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Singularities of Caustics and Wave Fronts

  • Book
  • © 1990

Overview

Authors:
  1. V. I. Arnold

    1. Steklov Institute, Moscow, U.S.S.R.

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Part of the book series: Mathematics and its Applications (MASS, volume 62)

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Table of contents (8 chapters)

  1. Front Matter

    Pages i-xiii
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  2. Symplectic geometry

    • V. I. Arnold
    Pages 1-20

  3. Applications of the theory of Lagrangian singularities

    • V. I. Arnold
    Pages 21-42

  4. Contact geometry

    • V. I. Arnold
    Pages 43-60

  5. Convolution of invariants, and period maps

    • V. I. Arnold
    Pages 61-86

  6. Lagrangian and Legendre topology

    • V. I. Arnold
    Pages 87-121

  7. Projections of surfaces, and singularities of apparent contours

    • V. I. Arnold
    Pages 123-153

  8. Obstacle problem

    • V. I. Arnold
    Pages 155-218

  9. Transformation of waves defined by hyperbolic variational principles

    • V. I. Arnold
    Pages 219-240

  10. Back Matter

    Pages 241-259
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Reviews

`Anyone who is interested in the mathematics of geometric optics, singularities bifurcation theory or just in applications of global analysis may find this as one of the few `must have' books.'
Mathematics, 734 (1991)

Authors and Affiliations

  • Steklov Institute, Moscow, U.S.S.R.

    V. I. Arnold

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