Singularity Theory and Some Problems of Functional Analysis

Released on by Semen Grigorʹevich Gindikin
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  • Singularity Theory and Some Problems of Functional Analysis Book Detail

  • Author : Semen Grigorʹevich Gindikin
  • Release Date : 1992
  • Publisher : American Mathematical Soc.
  • Genre : Singularities (Mathematics).
  • Pages : 212
  • ISBN 13 : 9780821875025
  • File Size : 81,81 MB
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Singularity Theory and Some Problems of Functional Analysis by Semen Grigorʹevich Gindikin PDF Summary

Book Description: The emergence of singularity theory marks the return of mathematics to the study of the simplest analytical objects: functions, graphs, curves, surfaces. The modern singularity theory for smooth mappings, which is currently undergoing intensive developments, can be thought of as a crossroad where the most abstract topics (such as algebraic and differential geometry and topology, complex analysis, invariant theory, and Lie group theory) meet the most applied topics (such as dynamical systems, mathematical physics, geometrical optics, mathematical economics, and control theory). The papers in this volume include reviews of established areas as well as presentations of recent results in singularity theory. The authors have paid special attention to examples and discussion of results rather than burying the ideas in formalism, notation, and technical details. The aim is to introduce all mathematicians - as well as physicists, engineers, and other consumers of singularity theory - to the world of ideas and methods in this burgeoning area.

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