Produktbild: Vladimir Arnold – Collected Works
Band 3

Vladimir Arnold – Collected Works Singularity Theory 1972–1979

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Beschreibung

Produktdetails

Einband

Taschenbuch

Erscheinungsdatum

11.09.2018

Abbildungen

XIV, 509 p. 51 illus.

Herausgeber

Alexander B. Givental + weitere

Verlag

Springer Berlin

Seitenzahl

509

Maße (L/B/H)

24,2/17/2,9 cm

Gewicht

887 g

Auflage

Softcover reprint of the original 1st ed. 2016

Sprache

Englisch

ISBN

978-3-662-57017-3

Beschreibung

Produktdetails

Einband

Taschenbuch

Erscheinungsdatum

11.09.2018

Abbildungen

XIV, 509 p. 51 illus.

Herausgeber

Verlag

Springer Berlin

Seitenzahl

509

Maße (L/B/H)

24,2/17/2,9 cm

Gewicht

887 g

Auflage

Softcover reprint of the original 1st ed. 2016

Sprache

Englisch

ISBN

978-3-662-57017-3

Herstelleradresse

Springer-Verlag KG
Sachsenplatz 4-6
1201 Wien
AT

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  • Produktbild: Vladimir Arnold – Collected Works

  • 1  Modes
    and Quasimodes.- 2  Integrals of Rapidly
    Oscillating Functions and Singularities of Projections of Lagrangian Manifolds.-
    3  Remarks on the Stationary Phase Method
    and Coxeter Numbers.- 4  Normal Forms of
    Functions near Degenerate Critical Points, the Weyl Groups

    A
    k

    ,

    D
    k

    ,


    E
    k

    , and Lagrangian
    Singularities.- 5  Normal Forms of
    Functions in Neighbourhoods of Degenerate Critical Points.- 6  Critical Points of Functions and
    Classification of Caustics.- 7 
    Classification of Unimodal Critical Points of Functions
    .-
    8 
    Classification of Bimodal Critical Points of Functions
    .-
    9 
    Spectral Sequence for Reduction of Functions to Normal Form
    .-
    10 
    Spectral Sequences for Reducing Functions to Normal Forms
    .-
    11 
    Critical Points of Smooth Functions and Their Normal Forms
    .-
    12  Local
    Normal Forms of Functions
    .-
    13  Some Open Problemsin Singularity Theory
    .-
    14  On the Theory of Envelopes
    .-
    15  Wave
    Front Evolution and Equivariant Morse Lemma
    .-
    16  A Correction to: Wave Front
    Evolution and Equivariant Morse Lemma
    .-
    17  A Conjecture on the Signature
    of the Quadratic Form of a Quasihomogeneous Singularity
    .-
    18  On
    Contemporary Developments of I.G. Petrovskii's Works on Topology of Real
    Algebraic Varieties .- 19  Topology of Real Algebraic Varieties (with O.A. Oleinik).- 20  Bifurcations of Invariant Manifolds of
    Differential Equations and Normal Forms of Neighborhoods of Elliptic Curves
    .-
    21  Loss of Stability of Self-Oscillations Close
    to Resonances and Versal Deformations of Equivariant Vector Fields
    .-
    22  Some Problems in the Theory of Differential
    Equations
    .-
    23  Bifurcations of Discrete Dynamical Systems
    (with A.P. Shapiro)
    .-
    24  Index
    of a Singular Point of a Vector Field, the Petrovskii-OleinikInequality, and
    Mixed Hodge Structures (in Russian)
    .-
    25  Index of a Singular Point of a Vector Field,
    the Petrovskii-Oleinik Inequalities, and Mixed Hodge Structures
    .-
    26 
    Critical Points of Functions on a Manifold with Boundary, the Simple Lie
    Groups

    B
    k

    ,

    C
    k

    , and
    F
    4
    , and Singularities of Evolutes
    .-
    27 
    Indices of Singular Points of 1-Forms on a Manifold with Boundary,
    Convolution of Invariants of Reflection Groups, and Singular Projections of
    Smooth Surfaces
    .-
    28  Stable Oscillations with Potential Energy
    Harmonic in Space and Periodic in Time
    .-
    29  The Loss of Stability of Self-Induced
    Oscillations near Resonances
    .-
    30  Catastrophe Theory
    .-
    31 
    Superposition of Algebraic Functions (with G. Shimura)
    .-
    32  The
    A
    -
    D
    -
    E
    Classifications
    .-
    33  Real
    Algebraic Geometry (the 16th Hilbert Problem)
    .-
    34 Study of Singularities.- 35  Dynamical Systems and Differential Equations.-
    36  Fixed Points of Symplectic
    Diffeomorphisms.- 37  Partial
    Differential Equations: What Is a Mathematical Equivalent to Physical
    ”Turbulence“?
    .-
    38 
    The Beginning of a New Style in the Scientific Literature (a Review of
    V.V. Beletsky's Book "Essays on the Motion of Celestial Bodies",
    Moscow: Nauka Publishing House, 1972) (with Ya.B. Zeldovich)
    .-
    39 On
    the First All-Union Mathematical Student Olympiad (with A.A. Kirillov, V.M. Tikhomirov, and M.A.
    Shubin)
    .-
    40  A Regional Mathematical School in Syktyvkar
    (with A.M. Vershik, D.B. Fuks, and Ya.M. Eliashberg) (in Russian)
    .-
    41  Kolmogorov’s
    School.- 42 Preface to the
    Collection “Singularities of Differentiable Mappings” of Russian Translations
    of Papers in English and French
    .-
    43  Preface to the Russian Translation of the
    Book “Introduction à l’étude topologique des singularités de Landau” by F. Pham
    .-
    44 Preface to the Russian Translation of the Book “Singular Points of
    Complex Hypersurfaces” by J. Milnor
    .-
     45 Preface to the Russian Translation of the
    Book “Differentiable Germs and Catastrophes” by Th. Bröcker and L. Lander
    .-
    46 
    Preface to the Russian Translation of the Book “Stable Mappings and
    Their Singularities” by M. Golubitsky and V. Guillemin
    .