Read Books Online and Download eBooks, EPub, PDF, Mobi, Kindle, Text Full Free.
Singularities Of Differentiable Mappings
Download Singularities Of Differentiable Mappings full books in PDF, epub, and Kindle. Read online Singularities Of Differentiable Mappings ebook anywhere anytime directly on your device. Fast Download speed and no annoying ads. We cannot guarantee that every ebooks is available!
Book Synopsis Singularities of Differentiable Maps by : V.I. Arnold
Download or read book Singularities of Differentiable Maps written by V.I. Arnold and published by Springer Science & Business Media. This book was released on 1985-01-01 with total page 512 pages. Available in PDF, EPUB and Kindle. Book excerpt: ... 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).
Book Synopsis Singularities of Differentiable Maps, Volume 1 by : V.I. Arnold
Download or read book Singularities of Differentiable Maps, Volume 1 written by V.I. Arnold and published by Springer Science & Business Media. This book was released on 2012-05-24 with total page 393 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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, and caustics and wave front singularities. The second volume describes the topological and algebro-geometrical aspects of the theory: monodromy, intersection forms, oscillatory integrals, asymptotics, and mixed Hodge structures of singularities. The first volume has been adapted for the needs of non-mathematicians, presupposing a limited mathematical background and beginning at an elementary level. With this foundation, the book's sophisticated development permits readers to explore more applications than previous books on singularities.
Book Synopsis Singularities of Differentiable Mappings by : Harold I. Levine
Download or read book Singularities of Differentiable Mappings written by Harold I. Levine and published by . This book was released on 1960 with total page 136 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Singularities of Differentiable Maps, Volume 2 by : Elionora Arnold
Download or read book Singularities of Differentiable Maps, Volume 2 written by Elionora Arnold and published by Springer Science & Business Media. This book was released on 2012-05-16 with total page 500 pages. Available in PDF, EPUB and Kindle. Book excerpt: The present volume is the second in a two-volume set entitled Singularities of Differentiable Maps. 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.
Book Synopsis Stable Mappings and Their Singularities by : M. Golubitsky
Download or read book Stable Mappings and Their Singularities written by M. Golubitsky and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 220 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Book Synopsis Singularities of differentiable maps by : Vladimir Igorevich Arnolʹd
Download or read book Singularities of differentiable maps written by Vladimir Igorevich Arnolʹd and published by . This book was released on 1985 with total page 382 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Singularities of Differentiable Maps: The classification of critical points, caustics and wave fronts ; Volume II, Monodromy and asymptotics of integrals by : Vladimir Igorevič Arnolʹd
Download or read book Singularities of Differentiable Maps: The classification of critical points, caustics and wave fronts ; Volume II, Monodromy and asymptotics of integrals written by Vladimir Igorevič Arnolʹd and published by . This book was released on 1985 with total page 874 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Singularities of Differentiable Maps by : V.I. Arnold
Download or read book Singularities of Differentiable Maps written by V.I. Arnold and published by Birkhäuser. This book was released on 2011-12-06 with total page 396 pages. Available in PDF, EPUB and Kindle. Book excerpt: ... 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).
Book Synopsis Singularities of differentiable mappings by : René Thom
Download or read book Singularities of differentiable mappings written by René Thom and published by . This book was released on 1959 with total page 65 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Topology of Singular Fibers of Differentiable Maps by : Osamu Saeki
Download or read book Topology of Singular Fibers of Differentiable Maps written by Osamu Saeki and published by Springer Science & Business Media. This book was released on 2004 with total page 164 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Singularities of Differentiable Maps, Volume 2 by : Elionora Arnold
Download or read book Singularities of Differentiable Maps, Volume 2 written by Elionora Arnold and published by Birkhäuser. This book was released on 2012-05-17 with total page 492 pages. Available in PDF, EPUB and Kindle. Book excerpt: The present volume is the second in a two-volume set entitled Singularities of Differentiable Maps. 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.
Book Synopsis Singularities of Differentiable Maps by : Vladimir I. Arnol'd
Download or read book Singularities of Differentiable Maps written by Vladimir I. Arnol'd and published by . This book was released on 1985 with total page 382 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Singularity Theory I by : V.I. Arnold
Download or read book Singularity Theory I written by V.I. Arnold and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 250 pages. Available in PDF, EPUB and Kindle. Book excerpt: This is a compact guide to the principles and main applications of Singularity Theory by one of the world’s top research groups. It includes a number of new results as well as a carefully prepared and extensive bibliography that makes it easy to find the necessary details. It’s ideal for any mathematician or physicist interested in modern mathematical analysis.
Book Synopsis Singularities of Differentiable Maps by : V.I. Arnold
Download or read book Singularities of Differentiable Maps written by V.I. Arnold and published by Birkhäuser. This book was released on 2012-02-22 with total page 492 pages. Available in PDF, EPUB and Kindle. Book excerpt: The present. volume is the second volume of the book "Singularities of Differentiable Maps" by V.1. 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. This means that the questions considered in it are about the structure of singularities and how they function. Another distinctive feature of the present volume is that we take a hard look at questions for which it is important to work in the complex domain, where the first volume was devoted to themes for which, on the whole, it was not important which field (real or complex) we were considering. Such topics as, for example, decomposition of singularities, the connection between singularities and Lie algebras and the asymptotic behaviour of different integrals depending on parameters become clearer in the complex domain. The book consists of three parts. In the first part we consider the topological structure of isolated critical points of holomorphic functions. We describe the fundamental topological characteristics of such critical points: vanishing cycles, distinguished bases, intersection matrices, monodromy groups, the variation operator and their interconnections and method of calculation.
Book Synopsis Singularities of Differentiable Maps by : Vladimir Igorevich Arnolʹd
Download or read book Singularities of Differentiable Maps written by Vladimir Igorevich Arnolʹd and published by . This book was released on 1988 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Singularities of Differentiable Maps by : Vladimir Igorevič Arnolʹd
Download or read book Singularities of Differentiable Maps written by Vladimir Igorevič Arnolʹd and published by . This book was released on 2012 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Singularities of Differentiable Maps by : Vladimir Igorevič Arnol'd
Download or read book Singularities of Differentiable Maps written by Vladimir Igorevič Arnol'd and published by . This book was released on 2012 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt:
