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Singularity Theory and Some Problems of Functional Analysis
 
Edited by: S. G. Gindikin
Singularity Theory and Some Problems of Functional Analysis
Hardcover ISBN:  978-0-8218-7502-5
Product Code:  TRANS2/153
List Price: $175.00
MAA Member Price: $157.50
AMS Member Price: $140.00
eBook ISBN:  978-1-4704-3364-2
Product Code:  TRANS2/153.E
List Price: $165.00
MAA Member Price: $148.50
AMS Member Price: $132.00
Hardcover ISBN:  978-0-8218-7502-5
eBook: ISBN:  978-1-4704-3364-2
Product Code:  TRANS2/153.B
List Price: $340.00 $257.50
MAA Member Price: $306.00 $231.75
AMS Member Price: $272.00 $206.00
Singularity Theory and Some Problems of Functional Analysis
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Singularity Theory and Some Problems of Functional Analysis
Edited by: S. G. Gindikin
Hardcover ISBN:  978-0-8218-7502-5
Product Code:  TRANS2/153
List Price: $175.00
MAA Member Price: $157.50
AMS Member Price: $140.00
eBook ISBN:  978-1-4704-3364-2
Product Code:  TRANS2/153.E
List Price: $165.00
MAA Member Price: $148.50
AMS Member Price: $132.00
Hardcover ISBN:  978-0-8218-7502-5
eBook ISBN:  978-1-4704-3364-2
Product Code:  TRANS2/153.B
List Price: $340.00 $257.50
MAA Member Price: $306.00 $231.75
AMS Member Price: $272.00 $206.00
  • Book Details
     
     
    American Mathematical Society Translations - Series 2
    Volume: 1531992; 199 pp
    MSC: Primary 40; 51; 57; 58; 92; Secondary 12; 19; 28; 32

    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 development, 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.

    Readership

    Mathematicians as well as physicists, engineers, and other consumers of singularity theory.

  • Table of Contents
     
     
    • Chapters
    • A. N. Varchenko — Period maps connected with a versal deformation of a critical point of a function, and the discriminant
    • V. A. Vassiliev — Characteristic classes of singularities
    • V. A. Vassiliev — Lacunas of hyperbolic partial differential operators and singularity theory
    • A. B. Givental′ — Reflection groups in singularity theory
    • V. M. Gol′dshteĭn and V. A. Sobolev — Qualitative analysis of singularly perturbed systems of chemical kinetics
    • V. V. Goryunov — Bifurcations with symmetries
    • S. M. Guseĭn-Zade — Stratifications of function space and algebraic $K$-theory
    • A. A. Davydov — Singularities in optimization problems
    • V. M. Zakalyukin — Nice dimensions and their generalizations in singularity theory
    • V. M. Klimkin — On an inverse problem of measure theory
    • S. Ya. Novikov — Classes of coefficients of convergent random series in spaces $L_{p,q}$
    • Yu. I. Sapronov — Corner singularities and multidimensional folds in nonlinear analysis
    • A. G. Khovanskiĭ — Newton polyhedra (algebra and geometry)
  • 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: 1531992; 199 pp
MSC: Primary 40; 51; 57; 58; 92; Secondary 12; 19; 28; 32

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 development, 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.

Readership

Mathematicians as well as physicists, engineers, and other consumers of singularity theory.

  • Chapters
  • A. N. Varchenko — Period maps connected with a versal deformation of a critical point of a function, and the discriminant
  • V. A. Vassiliev — Characteristic classes of singularities
  • V. A. Vassiliev — Lacunas of hyperbolic partial differential operators and singularity theory
  • A. B. Givental′ — Reflection groups in singularity theory
  • V. M. Gol′dshteĭn and V. A. Sobolev — Qualitative analysis of singularly perturbed systems of chemical kinetics
  • V. V. Goryunov — Bifurcations with symmetries
  • S. M. Guseĭn-Zade — Stratifications of function space and algebraic $K$-theory
  • A. A. Davydov — Singularities in optimization problems
  • V. M. Zakalyukin — Nice dimensions and their generalizations in singularity theory
  • V. M. Klimkin — On an inverse problem of measure theory
  • S. Ya. Novikov — Classes of coefficients of convergent random series in spaces $L_{p,q}$
  • Yu. I. Sapronov — Corner singularities and multidimensional folds in nonlinear analysis
  • A. G. Khovanskiĭ — Newton polyhedra (algebra and geometry)
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.