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Item Details
Title: STABLE MAPPINGS AND THEIR SINGULARITIES
By: M. Golubitsky, Victor Guillemin
Format: Paperback

List price: £72.00


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ISBN 10: 038790073X
ISBN 13: 9780387900735
Publisher: SPRINGER-VERLAG NEW YORK INC.
Pub. date: 29 March, 1974
Edition: Softcover reprint of the original 1st ed. 1973
Series: Graduate Texts in Mathematics 14
Pages: 209
Synopsis: This book aims to present to first and second year graduate students a beautiful and relatively accessible field of mathematics-the theory of singu- larities of stable differentiable mappings. The study of stable singularities is based on the now classical theories of Hassler Whitney, who determined the generic singularities (or lack of them) of Rn ~ Rm (m ~ 2n - 1) and R2 ~ R2, and Marston Morse, for mappings who studied these singularities for Rn ~ R. It was Rene Thorn who noticed (in the late '50's) that all of these results could be incorporated into one theory. The 1960 Bonn notes of Thom and Harold Levine (reprinted in [42]) gave the first general exposition of this theory. However, these notes preceded the work of Bernard Malgrange [23] on what is now known as the Malgrange Preparation Theorem-which allows the relatively easy computation of normal forms of stable singularities as well as the proof of the main theorem in the subject-and the definitive work of John Mather.More recently, two survey articles have appeared, by Arnold [4] and Wall [53], which have done much to codify the new material; still there is no totally accessible description of this subject for the beginning student. We hope that these notes will partially fill this gap. In writing this manuscript, we have repeatedly cribbed from the sources mentioned above-in particular, the Thom-Levine notes and the six basic papers by Mather.
Illustrations: biography
Publication: US
Imprint: Springer-Verlag New York Inc.
Returns: Returnable
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BIFURCATION AND SYMMETRY (HB)
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COSMOLOGY IN (2 + 1) -DIMENSIONS, CYCLIC MODELS, AND DEFORMATIONS OF M2,1. (AM-121)
COSMOLOGY IN (2 + 1) -DIMENSIONS, CYCLIC MODELS, AND DEFORMATIONS OF M2,1. (AM-121), VOLUME 121 (PB)
DEFORMATION THEORY OF PSEUDOGROUP STRUCTURES (PB)
DENKT GOTT SYMMETRISCH?
DIFFERENTIAL FORMS
DIFFERENTIAL FORMS (HB)
DIFFERENTIAL TOPOLOGY (HB)
DISCRETE METHODS IN EPIDEMIOLOGY (PB)
FEARFUL SYMMETRY (HB)
GEOMETRIC ASYMPTOTICS (PB)
LIE THEORY AND GEOMETRY (HB)
LIE THEORY AND GEOMETRY (PB)
LINEAR ALGEBRA AND DIFFERENTIAL EQUATIONS USING MATLAB (R) (HB)
MATHEMATICS PAST AND PRESENT FOURIER INTEGRAL OPERATORS (HB)
MATHEMATICS PAST AND PRESENT FOURIER INTEGRAL OPERATORS (PB)
MEASURE THEORY AND PROBABILITY (HB)
MEASURE THEORY AND PROBABILITY (HB)
MEASURE THEORY AND PROBABILITY (HB)
MEASURE THEORY AND PROBABILITY (PB)
MOMENT MAPS AND COMBINATORIAL INVARIANTS OF HAMILTONIAN TN-SPACES (HB)
MOMENT MAPS AND COMBINATORIAL INVARIANTS OF HAMILTONIAN TN-SPACES (HB)
MOMENT MAPS AND COMBINATORIAL INVARIANTS OF HAMILTONIAN TN-SPACES (PB)
MOMENT MAPS, COBORDISMS AND HAMILTONIAN GROUP ACTIONS (HB)
PATTERN FORMATION (HB)
PATTERN FORMATION IN CONTINUOUS AND COUPLED SYSTEMS (HB)
PATTERN FORMATION IN CONTINUOUS AND COUPLED SYSTEMS (PB)
SEMI-CLASSICAL ANALYSIS (PB)
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SEMINAR ON MICRO-LOCAL ANALYSIS. (AM-93), VOLUME 93 (PB)
SINGULARITIES AND GROUPS IN BIFURCATION THEORY (HB)
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SINGULARITIES AND GROUPS IN BIFURCATION THEORY (PB)
SUPERSYMMETRY AND EQUIVARIANT DE RHAM THEORY (HB)
SUPERSYMMETRY AND EQUIVARIANT DE RHAM THEORY (PB)
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