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Singularities and Bifurcations
 
Edited by: V. I. Arnold Steklov Institute of Mathematics
Singularities and Bifurcations
Hardcover ISBN:  978-0-8218-0237-3
Product Code:  ADVSOV/21
List Price: $136.00
MAA Member Price: $122.40
AMS Member Price: $108.80
eBook ISBN:  978-1-4704-4619-2
Product Code:  ADVSOV/21.E
List Price: $136.00
MAA Member Price: $122.40
AMS Member Price: $108.80
Hardcover ISBN:  978-0-8218-0237-3
eBook: ISBN:  978-1-4704-4619-2
Product Code:  ADVSOV/21.B
List Price: $272.00 $204.00
MAA Member Price: $244.80 $183.60
AMS Member Price: $217.60 $163.20
Singularities and Bifurcations
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Singularities and Bifurcations
Edited by: V. I. Arnold Steklov Institute of Mathematics
Hardcover ISBN:  978-0-8218-0237-3
Product Code:  ADVSOV/21
List Price: $136.00
MAA Member Price: $122.40
AMS Member Price: $108.80
eBook ISBN:  978-1-4704-4619-2
Product Code:  ADVSOV/21.E
List Price: $136.00
MAA Member Price: $122.40
AMS Member Price: $108.80
Hardcover ISBN:  978-0-8218-0237-3
eBook ISBN:  978-1-4704-4619-2
Product Code:  ADVSOV/21.B
List Price: $272.00 $204.00
MAA Member Price: $244.80 $183.60
AMS Member Price: $217.60 $163.20
  • Book Details
     
     
    Advances in Soviet Mathematics
    Volume: 211994; 262 pp
    MSC: Primary 57; 58; Secondary 14

    This book contains papers growing out of recent work of the Singularity Seminar at Moscow State University. The main topic of most of the papers is the analysis of singularities of discriminant hypersurfaces formed by the degenerate objects in different spaces of mappings. Among the topics covered are: the space of mappings of the circle to three-space; invariants, bifurcations, and classifications of plane curves; algebraic invariants of the Morse complex; complex boundary singularities; spaces of morsifications of singularities; and the number of singular points on a complex projective hypersurface.

    Readership

    Undergraduate students in mathematics, active researchers, physicists specializing in quantum field theory.

  • Table of Contents
     
     
    • Articles
    • F. Aicardi — Tree-like curves
    • V. I. Arnold — Plane curves, their invariants, Perestroikas, and classifications
    • S. A. Barannikov — The framed Morse complex and its invariants
    • S. V. Chmutov, S. V. Duzhin and S. K. Lando — Vassiliev knot invariants. I: Introduction
    • S. V. Chmutov, S. V. Duzhin and S. K. Lando — Vassiliev Knot invariants. II: Intersection graph conjecture for trees
    • S. V. Chmutov, S. V. Duzhin and S. K. Lando — Vassiliev knot invariants. III: Forest algebra and weighted graphs
    • Victor V. Goryunov — Symmetric quartics with many nodes
    • Victor V. Goryunov — Subprincipal Springer cones and Morsifications of Laurent polynomials and $D_{\mu }$ singularities
    • S. M. Gusein-Zade — On the enumeration of curves from infinity to infinity
    • Alexander B. Merkov — On the classification of ornaments
    • I. Shcherbak and A. Szpirglas — Boundary singularities: Topology and duality
    • Victor A. Vassiliev — Invariants of ornaments
  • Requests
     
     
    Review Copy – for publishers of book reviews
    Permission – for use of book, eBook, or Journal content
    Accessibility – to request an alternate format of an AMS title
Volume: 211994; 262 pp
MSC: Primary 57; 58; Secondary 14

This book contains papers growing out of recent work of the Singularity Seminar at Moscow State University. The main topic of most of the papers is the analysis of singularities of discriminant hypersurfaces formed by the degenerate objects in different spaces of mappings. Among the topics covered are: the space of mappings of the circle to three-space; invariants, bifurcations, and classifications of plane curves; algebraic invariants of the Morse complex; complex boundary singularities; spaces of morsifications of singularities; and the number of singular points on a complex projective hypersurface.

Readership

Undergraduate students in mathematics, active researchers, physicists specializing in quantum field theory.

  • Articles
  • F. Aicardi — Tree-like curves
  • V. I. Arnold — Plane curves, their invariants, Perestroikas, and classifications
  • S. A. Barannikov — The framed Morse complex and its invariants
  • S. V. Chmutov, S. V. Duzhin and S. K. Lando — Vassiliev knot invariants. I: Introduction
  • S. V. Chmutov, S. V. Duzhin and S. K. Lando — Vassiliev Knot invariants. II: Intersection graph conjecture for trees
  • S. V. Chmutov, S. V. Duzhin and S. K. Lando — Vassiliev knot invariants. III: Forest algebra and weighted graphs
  • Victor V. Goryunov — Symmetric quartics with many nodes
  • Victor V. Goryunov — Subprincipal Springer cones and Morsifications of Laurent polynomials and $D_{\mu }$ singularities
  • S. M. Gusein-Zade — On the enumeration of curves from infinity to infinity
  • Alexander B. Merkov — On the classification of ornaments
  • I. Shcherbak and A. Szpirglas — Boundary singularities: Topology and duality
  • Victor A. Vassiliev — Invariants of ornaments
Review Copy – for publishers of book reviews
Permission – for use of book, eBook, or Journal content
Accessibility – to request an alternate format of an AMS title
Please select which format for which you are requesting permissions.