Singularity theory

Author(s)

• Arnolʹd, Vladimir Igorevich

Bibliographic Information

Singularity theory

V.I. Arnol'd (ed.)

（Encyclopaedia of mathematical sciences / editor-in-chief, R.V. Gamkrelidze, v. 6 . Dynamical systems ; 6）

Springer-Verlag, c1993

• 1 : us
• 1 : gw

Other Title

Dinamicheskie sistemy

Note

Includes bibliographical references (p. [219]-237) and indexes

"Title of the Russian edition: ... Dinamicheskie sistemy"--T.p. verso

Description and Table of Contents

Description

The theory of singularities is an important part of various branches of mathematics: algebraic geometry, differential topology, geometric optics, etc. Here the focus is on the singularities of smooth maps and applications to dynamical systems - in particular, bifurcations. This includes the study of bifurcations of intersections of stable and unstable cycles. Along with the formal algebraic and analytic aspects of the theory, the authors consider global topological problems related to invariants. The authors have in mind a student reader, mathematician, or physicist, who wishes to learn the modern techniques of local mathematical analysis as an instrument for applied studies or a specialist in one of the applied areas who is looking for the necessary mathematical tools.

Table of Contents

Contents: V.I. Arnol'd, V.A. Vasil'ev, V.V. Goryunov, O.V. Lyashko: Singularities I. Local and Global Theory.

by "Nielsen BookData"

Details

• NCID: BA20498327
• ISBN:
  • 0387505830
  • 3540505830
• Country Code: gw
• Title Language Code: eng
• Text Language Code: eng
• Original Language Code: rus
• Place of Publication: Berlin ; Tokyo
• Pages/Volumes: 245 p.
• Size: 24 cm
• Classification:
  • LCC : QA805
  • DC19 : 531
  • NDC8 : 423.35
  • NDC8 : 423.1
  • NDC8 : 413.6
• Subject Headings:
  • LCSH : Mechanics, Analytic
  • LCSH : Celestial mechanics
• Parent Bibliography ID:
  • BA01321819