Singularities of differentiable mappings. by Harold I. Levine

Cover of: Singularities of differentiable mappings. | Harold I. Levine

Published by Mathematisches Institut der Universita t,] in [Bonn .

Written in English

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Subjects:

  • Geometry, Differential.,
  • Surfaces.

Edition Notes

Book details

ContributionsThom, R.
The Physical Object
Paginationv.
ID Numbers
Open LibraryOL14202894M

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Originally published in the s, Singularities of Differentiable Maps: The Classification of Critical Points, Caustics and Wave Fronts was the first of two volumes that together formed a translation of the authors' influential Russian monograph on singularity theory.

This uncorrected softcover reprint of the work brings its still-relevant content back into the literature, making it available―and Price: $ About this book. 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.

The three parts of this first volume of a two-volume set deal with the stability problem for smooth. About this book. The present. volume is the second volume of the book "Singularities of Differentiable Maps" by V Arnold, A. Varchenko and S. Gusein-Zade. The first volume, subtitled "Classification of critical points, caustics and wave fronts", was published by Moscow, "Nauka", in It will be referred to in this text simply as "Volume 1".

Singularities Of Differentiable Maps Volume 1 Singularities Of Differentiable Maps Volume 1 by V.I. Arnold. Download it Singularities Of Differentiable Singularities of differentiable mappings.

book Volume 1 books also available in PDF, EPUB, and Mobi Format for read it on your Kindle device, PC, phones or tablets. With this foundation, the book's sophisticated development permits readers to explore an unparalleled breadth of. 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.

The three parts of this first volume of a two-volume set deal with the stability problem for smooth. Get this from a library.

Singularities of Differentiable Mappings: Vol.: 1. [Harold I Levine;]. "On the road" In this book a start is made to the "zoology" of the singularities of differentiable maps. This theory is a young branch of analysis which currently occupies a central place in mathematics; it is the crossroads of paths leading from very abstract corners of mathematics (such as algebraic and differential geometry and topology, Lie.

Originally published in the s, Singularities of Differentiable Maps: The Classification of Critical Points, Caustics and Wave Fronts was the first of two volumes that together formed a translation of the authors' influential Russian monograph on Singularities of differentiable mappings.

book theory. This uncorrected softcover reprint of the work brings its still-relevant content back into the literature, making it available—and. Print book: EnglishView all editions and formats: Rating: (not yet rated) 0 with reviews - Be the first.

Subjects: Differentiable mappings. Singularities (Mathematics) Singularities [Mathematics]. View all subjects; More like this: Similar Items.

Cite this paper as: Levine H.I. () Singularities of differentiable mappings. In: Wall C. (eds) Proceedings of Liverpool Singularities — Symposium I. Lecture Notes in Mathematics, vol Cited by: Singularities of differentiable mappings H.

Levine. Details; Contributors; Bibliography; Quotations; Similar; Collections; Source. Lecture Notes in Mathematics > Proceedings of Liverpool Singularities — Symposium I > Identifiers.

series ISSN: book ISBN: book e-ISBN: DOI. The three parts of this first volume of a two-volume set deal with the stability problem for smooth mappings, critical points of s 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.

Martin Golubitsky, Victor Guillemin (auth.) 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).

Differentiable mappings 43 works Search for books with subject Differentiable mappings. Search. Check Availability. Not in Library. Not in Library. Singularities (Mathematics), Accessible book, Protected DAISY, Manifolds (Mathematics). V.I. Arnold, S.M.

Gusein-Zade, A.N. Varchenko (auth.) 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.

The three parts of this first volume of a two-volume set deal with the stability problem for. The work of H. Whitney (), in which this theorem was proved, is considered to be the beginning of the theory of singularities of differentiable mappings, although a number of individual results appeared far earlier (Morse theory of critical points of functions, Whitney's theorem on singularities of imbeddings, the work of L.S.

Pontryagin on the connection between singularities and characteristic classes). Singularities of Differentiable Maps, Volume 1. 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.

The three parts of this first volume of a two-volume set deal with the stability problem for smooth. 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. Openings of map-germs appear as typical singularities in several problems of geometry and its applications.

The notion of openings has close relations to isotropic map-germs in a symplectic space and integral map-germs in a contact space. We describe the openings of Morin singularities, namely, stable unfoldings of map-germs of corank one. In book: Singularities of Differentiable Maps, Volume Like the mappings from which assumptions which allow one to apply results from the singularity theory of differentiable.

Originally published in the s, Singularities of Differentiable Maps: Monodromy and Asymptotics of Integrals was the second of two volumes that together formed a translation of the authors' influential Russian monograph on singularity uncorrected softcover reprint of the work brings its still-relevant content back into the literature, making it available—and affordable—to a.

The theory of singularities and its applications (Fermi Lectures) V. Arnold In order to provide the reader with a concise and accessible overview of the many guises and areas of appearances, difficult proofs of all the results are avoided in this description of singularities encountered in.

Singularities of differentiable maps | V.I. Arnold, A.N. Varchenko, S.M. Gusein-Zade | download | B–OK. Download books for free. Find books. The simplest singularities of smooth mappings are fold singularities.

We say that a mapping f is a fold mapping if every singular point of f is of the fold type. We prove 1 1 that for a closed oriented 4-manifold M 4 the following conditions are equivalent: (1) M 4 admits a fold mapping into R 3; (2) for every orientable 3-manifold N 3, every homotopy class of mappings of M 4 into N 3 contains.

School of Mathematics | School of Mathematics. By focusing on singularities of mappings, rather than spaces, this book provides a necessary addition to the literature.

Many examples and exercises, as well as appendices on background material, make it an invaluable guide for graduate students and a key reference for researchers.

A number of graduate level courses on singularities of mappings. Singularities of Differentiable Maps, Volume 2 by Elionora Arnold,available at Book Depository with free delivery worldwide. 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.

The three parts of this first volume of a two-volume set deal with the stability problem for smooth mappings, critical points of smooth functions. Buy Singularities of Differentiable Maps: Volume II Monodromy and Asymptotic Integrals: Singularities of Differentiable Maps, Vol 2 (Monographs in Mathematics) by Arnold, V.I., Varchenko, A.N., Gusein-Zade, S.M.

(ISBN: ) from Amazon's Book Store. Everyday low prices and free delivery on eligible : V.I. Arnold, A.N. Varchenko, S.M. Gusein-Zade. from amazons book store everyday low prices and free delivery on eligible orders Singularities Of Differentiable Maps Vol 2 Monodromy singularities of differentiable maps volume 2 by elionora arnold available at book depository with free delivery worldwide.

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.

The purpose of singularity theory is to explore the properties of singular points of functions and mappings. This is a volume on the proceedings of the fourth Japanese–Australian Workshop on Real and Complex Singularities held in Kobe, Japan.

It consists of 11 original articles on singularities. Buy Singularities of Differentiable Maps, Volume 1 by V. Arnold, S. Gusein-Zade from Waterstones today. Click and Collect from your local Waterstones. AND ASYMPTOTICS OF INTEGRALS (PAPERBACK) book.

Download PDF Singularities of Differentiable Maps: v. 2: Monodromy and Asymptotics of Integrals (Paperback) Authored by V. Arnold, S.

Gusein-Zade, A. Varchenko Released at Filesize: MB Reviews An extremely wonderful book with perfect and lucid explanations. This site uses cookies. By continuing to use this site you agree to our use of cookies. To find out more, see our Privacy and Cookies policy. For a smooth map f: M.

N, a point p 2 M is a singular point of f if its di erential dfp: TpM!Tf(p)N has rankstrictly smallerthan minfdimM;dimNg. Singularities of C1 stable maps have been extensively studied. For example, there are classi cation results by means of. Singularities of Differentiable Maps, Volume 2 von V.

Arnold, S. Gusein-Zade, A. Varchenko - Englische Bücher zum Genre Mathematik günstig & portofrei bestellen im Online Shop von Ex Libris. An application of singularity theory to nonlinear elliptic partial differential equations M.

BERGER, P. CHURCH AND J. TIMOURIAN Algebras of composite differentiable functions EDWARD BIERSTONE AND PIERRE D. MILMAN The extension problem and related themes in differential analysis EDWARD BIERSTONE AND GERALD W. SCHWARZ. In the study of the singularities of the hyperbolic Gauss map (indicatrix), we find that the hyperbolic Gauss indicatrix is much easier to calculate.

Arnol'd, S. Gusein-Zade, and A. Mather J N Proc. Liverpool Conf. on Singularities I (Lecture Notes in Math. ) (Springer-Verlag, Berlin-Heidelberg-New York) p MathSciNet Mather J N Stability of C&infty;-mappings I Osobennosti different-siruemykh otobrazhenii (Singularities of differentiable mappings) (Izdat.

These notes give a fairly elementary introduction to the local theory of differentiable mappings. Sard's Theorem and the Preparation Theorem of Malgrange and .The study of singularities of analytic functions can be considered as a sub-area of the theory of functions of several complex variables and of algebraic/analytic geometry.

It has in the meantime, together with the theory of singularities of differentiable mappings, developed into an independent subject, singularity theory.On Unstable Manifolds of Analytic Diffeomorphisms of the.

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