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Author : Christopher G. Gibson
Publisher : Pitman Publishing
ISBN 13 :
Total Pages : 254 pages
Book Rating : 4.3/5 (91 download)
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:
Author : V. I. Arnolʹd
Publisher :
ISBN 13 :
Total Pages : 240 pages
Book Rating : 4.P/5 (25 download)
Download or read book Singularities of Smooth Mappings with Additional Structures written by V. I. Arnolʹd and published by . This book was released on 1995 with total page 240 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Vladimir Igorevič Arnolʹd
Publisher :
ISBN 13 :
Total Pages : 43 pages
Book Rating : 4.:/5 (271 download)
Download or read book Singularities of Smooth Mappings written by Vladimir Igorevič Arnolʹd and published by . This book was released on 1967 with total page 43 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : V. I. Arnolʹd
Publisher :
ISBN 13 :
Total Pages : 242 pages
Book Rating : 4.F/5 ( download)
Download or read book Singularities of Smooth Mappings with Additional Structures written by V. I. Arnolʹd and published by . This book was released on 1995 with total page 242 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : V.I. Arnold
Publisher : Springer Science & Business Media
ISBN 13 : 9780817631871
Total Pages : 512 pages
Book Rating : 4.6/5 (318 download)
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).
Author : Laurentiu Paunescu
Publisher : World Scientific
ISBN 13 : 9812705511
Total Pages : 475 pages
Book Rating : 4.8/5 (127 download)
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.
Author : Serguei Petrovich Novikov
Publisher : World Scientific
ISBN 13 : 9814475955
Total Pages : 386 pages
Book Rating : 4.8/5 (144 download)
Download or read book Topological Library - Part 1: Cobordisms And Their Applications written by Serguei Petrovich Novikov and published by World Scientific. This book was released on 2007-07-09 with total page 386 pages. Available in PDF, EPUB and Kindle. Book excerpt: This is the first of three volumes collecting the original and now classic works in topology written in the 50s-60s. The original methods and constructions from these works are properly documented for the first time in this book. No existing book covers the beautiful ensemble of methods created in topology starting from approximately 1950, that is, from Serre's celebrated “Singular homologies of fibre spaces.”This is the translation of the Russian edition published in 2005 with one entry (Milnor's lectures on the h-cobordism) omitted.
Author : Victor Goryunov
Publisher : American Mathematical Soc.
ISBN 13 : 0821853597
Total Pages : 218 pages
Book Rating : 4.8/5 (218 download)
Download or read book Real and Complex Singularities written by Victor Goryunov and published by American Mathematical Soc.. This book was released on 2012 with total page 218 pages. Available in PDF, EPUB and Kindle. Book excerpt: "This volume is a collection of papers presented at the 11th International Workshop on Real and Complex Singularities, held July 26-30, 2010, in Sao Carlos, Brazil, in honor of David Mond's 60th birthday. This volume reflects the high level of the conference discussing the most recent results and applications of singularity theory. Articles in the first part cover pure singularity theory: invariants, classification theory, and Milnor fibres. Articles in the second part cover singularities in topology and differential geometry, as well as algebraic geometry and bifurcation theory: Artin-Greenberg function of a plane curve singularity, metric theory of singularities, symplectic singularities, cobordisms of fold maps, Goursat distributions, sections of analytic varieties, Vassiliev invariants, projections of hypersurfaces, and linearity of the Jacobian ideal."--P. [4] of cover.
Author : David Mond
Publisher : Springer Nature
ISBN 13 : 3030344401
Total Pages : 567 pages
Book Rating : 4.0/5 (33 download)
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.
Author : Vagn Lundsgaard Hansen
Publisher : World Scientific
ISBN 13 : 9789810238940
Total Pages : 250 pages
Book Rating : 4.2/5 (389 download)
Download or read book Fundamental Concepts in Modern Analysis written by Vagn Lundsgaard Hansen and published by World Scientific. This book was released on 1999 with total page 250 pages. Available in PDF, EPUB and Kindle. Book excerpt: Many advanced mathematical disciplines, such as dynamical systems, calculus of variations, differential geometry and the theory of Lie groups, have a common foundation in general topology and calculus in normed vector spaces. In this book, mathematically inclined engineering students are offered an opportunity to go into some depth with fundamental notions from mathematical analysis that are not only important from a mathematical point of view but also occur frequently in the more theoretical parts of the engineering sciences. The book should also appeal to university students in mathematics and in the physical sciences.
Author : James William Bruce
Publisher : CRC Press
ISBN 13 : 9781584881421
Total Pages : 292 pages
Book Rating : 4.8/5 (814 download)
Download or read book Real and Complex Singularities written by James William Bruce and published by CRC Press. This book was released on 1999-08-26 with total page 292 pages. Available in PDF, EPUB and Kindle. Book excerpt: The boundaries of singularity theory are broad and vague, connecting the most important applications of mathematics and science with more abstract areas. Optics, robotics, computer vision, Hamiltonian mechanics, bifurcation theory and differential equations are among the variety of topics that benefit from developments in the theory. With singularity theory encompassing more and more applications, Real and Complex Singularities provides insight into the future of this expanding field. Comprising refereed contributions to the Fifth Workshop on Real and Complex Singularities, this volume addresses three important areas related to the broad subject of singularities. The first section deals with questions within singularity theory itself, representing the topics currently being investigated. The second explores applications of singularity theory to differential geometry, robotics, and computer vision. The final section consists of applications to bifurcation theory and dynamical systems. With over two-hundred tables that provide quick access to data, this volume is a complete overview of the most current topics and applications of singularity theory. Real and Complex Singularities creates the opportunity for you to stay up-to-date with recent advances and discover promising directions for future research in the field.
Author : R. V. Gamkrelidze
Publisher : CRC Press
ISBN 13 : 9782881240355
Total Pages : 276 pages
Book Rating : 4.2/5 (43 download)
Download or read book Algebraic and Differential Topology written by R. V. Gamkrelidze and published by CRC Press. This book was released on 1987-03-06 with total page 276 pages. Available in PDF, EPUB and Kindle. Book excerpt: Algebraic and Differential Topology presents in a clear, concise, and detailed manner the fundamentals of homology theory. It first defines the concept of a complex and its Betti groups, then discusses the topolgoical invariance of a Betti group. The book next presents various applications of homology theory, such as mapping of polyhedrons onto other polyhedrons as well as onto themselves. The third volume in L.S. Pontryagin's Selected Works, this book provides as many insights into algebraic topology for today's mathematician as it did when the author was making his initial endeavors into this field.
Author : Andreas Müller
Publisher : Springer
ISBN 13 : 3030052192
Total Pages : 229 pages
Book Rating : 4.0/5 (3 download)
Download or read book Singular Configurations of Mechanisms and Manipulators written by Andreas Müller and published by Springer. This book was released on 2019-02-19 with total page 229 pages. Available in PDF, EPUB and Kindle. Book excerpt: The book introduces the main problems, key methods, and milestone results in singularity analysis of mechanisms. It provides a comprehensive and concise overview of basic results while also addressing a few advanced topics of singularities in mechanical systems and robots.
Author : V.I. Arnold
Publisher : Springer Science & Business Media
ISBN 13 : 3642580092
Total Pages : 250 pages
Book Rating : 4.6/5 (425 download)
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.
Author : Hans Chr. S. Brodersen
Publisher :
ISBN 13 :
Total Pages : pages
Book Rating : 4.:/5 (771 download)
Download or read book Some results on the singularities of smooth mappings and smooth map-germs written by Hans Chr. S. Brodersen and published by . This book was released on 1986 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : A.V. Arutyunov
Publisher : Springer Science & Business Media
ISBN 13 : 9401594384
Total Pages : 305 pages
Book Rating : 4.4/5 (15 download)
Download or read book Optimality Conditions: Abnormal and Degenerate Problems written by A.V. Arutyunov and published by Springer Science & Business Media. This book was released on 2013-03-09 with total page 305 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is devoted to one of the main questions of the theory of extremal prob lems, namely, to necessary and sufficient extremality conditions. It is intended mostly for mathematicians and also for all those who are interested in optimiza tion problems. The book may be useful for advanced students, post-graduated students, and researchers. The book consists of four chapters. In Chap. 1 we study the abstract minimization problem with constraints, which is often called the mathemati cal programming problem. Chapter 2 is devoted to one of the most important classes of extremal problems, the optimal control problem. In the third chapter we study one of the main objects of the calculus of variations, the integral quadratic form. In the concluding, fourth, chapter we study local properties of smooth nonlinear mappings in a neighborhood of an abnormal point. The problems which are studied in this book (of course, in addition to their extremal nature) are united by our main interest being in the study of the so called abnormal or degenerate problems. This is the main distinction of the present book from a large number of books devoted to theory of extremal problems, among which there are many excellent textbooks, and books such as, e.g., [13, 38, 59, 78, 82, 86, 101, 112, 119], to mention a few.
Author : David Aurel Stone
Publisher :
ISBN 13 : 9781470406639
Total Pages : 184 pages
Book Rating : 4.4/5 (66 download)
Download or read book The Exponential Map at an Isolated Singular Point written by David Aurel Stone and published by . This book was released on 1982 with total page 184 pages. Available in PDF, EPUB and Kindle. Book excerpt:
