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by V.I. Arnold,Alexander Varchenko,S.M. Gusein-Zade
Download Singularities of Differentiable Maps: Volume I: The Classification of Critical Points Caustics and Wave Fronts (Monographs in Mathematics) fb2
Mathematics
  • Author:
    V.I. Arnold,Alexander Varchenko,S.M. Gusein-Zade
  • ISBN:
    0817631879
  • ISBN13:
    978-0817631871
  • Genre:
  • Publisher:
    Birkhäuser; 1985 edition (January 1, 1985)
  • Pages:
    396 pages
  • Subcategory:
    Mathematics
  • Language:
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    1707 kb
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    1390 kb
  • DJVU format
    1466 kb
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    4.6
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    687
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Varchenko, Alexander, Gusein-Zade, .

Varchenko, Alexander, Gusein-Zade, . 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 groups and algebras, complex manifolds, commutative algebra and the like) to the most applied areas (such as differential equations and dynamical systems, optimal control, the. theory of bifurcations and catastrophes, short-wave and saddle-point asymptotics and geometrical and wave optics). Show all. Table of contents (22 chapters).

Singularities of Differentiable Maps (Monographs in Mathematics). Caustics, catastrophes and wave fields. Topology of Singular Fibers of Differentiable Maps. Morel, Cachan F. Takens, Groningen B. Teissier, Paris 1854 Osamu Saeki. Differentiable Periodic Maps

On July 20, we had the largest server crash in the last 2 years. On the road" In this book a start is made to the "zoology" of the singularities of differentiable maps.

On July 20, we had the largest server crash in the last 2 years. Full recovery of all data can take up to 2 weeks! So we came to the decision at this time to double the download limits for all users until the problem is completely resolved. Thanks for your understanding! Progress: 8. 3% restored.

The first volume, subtitled "Classification of critical points, caustics and wave fronts", was published by Moscow . volume is the second volume of the book "Singularities of Differentiable Maps" by . Arnold, A. N. Varchenko and S. M. Gusein-Zade.

The first volume, subtitled "Classification of critical points, caustics and wave fronts", was published by Moscow, "Nauka", in 1982. It will be referred to in this text simply as "Volume 1". Whilst the first volume contained the zoology of differentiable maps, that is it was devoted to a description of what, where and how singularities could be encountered, this volume contains the elements of the anatomy and physiology of singularities of differentiable functions.

by V I Arnold, S M Gusein-Zade, A . An Osserman-type inequality for complete flat fronts is shown.

by V I Arnold, S M Gusein-Zade, A N. Venue: Monographs in Mathematics, 8. When equality holds in this inequality, we show that all the ends are embedded, and give new examples for which equal. These two types of singular points characterize the generic singularities of wave fronts (cf. - - -; for example, parallel surfaces of immersed surfaces in R 3 are fronts), and we have a useful criterion (Fact . ; cf. ) for determining them.

Gusein-Zade - Singularities of Differentiable Maps: Volume II Published: 1988-10-01 ISBN: 0817631852, 1461284082 PDF 492 pages . 2 MB. The present. The first volume, subtitled "Classification of critical points, caustics and wave fronts", was published by Moscow, "Nauka", in 1982.

While the first volume, subtitled Classification of Critical Points and originally published as Volume 82 in the Monographs in Mathematics series, contained the zoology of differentiable maps, that is, it was devoted to a description of what, where, and how singularities could b. .

While the first volume, subtitled Classification of Critical Points and originally published as Volume 82 in the Monographs in Mathematics series, contained the zoology of differentiable maps, that is, it was devoted to a description of what, where, and how singularities could be encountered, this second volume concentrates on elements of the anatomy and physiology of singularities of differentiable functions. The questions considered are about the structure of singularities and how they function.

Singularities of caustics and wave fronts.

Singularities of Differentiable Maps: Volume I: The Classification of Critical Points Caustics and Wave Fronts. Singularities of caustics and wave fronts.

Volume I: The classification of critical points, caustics and wave fronts. November 2012 · Applied Mathematics Letters. from the Russian by Ian Porteous, ed. by V. I. Arnol’d (p. 2-83). Singularities of Differentiable Maps, Volume 1. Chapter · May 2012 with 21 Reads. For a germ of a quasihomogeneous function with an isolated critical point at the origin invariant with respect to an appropriate action of a finite abelian group, H. Fan, T. Jarvis, and Y. Ruan defined the so-called quantum cohomology group. It is considered as the main object of the quantum singularity theory (FJRW-theory).

... there is nothing so enthralling, so grandiose, nothing that stuns or captivates the human soul quite so much as a first course in a science. After the first five or six lectures one already holds the brightest hopes, already sees oneself as a seeker after truth. I too have wholeheartedly pursued science passionately, as one would a beloved woman. I was a slave, and sought no other sun in my life. Day and night I crammed myself, bending my back, ruining myself over my books; I wept when I beheld others exploiting science fot personal gain. But I was not long enthralled. The truth is every science has a beginning, but never an end - they go on for ever like periodic fractions. Zoology, for example, has discovered thirty-five thousand forms of life ... A. P. Chekhov. "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 groups and algebras, complex manifolds, commutative algebra and the like) to the most applied areas (such as differential equations and dynamical systems, optimal control, the theory of bifurcations and catastrophes, short-wave and saddle-point asymptotics and geometrical and wave optics).