Singularities of Differentiable Maps, Volume 1

Classification of Critical Points, Caustics and Wave Fronts

Häftad, Engelska, 2012

AvV.I. Arnold,S.M. Gusein-Zade,Alexander N. Varchenko

1 539 kr

Beställningsvara. Skickas inom 10-15 vardagar. Fri frakt för medlemmar vid köp för minst 249 kr.

?Singularity theory is a far-reaching extension of maxima and minima investigations of differentiable functions, with implications for many different areas of mathematics, engineering (catastrophe theory and the theory of bifurcations), and science.

Produktinformation

Utgivningsdatum2012-05-24
Mått155 x 235 x 22 mm
Vikt600 g
FormatHäftad
SpråkEngelska
SerieModern Birkhäuser Classics
Antal sidor282
Upplaga2012
FörlagBirkhauser Boston Inc
ISBN9780817683399

Tillhör följande kategorier

Part I. Basic concepts.- The simplest examples.- The classes Sigma^ I .- The quadratic differential of a map.- The local algebra of a map and the Weierstrass preparation theorem.- The local multiplicity of a holomorphic map.- Stability and infinitesimal stability.- The proof of the stability theorem.- Versal deformations.- The classification of stable germs by genotype.- Review of further results.- Part II. Critical points of smooth functions.- A start to the classification of critical points.- Quasihomogeneous and semiquasihomogeneous singularities.- The classification of quasihomogeneous functions.- Spectral sequences for the reduction to normal forms.- Lists of singularities.- The determinator of singularities.- Real, symmetric and boundary singularities.- Part III. Singularities of caustics and wave fronts.- Lagrangian singularities.- Generating families.- Legendrian singularities.- The classification of Lagrangian and Legendrian singularities.- The bifurcation of caustics and wave fronts.- References.- Further references.- Subject Index.

Mer från samma författare

Ordinary Differential Equations

V.I. Arnold

Häftad

1 199 kr

Del 250

Geometrical Methods in the Theory of Ordinary Differential Equations

V.I. Arnold, Mark Levi

Inbunden

2 769 kr

Del 60

Mathematical Methods of Classical Mechanics

V.I. Arnol'd

Inbunden

839 kr

Del 60

Mathematical Methods of Classical Mechanics

V.I. Arnol'd

Häftad

909 kr

Del 250

Geometrical Methods in the Theory of Ordinary Differential Equations

V.I. Arnold, Mark Levi

Häftad

2 849 kr

Del 83

Singularities of Differentiable Maps

V.I. Arnold, A.N. Varchenko, S.M. Gusein-Zade

Häftad

1 819 kr

Del 82

Singularities of Differentiable Maps

V.I. Arnold, A.N. Varchenko, S.M. Gusein-Zade

Häftad

709 kr

Del 1

Dynamical Systems I

D.V. Anosov, S.Kh. Aranson, V.I. Arnold, I.U. Bronshtein, V.Z. Grines, Yu.S. Ilyashenko, D.V. Anosov, V.I. Arnold

Inbunden

1 829 kr

Del 5

Dynamical Systems V

V.I. Arnold, V.S. Afrajmovich, Yu.S. Il'yashenko, L.P. Shil'nikov, V.I. Arnold

Inbunden

1 399 kr

Del 16

Dynamical Systems VII

V.I. Arnol'd, S.P. Novikov

Inbunden

1 399 kr

Mer från samma serie

Probability Path

Sidney I. Resnick

Häftad

719 kr

Self-Avoiding Walk

Neal Madras, Gordon Slade

Häftad

1 119 kr

First Course in Geometric Topology and Differential Geometry

Ethan D. Bloch

Inbunden

1 189 kr

Number Theory

André Weil

Häftad

2 029 kr

Grothendieck Festschrift, Volume I

Pierre Cartier, Luc Illusie, Nicholas M. Katz, Gérard Laumon, Yuri I. Manin, Kenneth A. Ribet

Häftad

1 819 kr

Grothendieck Festschrift, Volume II

Pierre Cartier, Luc Illusie, Nicholas M. Katz, Gérard Laumon, Yuri I. Manin, Kenneth A. Ribet

Häftad

1 819 kr

Grothendieck Festschrift, Volume III

Pierre Cartier, Luc Illusie, Nicholas M. Katz, Gérard Laumon, Yuri I. Manin, Kenneth A. Ribet

Häftad

1 819 kr

Tata Lectures on Theta II

David Mumford

Häftad

1 259 kr

Tata Lectures on Theta I

David Mumford

Häftad

1 539 kr

Metric Structures for Riemannian and Non-Riemannian Spaces

Mikhail Gromov, Jacques LaFontaine, Pierre Pansu

Häftad

1 819 kr

Du kanske också är intresserad av

Del 82

Singularities of Differentiable Maps

V.I. Arnold, A.N. Varchenko, S.M. Gusein-Zade

Häftad

709 kr

Del 83

Singularities of Differentiable Maps

V.I. Arnold, A.N. Varchenko, S.M. Gusein-Zade

Häftad

1 819 kr

Singularities of Differentiable Maps, Volume 2

Elionora Arnold, S.M. Gusein-Zade, Alexander N. Varchenko

Häftad

1 259 kr

Del 1

Vladimir I. Arnold - Collected Works

Vladimir I. Arnold, Alexander B. Givental, Boris Khesin, Jerrold E. Marsden, Alexander N. Varchenko, Victor A. Vassiliev, Oleg Viro, Vladimir Zakalyukin

Inbunden

3 039 kr

Del 2

Vladimir I. Arnold - Collected Works

Vladimir I. Arnold, Alexander B. Givental, Boris A. Khesin, Alexander N. Varchenko, Victor A. Vassiliev, Oleg Ya. Viro

Häftad

2 359 kr

Vladimir I. Arnold - Collected Works

Vladimir I. Arnold, Alexander B. Givental, Boris Khesin, Jerrold E. Marsden, Alexander N. Varchenko, Victor A. Vassiliev, Oleg Viro, Vladimir Zakalyukin

Häftad

3 039 kr