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    Three-Dimensional Link Theory and Invariants of Plane Curve Singularities

    Posted By: roxul
    Three-Dimensional Link Theory and Invariants of Plane Curve Singularities

    David Eisenbud, "Three-Dimensional Link Theory and Invariants of Plane Curve Singularities "
    English | ISBN: 0691083819 | | 180 pages | PDF | 5 MB

    Singularities of Differentiable Maps, Volume 2: Monodromy and Asymptotics of Integrals (Repost)

    Posted By: AvaxGenius
    Singularities of Differentiable Maps, Volume 2: Monodromy and Asymptotics of Integrals (Repost)

    Singularities of Differentiable Maps, Volume 2: Monodromy and Asymptotics of Integrals by V.I. Arnold , S.M. Gusein-Zade , A.N. Varchenko
    English | PDF (True) | 2012 | 500 Pages | ISBN : 0817683429 | 60.1 MB

    ​​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.

    Singularities of Differentiable Maps, Volume 1: Classification of Critical Points, Caustics and Wave Fronts (Repost)

    Posted By: AvaxGenius
    Singularities of Differentiable Maps, Volume 1: Classification of Critical Points, Caustics and Wave Fronts (Repost)

    Singularities of Differentiable Maps, Volume 1: Classification of Critical Points, Caustics and Wave Fronts by V.I. Arnold , S.M. Gusein-Zade , A.N. Varchenko
    English | PDF (True) | 2012 | 393 Pages | ISBN : 0817683399 | 117.1 MB

    ​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.

    Singularities of Differentiable Maps Volume II Monodromy and Asymptotic Integrals

    Posted By: AvaxGenius
    Singularities of Differentiable Maps Volume II Monodromy and Asymptotic Integrals

    Singularities of Differentiable Maps Volume II Monodromy and Asymptotic Integrals by V. I. Arnold, S. M. Gusein-Zade, A. N. Varchenko
    English | PDF | 1988 | 498 Pages | ISBN : 1461284082 | 36.3 MB

    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.

    Singularities of Differentiable Maps Volume I: The Classification of Critical Points Caustics and Wave Fronts

    Posted By: AvaxGenius
    Singularities of Differentiable Maps Volume I: The Classification of Critical Points Caustics and Wave Fronts

    Singularities of Differentiable Maps Volume I: The Classification of Critical Points Caustics and Wave Fronts by V. I. Arnold , S. M. Gusein-Zade , A. N. Varchenko
    English | PDF | 1985 | 390 Pages | ISBN : 1461295890 | 25.6 MB

    … 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).

    Singularities in Physics and Engineering (Iop Ebooks)

    Posted By: Free butterfly
    Singularities in Physics and Engineering (Iop Ebooks)

    Singularities in Physics and Engineering (Iop Ebooks) by Paramasivam Senthilkumaran
    English | April 6, 2024 | ISBN: 0750349808 | 350 pages | MOBI | 33 Mb

    Trends in Singularities

    Posted By: AvaxGenius
    Trends in Singularities

    Trends in Singularities by Anatoly Libgober, Mihai Tibăr
    English | PDF | 2002 | 250 Pages | ISBN : 3764367040 | 24.1 MB

    The collection of papers in this volume represents recent advances in the under­ standing of the geometry and topology of singularities. The book covers a broad range of topics which are in the focus of contemporary singularity theory. Its idea emerged during two Singularities workshops held at the University of Lille (USTL) in 1999 and 2000. Due to the breadth of singularity theory, a single volume can hardly give the complete picture of today's progress. Nevertheless, this collection of papers provides a good snapshot of what is the state of affairs in the field, at the turn of the century. Several papers deal with global aspects of singularity theory. Classification of fam­ ilies of plane curves with prescribed singularities were among the first problems in algebraic geometry. Classification of plane cubics was known to Newton and classification of quartics was achieved by Klein at the end of the 19th century.

    Singularities in Gravitational Systems: Applications to Chaotic Transport in the Solar System

    Posted By: AvaxGenius
    Singularities in Gravitational Systems: Applications to Chaotic Transport in the Solar System

    Singularities in Gravitational Systems: Applications to Chaotic Transport in the Solar System by Daniel Benest, Claude Froeschlé
    English | PDF | 2002 | 226 Pages | ISBN : 3540437657 | 3.9 MB

    Chaos theory plays an important role in modern physics and related sciences, but -, the most important results so far have been obtained in the study of gravitational systems applied to celestial mechanics. The present set of lectures introduces the mathematical methods used in the theory of singularities in gravitational systems, reviews modeling techniques for the simulation of close encounters and presents the state of the art about the study of diffusion of comets, wandering asteroids, meteors and planetary ring particles. The book will be of use to researchers and graduate students alike.

    Singularities, Mirror Symmetry, and the Gauged Linear Sigma Model

    Posted By: interes
    Singularities, Mirror Symmetry, and the Gauged Linear Sigma Model

    Singularities, Mirror Symmetry, and the Gauged Linear Sigma Model (Contemporary Mathematics) by Tyler J. Jarvis, Nathan Priddis
    English | February 26, 2021 | ISBN: 1470457008 | 203 pages | PDF | 18 MB

    Valuing the Unique: The Economics of Singularities

    Posted By: ksveta6
    Valuing the Unique: The Economics of Singularities

    Valuing the Unique: The Economics of Singularities by Lucien Karpik
    2010 | ISBN: 0691135843, 0691137102 | English | 288 pages | EPUB, PDF (True) | 2 + 2 MB

    Singularities and Foliations. Geometry, Topology and Applications (Repost)

    Posted By: AvaxGenius
    Singularities and Foliations. Geometry, Topology and Applications (Repost)

    Singularities and Foliations. Geometry, Topology and Applications: BMMS 2/NBMS 3, Salvador, Brazil, 2015 By Raimundo Nonato Araújo dos Santos
    English | EPUB | 2018 | 552 Pages | ISBN : 3319736388 | 12.34 MB

    This proceedings book brings selected works from two conferences, the 2nd Brazil-Mexico Meeting on Singularity and the 3rd Northeastern Brazilian Meeting on Singularities, that were hold in Salvador, in July 2015.

    Mathematical Models with Singularities: A Zoo of Singular Creatures (Atlantis Briefs in Differential Equations

    Posted By: roxul
    Mathematical Models with Singularities: A Zoo of Singular Creatures (Atlantis Briefs in Differential Equations

    Pedro J. Torres, "Mathematical Models with Singularities: A Zoo of Singular Creatures (Atlantis Briefs in Differential Equations "
    English | ISBN: 946239105X | 2015 | 137 pages | EPUB | 2 MB

    Introduction to Lipschitz Geometry of Singularities: Lecture Notes of the International School on Singularity Theory and

    Posted By: roxul
    Introduction to Lipschitz Geometry of Singularities: Lecture Notes of the International School on Singularity Theory and

    Walter Neumann, "Introduction to Lipschitz Geometry of Singularities: Lecture Notes of the International School on Singularity Theory and"
    English | ISBN: 3030618064 | 2020 | 362 pages | EPUB, PDF | 18 MB + 8 MB

    Handbook of Geometry and Topology of Singularities I

    Posted By: roxul
    Handbook of Geometry and Topology of Singularities I

    José Luis Cisneros Molina, "Handbook of Geometry and Topology of Singularities I"
    English | ISBN: 3030530604 | 2020 | 619 pages | PDF | 12 MB