretation of complexes C.(+Uqn'_; M; 2; +A)A and C.*(+Uqn'_; M; 2; u)A defined in (4.5); 4.8 Symmetrization; 4.9 Proof of Theorem (4.7.5); 5. Quasiisomorphism of two-sided Hochschild complexes to suitable one-sided Hochschild complexes; 5.1 One-sided Hochschild complexes connected with a discriminantal configuration
 
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Singularities of differentiable maps
Alternative Names
Alexander Nikolajewitsch Wartschenko

Alexander Nikolajewitsch Wartschenko russisch-US-amerikanischer Mathematiker

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 (135)

French (26)

Russian (19)

German (1)

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