Australasia's Biggest Online Store

We won't be beaten by anyone. Guaranteed

Vladimir Arnold - Collected Works
By

Rating
Volume III of the Collected Works of V.I. Arnold contains papers written in the years 1972 to 1979. The main theme emerging in Arnold's work of this period is the development of singularity theory of smooth functions and mappings. The volume also contains papers by V.I. Arnold on catastrophe theory and on A.N. Kolmogorov's school, his prefaces to Russian editions of several books related to singularity theory, V. Arnold's lectures on bifurcations of discrete dynamical systems, as well as a review by V.I. Arnold and Ya.B. Zeldovich of V.V. Beletsky's book on celestial mechanics. 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.
Product Details

Table of Contents

1 Modes and Quasimodes.- 2 Integrals of Rapidly Oscillating Functions and Singularities of Projections of Lagrangian Manifolds.- 3 Remarks on the Stationary Phase Method and Coxeter Numbers.- 4 Normal Forms of Functions near Degenerate Critical Points, the Weyl Groups Ak, Dk, Ek, and Lagrangian Singularities.- 5 Normal Forms of Functions in Neighbourhoods of Degenerate Critical Points.- 6 Critical Points of Functions and Classification of Caustics.- 7 Classification of Unimodal Critical Points of Functions.- 8 Classification of Bimodal Critical Points of Functions.- 9 Spectral Sequence for Reduction of Functions to Normal Form.- 10 Spectral Sequences for Reducing Functions to Normal Forms.- 11 Critical Points of Smooth Functions and Their Normal Forms.- 12 Local Normal Forms of Functions.- 13 Some Open Problems in Singularity Theory.- 14 On the Theory of Envelopes.- 15 Wave Front Evolution and Equivariant Morse Lemma.- 16 A Correction to: Wave Front Evolution and Equivariant Morse Lemma.- 17 A Conjecture on the Signature of the Quadratic Form of a Quasihomogeneous Singularity.- 18 On Contemporary Developments of I.G. Petrovskii's Works on Topology of Real Algebraic Varieties .- 19 Topology of Real Algebraic Varieties (with O.A. Oleinik).- 20 Bifurcations of Invariant Manifolds of Differential Equations and Normal Forms of Neighborhoods of Elliptic Curves.- 21 Loss of Stability of Self-Oscillations Close to Resonances and Versal Deformations of Equivariant Vector Fields.- 22 Some Problems in the Theory of Differential Equations.- 23 Bifurcations of Discrete Dynamical Systems (with A.P. Shapiro).- 24 Index of a Singular Point of a Vector Field, the Petrovskii-Oleinik Inequality, and Mixed Hodge Structures (in Russian).- 25 Index of a Singular Point of a Vector Field, the Petrovskii-Oleinik Inequalities, and Mixed Hodge Structures.- 26 Critical Points of Functions on a Manifold with Boundary, the Simple Lie Groups Bk, Ck, and F4, and Singularities of Evolutes.- 27 Indices of Singular Points of 1-Forms on a Manifold with Boundary, Convolution of Invariants of Reflection Groups, and Singular Projections of Smooth Surfaces.- 28 Stable Oscillations with Potential Energy Harmonic in Space and Periodic in Time.- 29 The Loss of Stability of Self-Induced Oscillations near Resonances.- 30 Catastrophe Theory.- 31 Superposition of Algebraic Functions (with G. Shimura).- 32 The A-D-E Classifications.- 33 Real Algebraic Geometry (the 16th Hilbert Problem).- 34 Study of Singularities.- 35 Dynamical Systems and Differential Equations.- 36 Fixed Points of Symplectic Diffeomorphisms.- 37 Partial Differential Equations: What Is a Mathematical Equivalent to Physical "Turbulence"?.- 38 The Beginning of a New Style in the Scientific Literature (a Review of V.V. Beletsky's Book "Essays on the Motion of Celestial Bodies", Moscow: Nauka Publishing House, 1972) (with Ya.B. Zeldovich).- 39 On the First All-Union Mathematical Student Olympiad (with A.A. Kirillov, V.M. Tikhomirov, and M.A. Shubin).- 40 A Regional Mathematical School in Syktyvkar (with A.M. Vershik, D.B. Fuks, and Ya.M. Eliashberg) (in Russian).- 41 Kolmogorov's School.- 42 Preface to the Collection "Singularities of Differentiable Mappings" of Russian Translations of Papers in English and French.- 43 Preface to the Russian Translation of the Book "Introduction a l'etude topologique des singularites de Landau" by F. Pham.- 44 Preface to the Russian Translation of the Book "Singular Points of Complex Hypersurfaces" by J. Milnor.- 45 Preface to the Russian Translation of the Book "Differentiable Germs and Catastrophes" by Th. Broecker and L. Lander.- 46 Preface to the Russian Translation of the Book "Stable Mappings and Their Singularities" by M. Golubitsky and V. Guillemin.

About the Author

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.

Ask a Question About this Product More...
Write your question below:
Look for similar items by category
People also searched for
How Fishpond Works
Fishpond works with suppliers all over the world to bring you a huge selection of products, really great prices, and delivery included on over 25 million products that we sell. We do our best every day to make Fishpond an awesome place for customers to shop and get what they want — all at the best prices online.
Webmasters, Bloggers & Website Owners
You can earn a 5% commission by selling Vladimir Arnold - Collected Works: Singularity Theory 1972-1979 (Vladimir I. Arnold - Collected Works) on your website. It's easy to get started - we will give you example code. After you're set-up, your website can earn you money while you work, play or even sleep! You should start right now!
Authors / Publishers
Are you the Author or Publisher of a book? Or the manufacturer of one of the millions of products that we sell. You can improve sales and grow your revenue by submitting additional information on this title. The better the information we have about a product, the more we will sell!
Item ships from and is sold by Fishpond World Ltd.
Back to top