The Arnold-Gelfand Mathematical Seminars / Edition 1

The Arnold-Gelfand Mathematical Seminars / Edition 1

by V. Arnold
     
 

ISBN-10: 0817638830

ISBN-13: 9780817638832

Pub. Date: 02/18/1997

Publisher: Birkhauser Verlag

Product Details

ISBN-13:
9780817638832
Publisher:
Birkhauser Verlag
Publication date:
02/18/1997
Edition description:
1997
Pages:
448
Product dimensions:
6.10(w) x 9.25(h) x 0.04(d)

Table of Contents

Preface
Discriminants and Local Invariants of Planar Fronts1
Crofton Densities, Symplectic Geometry and Hilbert's Fourth Problem77
Projective Convex Curves93
Topological Classification of Real Trigonometric Polynomials and Cyclic Serpents Polyhedron101
Singularities of Short Linear Waves on the Plane107
New Generalizations of Poincare's Geometric Theorem113
Explicit Formulas for Arnold's Generic Curve Invariants123
Nonlinear Integrable Equations and Nonlinear Fourier Transform139
Elliptic Solutions of the Yang-Baxter Equation and Modular Hypergeometric Functions171
Combinatorics of Hypergeometric Functions Associated with Positive Roots205
Local Invariants of Mappings of Surfaces into Three-Space223
Theorem on Six Vertices of a Plane Curve Via Sturm Theory257
The Arf-Invariant and the Arnold Invariants of Plane Curves267
Produit cyclique d'espaces et operations de Steenrod281
Characteristic Classes of Singularity Theory325
Value of Generalized Hypergeometric Function at Unity341
Harish-Chandra Decomposition for Zonal Spherical Function of type A[subscript n]347
Positive Paths in the Linear Symplectic Group361
Invariants of Submanifolds in Euclidean Space389
On Combinatorics and Topology of Pairwise Intersections of Schubert Cells in SL[subscript n]/B397

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