Singularities Of Mappings

Download Singularities Of Mappings full books in PDF, epub, and Kindle. Read online Singularities Of Mappings ebook anywhere anytime directly on your device. Fast Download speed and no annoying ads. We cannot guarantee that every ebooks is available!

Singularities of Mappings

Author : David Mond
Publisher : Springer Nature
ISBN 13 : 3030344401
Total Pages : 567 pages
Book Rating : 4.0/5 (33 download)

DOWNLOAD NOW!

Book Synopsis Singularities of Mappings by : David Mond

Download or read book Singularities of Mappings written by David Mond and published by Springer Nature. This book was released on 2020-01-23 with total page 567 pages. Available in PDF, EPUB and Kindle. Book excerpt: The first monograph on singularities of mappings for many years, this book provides an introduction to the subject and an account of recent developments concerning the local structure of complex analytic mappings. Part I of the book develops the now classical real C∞ and complex analytic theories jointly. Standard topics such as stability, deformation theory and finite determinacy, are covered in this part. In Part II of the book, the authors focus on the complex case. The treatment is centred around the idea of the "nearby stable object" associated to an unstable map-germ, which includes in particular the images and discriminants of stable perturbations of unstable singularities. This part includes recent research results, bringing the reader up to date on the topic. 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 could be based on the material it contains.

Stable Mappings and Their Singularities

Author : M. Golubitsky
Publisher : Springer
ISBN 13 :
Total Pages : 230 pages
Book Rating : 4.3/5 (91 download)

DOWNLOAD NOW!

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. This book was released on 1974-03-29 with total page 230 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.

Singularities of Differentiable Maps

Author : V.I. Arnold
Publisher : Springer Science & Business Media
ISBN 13 : 1461251540
Total Pages : 390 pages
Book Rating : 4.4/5 (612 download)

DOWNLOAD NOW!

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 2012-12-06 with total page 390 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).

Singularities of Differentiable Maps, Volume 2

Author : Elionora Arnold
Publisher : Springer Science & Business Media
ISBN 13 : 0817683437
Total Pages : 492 pages
Book Rating : 4.8/5 (176 download)

DOWNLOAD NOW!

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 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.

Theorems on Regularity and Singularity of Energy Minimizing Maps

Author : Leon Simon
Publisher : Birkhäuser
ISBN 13 : 3034891938
Total Pages : 160 pages
Book Rating : 4.0/5 (348 download)

DOWNLOAD NOW!

Book Synopsis Theorems on Regularity and Singularity of Energy Minimizing Maps by : Leon Simon

Download or read book Theorems on Regularity and Singularity of Energy Minimizing Maps written by Leon Simon and published by Birkhäuser. This book was released on 2012-12-06 with total page 160 pages. Available in PDF, EPUB and Kindle. Book excerpt: The aim of these lecture notes is to give an essentially self-contained introduction to the basic regularity theory for energy minimizing maps, including recent developments concerning the structure of the singular set and asymptotics on approach to the singular set. Specialized knowledge in partial differential equations or the geometric calculus of variations is not required; a good general background in mathematical analysis would be adequate preparation.

Singularities of Differentiable Mappings

Author : Harold I. Levine
Publisher :
ISBN 13 :
Total Pages : 136 pages
Book Rating : 4.3/5 (91 download)

DOWNLOAD NOW!

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:

Invariant Manifolds, Entropy and Billiards. Smooth Maps with Singularities

Author : Anatole Katok
Publisher : Springer
ISBN 13 : 3540473491
Total Pages : 292 pages
Book Rating : 4.5/5 (44 download)

DOWNLOAD NOW!

Book Synopsis Invariant Manifolds, Entropy and Billiards. Smooth Maps with Singularities by : Anatole Katok

Download or read book Invariant Manifolds, Entropy and Billiards. Smooth Maps with Singularities written by Anatole Katok and published by Springer. This book was released on 2006-12-08 with total page 292 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Stable Mappings and Their Singularities

Author : M. Golubitsky
Publisher : Springer Science & Business Media
ISBN 13 : 146157904X
Total Pages : 220 pages
Book Rating : 4.4/5 (615 download)

DOWNLOAD NOW!

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.

Resolution of Singularities

Author : Steven Dale Cutkosky
Publisher : American Mathematical Soc.
ISBN 13 : 0821835556
Total Pages : 198 pages
Book Rating : 4.8/5 (218 download)

DOWNLOAD NOW!

Book Synopsis Resolution of Singularities by : Steven Dale Cutkosky

Download or read book Resolution of Singularities written by Steven Dale Cutkosky and published by American Mathematical Soc.. This book was released on 2004 with total page 198 pages. Available in PDF, EPUB and Kindle. Book excerpt: The notion of singularity is basic to mathematics. In algebraic geometry, the resolution of singularities by simple algebraic mappings is truly a fundamental problem. It has a complete solution in characteristic zero and partial solutions in arbitrary characteristic. The resolution of singularities in characteristic zero is a key result used in many subjects besides algebraic geometry, such as differential equations, dynamical systems, number theory, the theory of $\mathcal{D $-modules, topology, and mathematical physics. This book is a rigorous, but instructional, look at resolutions. A simplified proof, based on canonical resolutions, is given for characteristic zero. There are several proofs given for resolution of curves and surfaces in characteristic zero and arbitrary characteristic. Besides explaining the tools needed for understanding resolutions, Cutkosky explains the history and ideas, providing valuable insight and intuition for the novice (or expert). There are many examples and exercises throughout the text. The book is suitable for a second course on an exciting topic in algebraic geometry. A core course on resolutions is contained in Chapters 2 through 6. Additional topics are covered in the final chapters. The prerequisite is a course covering the basic notions of schemes and sheaves.

Singularities of the Minimal Model Program

Author : János Kollár
Publisher : Cambridge University Press
ISBN 13 : 1107035341
Total Pages : 381 pages
Book Rating : 4.1/5 (7 download)

DOWNLOAD NOW!

Book Synopsis Singularities of the Minimal Model Program by : János Kollár

Download or read book Singularities of the Minimal Model Program written by János Kollár and published by Cambridge University Press. This book was released on 2013-02-21 with total page 381 pages. Available in PDF, EPUB and Kindle. Book excerpt: An authoritative reference and the first comprehensive treatment of the singularities of the minimal model program.

Handbook of Geometry and Topology of Singularities I

Author : José Luis Cisneros Molina
Publisher : Springer Nature
ISBN 13 : 3030530612
Total Pages : 616 pages
Book Rating : 4.0/5 (35 download)

DOWNLOAD NOW!

Book Synopsis Handbook of Geometry and Topology of Singularities I by : José Luis Cisneros Molina

Download or read book Handbook of Geometry and Topology of Singularities I written by José Luis Cisneros Molina and published by Springer Nature. This book was released on 2020-10-24 with total page 616 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume consists of ten articles which provide an in-depth and reader-friendly survey of some of the foundational aspects of singularity theory. Authored by world experts, the various contributions deal with both classical material and modern developments, covering a wide range of topics which are linked to each other in fundamental ways. Singularities are ubiquitous in mathematics and science in general. Singularity theory interacts energetically with the rest of mathematics, acting as a crucible where different types of mathematical problems interact, surprising connections are born and simple questions lead to ideas which resonate in other parts of the subject. This is the first volume in a series which aims to provide an accessible account of the state-of-the-art of the subject, its frontiers, and its interactions with other areas of research. The book is addressed to graduate students and newcomers to the theory, as well as to specialists who can use it as a guidebook.

Stable Mappings and Their Singularities

Author : Martin Golubitsky
Publisher :
ISBN 13 : 9783540900733
Total Pages : 209 pages
Book Rating : 4.9/5 (7 download)

DOWNLOAD NOW!

Book Synopsis Stable Mappings and Their Singularities by : Martin Golubitsky

Download or read book Stable Mappings and Their Singularities written by Martin Golubitsky and published by . This book was released on 1973 with total page 209 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Singular Points of Smooth Mappings

Author : Christopher G. Gibson
Publisher : Pitman Publishing
ISBN 13 :
Total Pages : 254 pages
Book Rating : 4.3/5 (91 download)

DOWNLOAD NOW!

Book Synopsis Singular Points of Smooth Mappings by : Christopher G. Gibson

Download or read book Singular Points of Smooth Mappings written by Christopher G. Gibson and published by Pitman Publishing. This book was released on 1979 with total page 254 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Singularities of Caustics and Wave Fronts

Author : Vladimir Arnold
Publisher : Springer Science & Business Media
ISBN 13 : 9401133301
Total Pages : 271 pages
Book Rating : 4.4/5 (11 download)

DOWNLOAD NOW!

Book Synopsis Singularities of Caustics and Wave Fronts by : Vladimir Arnold

Download or read book Singularities of Caustics and Wave Fronts written by Vladimir Arnold and published by Springer Science & Business Media. This book was released on 2013-12-01 with total page 271 pages. Available in PDF, EPUB and Kindle. Book excerpt: One service mathematics has rendered the 'Et moi ...) si j'avait su comment en revenir, human race. It has put common sense back je n'y serais point aile.' Jules Verne where it belongs, on the topmost shelf next to the dusty canister labelled 'discarded non The series is divergent; therefore we may be sense'. ErieT. Bell able to do something with it. O. Heaviside Mathematics is a tool for thought. A highly necessary tool in a world where both feedback and non linearities abound. Similarly, all kinds of parts of mathematics serve as tools for other parts and for other sciences. Applying a simple rewriting rule to the quote on the right above one finds such statements as: 'One service topology has rendered mathematical physics .. .'; 'One service logic has rendered com puter science .. .'; 'One service category theory has rendered mathematics .. .'. All arguably true. And all statements obtainable this way form part of the raison d'etre of this series.

Singularities of Differentiable Maps, Volume 1

Author : V.I. Arnold
Publisher : Springer Science & Business Media
ISBN 13 : 0817683402
Total Pages : 393 pages
Book Rating : 4.8/5 (176 download)

DOWNLOAD NOW!

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.

Handbook of Geometry and Topology of Singularities III

Author : José Luis Cisneros-Molina
Publisher : Springer Nature
ISBN 13 : 3030957608
Total Pages : 822 pages
Book Rating : 4.0/5 (39 download)

DOWNLOAD NOW!

Book Synopsis Handbook of Geometry and Topology of Singularities III by : José Luis Cisneros-Molina

Download or read book Handbook of Geometry and Topology of Singularities III written by José Luis Cisneros-Molina and published by Springer Nature. This book was released on 2022-06-06 with total page 822 pages. Available in PDF, EPUB and Kindle. Book excerpt: This is the third volume of the Handbook of Geometry and Topology of Singularities, a series which aims to provide an accessible account of the state of the art of the subject, its frontiers, and its interactions with other areas of research. This volume consists of ten chapters which provide an in-depth and reader-friendly survey of various important aspects of singularity theory. Some of these complement topics previously explored in volumes I and II, such as, for instance, Zariski’s equisingularity, the interplay between isolated complex surface singularities and 3-manifold theory, stratified Morse theory, constructible sheaves, the topology of the non-critical levels of holomorphic functions, and intersection cohomology. Other chapters bring in new subjects, such as the Thom–Mather theory for maps, characteristic classes for singular varieties, mixed Hodge structures, residues in complex analytic varieties, nearby and vanishing cycles, and more. Singularities are ubiquitous in mathematics and science in general. Singularity theory interacts energetically with the rest of mathematics, acting as a crucible where different types of mathematical problems interact, surprising connections are born and simple questions lead to ideas which resonate in other parts of the subject, and in other subjects. Authored by world experts, the various contributions deal with both classical material and modern developments, covering a wide range of topics which are linked to each other in fundamental ways. The book is addressed to graduate students and newcomers to the theory, as well as to specialists who can use it as a guidebook.

Real and Complex Singularities

Author : Laurentiu Paunescu
Publisher : World Scientific
ISBN 13 : 9812705511
Total Pages : 475 pages
Book Rating : 4.8/5 (127 download)

DOWNLOAD NOW!

Book Synopsis Real and Complex Singularities by : Laurentiu Paunescu

Download or read book Real and Complex Singularities written by Laurentiu Paunescu and published by World Scientific. This book was released on 2007 with total page 475 pages. Available in PDF, EPUB and Kindle. Book excerpt: The modern theory of singularities provides a unifying theme that runs through fields of mathematics as diverse as homological algebra and Hamiltonian systems. It is also an important point of reference in the development of a large part of contemporary algebra, geometry and analysis. Presented by internationally recognized experts, the collection of articles in this volume yields a significant cross-section of these developments. The wide range of surveys includes an authoritative treatment of the deformation theory of isolated complex singularities by prize-winning researcher K Miyajima. Graduate students and even ambitious undergraduates in mathematics will find many research ideas in this volume and non-experts in mathematics can have an overview of some classic and fundamental results in singularity theory. The explanations are detailed enough to capture the interest of the curious reader, and complete enough to provide the necessary background material needed to go further into the subject and explore the research literature.