Singularity Theory

V. I. Arnold

doi:10.1017/CBO9780511662713

Singularity Theory

Professor Arnold is a prolific and versatile mathematician who has done striking work in differential equations and geometrical aspects of analysis. In this volume are collected seven of his survey articles from Russian Mathematical Surveys on singularity theory, the area to which he has made most contribution. These surveys contain Arnold's own analysis and synthesis of a decade's work. All those interested in singularity theory will find this an invaluable compilation. Professor C. T. C. Wall has written an introduction outlining the significance and content of the articles.

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Singularity Theory

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Contents

Frontmatter
pp i-iv

Contents
pp v-vi

Introduction
pp 1-2

Singularities of smooth mappings (Volume 23, 1968)
pp 3-45

On matrices depending on parameters (Volume 26, 1971)
pp 46-60

Remarks on the stationary phase method and Coxeter numbers (Volume 28, 1973)
pp 61-90

Normal forms of functions in neighbourhoods of degenerate critical points (Volume 29, 1974)
pp 91-131

Critical points of smooth functions and their normal forms (Volume 30, 1975)
pp 132-206

Critical points of functions on a manifold with boundary, the simple Lie groups BK, CK, and F4, and singularities of evolutes (Volume 33, 1978)
pp 207-224

Indices of singular points of 1-forms on a manifold with boundary, convolution of invariants of reflection groups and singular projections of smooth surfaces (Volume 34, 1979)
pp 225-266

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Singularity Theory

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