Singularity Theory PDF Download
Are you looking for read ebook online? Search for your book and save it on your Kindle device, PC, phones or tablets. Download Singularity Theory PDF full book. Access full book title Singularity Theory.
Author | : Arlie O. Petters |
Publisher | : Springer Science & Business Media |
Total Pages | : 616 |
Release | : 2012-12-06 |
Genre | : Science |
ISBN | : 1461201454 |
Download Singularity Theory and Gravitational Lensing Book in PDF, ePub and Kindle
This monograph is the first to develop a mathematical theory of gravitational lensing. The theory applies to any finite number of deflector planes and highlights the distinctions between single and multiple plane lensing. Introductory material in Parts I and II present historical highlights and the astrophysical aspects of the subject. Part III employs the ideas and results of singularity theory to put gravitational lensing on a rigorous mathematical foundation.
Author | : Vladimir Igorevich Arnold |
Publisher | : Springer Science & Business Media |
Total Pages | : 264 |
Release | : 1993 |
Genre | : Celestial mechanics |
ISBN | : 9783540505839 |
Download Dynamical Systems VI Book in PDF, ePub and Kindle
'EMS 6' is the latest volume in the sub series 'Dynamical Systems of the Encyclopaedia'. It is the first of two volumes covering Singularity Theory, which, besides its fundamental use in Dynamical Systems and Bifurcation Theory, is an important part of other fields such as algebraic geometry, differential geometry and geometric optics.
Author | : Alexandru Dimca |
Publisher | : Springer Science & Business Media |
Total Pages | : 253 |
Release | : 2012-12-06 |
Genre | : Mathematics |
ISBN | : 3642188680 |
Download Sheaves in Topology Book in PDF, ePub and Kindle
Constructible and perverse sheaves are the algebraic counterpart of the decomposition of a singular space into smooth manifolds. This introduction to the subject can be regarded as a textbook on modern algebraic topology, treating the cohomology of spaces with sheaf (as opposed to constant) coefficients. The author helps readers progress quickly from the basic theory to current research questions, thoroughly supported along the way by examples and exercises.
Author | : Ray Kurzweil |
Publisher | : Penguin |
Total Pages | : 992 |
Release | : 2005-09-22 |
Genre | : Social Science |
ISBN | : 1101218886 |
Download The Singularity Is Near Book in PDF, ePub and Kindle
NEW YORK TIMES BESTSELLER • Celebrated futurist Ray Kurzweil, hailed by Bill Gates as “the best person I know at predicting the future of artificial intelligence,” presents an “elaborate, smart, and persuasive” (The Boston Globe) view of the future course of human development. “Artfully envisions a breathtakingly better world.”—Los Angeles Times “Startling in scope and bravado.”—Janet Maslin, The New York Times “An important book.”—The Philadelphia Inquirer At the onset of the twenty-first century, humanity stands on the verge of the most transforming and thrilling period in its history. It will be an era in which the very nature of what it means to be human will be both enriched and challenged as our species breaks the shackles of its genetic legacy and achieves inconceivable heights of intelligence, material progress, and longevity. While the social and philosophical ramifications of these changes will be profound, and the threats they pose considerable, The Singularity Is Near presents a radical and optimistic view of the coming age that is both a dramatic culmination of centuries of technological ingenuity and a genuinely inspiring vision of our ultimate destiny.
Author | : Yung-Chen Lu |
Publisher | : |
Total Pages | : 199 |
Release | : 1980 |
Genre | : |
ISBN | : 9781461299103 |
Download Singularity Theory and an Introduction to Catastrophe Theory Book in PDF, ePub and Kindle
Author | : Martin Golubitsky |
Publisher | : Springer Science & Business Media |
Total Pages | : 480 |
Release | : 2013-11-27 |
Genre | : Mathematics |
ISBN | : 146125034X |
Download Singularities and Groups in Bifurcation Theory Book in PDF, ePub and Kindle
This book has been written in a frankly partisian spirit-we believe that singularity theory offers an extremely useful approach to bifurcation prob lems and we hope to convert the reader to this view. In this preface we will discuss what we feel are the strengths of the singularity theory approach. This discussion then Ieads naturally into a discussion of the contents of the book and the prerequisites for reading it. Let us emphasize that our principal contribution in this area has been to apply pre-existing techniques from singularity theory, especially unfolding theory and classification theory, to bifurcation problems. Many ofthe ideas in this part of singularity theory were originally proposed by Rene Thom; the subject was then developed rigorously by John Matherand extended by V. I. Arnold. In applying this material to bifurcation problems, we were greatly encouraged by how weil the mathematical ideas of singularity theory meshed with the questions addressed by bifurcation theory. Concerning our title, Singularities and Groups in Bifurcation Theory, it should be mentioned that the present text is the first volume in a two-volume sequence. In this volume our emphasis is on singularity theory, with group theory playing a subordinate role. In Volume II the emphasis will be more balanced. Having made these remarks, Iet us set the context for the discussion of the strengths of the singularity theory approach to bifurcation. As we use the term, bifurcation theory is the study of equations with multiple solutions.
Author | : Gert-Martin Greuel |
Publisher | : Springer Science & Business Media |
Total Pages | : 482 |
Release | : 2007-02-23 |
Genre | : Mathematics |
ISBN | : 3540284192 |
Download Introduction to Singularities and Deformations Book in PDF, ePub and Kindle
Singularity theory is a young, rapidly-growing topic with connections to algebraic geometry, complex analysis, commutative algebra, representations theory, Lie groups theory and topology, and many applications in the natural and technical sciences. This book presents the basic singularity theory of analytic spaces, including local deformation theory and the theory of plane curve singularities. It includes complete proofs.
Author | : Shyuichi Izumiya |
Publisher | : World Scientific |
Total Pages | : 400 |
Release | : 2015-10-29 |
Genre | : Mathematics |
ISBN | : 9814590460 |
Download Differential Geometry from a Singularity Theory Viewpoint Book in PDF, ePub and Kindle
Differential Geometry from a Singularity Theory Viewpoint provides a new look at the fascinating and classical subject of the differential geometry of surfaces in Euclidean spaces. The book uses singularity theory to capture some key geometric features of surfaces. It describes the theory of contact and its link with the theory of caustics and wavefronts. It then uses the powerful techniques of these theories to deduce geometric information about surfaces embedded in 3, 4 and 5-dimensional Euclidean spaces. The book also includes recent work of the authors and their collaborators on the geometry of sub-manifolds in Minkowski spaces. Contents:The Case for the Singularity Theory ApproachSubmanifolds of the Euclidean SpaceSingularities of Germs of Smooth MappingsContact Between Submanifolds of ℝnLagrangian and Legendrian SingularitiesSurfaces in the Euclidean 3-SpaceSurfaces in the Euclidean 4-SpaceSurfaces in the Euclidean 5-SpaceSpacelike Surfaces in the Minkowski Space-TimeGlobal Viewpoint Readership: Advanced undergraduates and post-graduate students, and researchers in the fields of differential geometry and singularity theory. Key Features:The book is unique in its nature. It provides a coherent approach for studying the geometry of sub-manifolds of various ambient spaces from the singularity theory point of viewThe book informs the reader about the progress in the field of extrinsic differential geometry and singularity theory. The information is new and has not been treated in previous textbooksThe book gathers scattered work from various research articles, most of which are recent, and describes techniques that could be used to tackle problems in other areas of mathematicsKeywords:Contact;Extrinsic Geometry;Genericity;Caustics;Singularities;Surfaces;Transversality;Wave Fronts
Author | : James William Bruce |
Publisher | : Cambridge University Press |
Total Pages | : 344 |
Release | : 1992-11-26 |
Genre | : Mathematics |
ISBN | : 9780521429993 |
Download Curves and Singularities Book in PDF, ePub and Kindle
This second edition is an invaluable textbook for anyone who would like an introduction to the modern theories of catastrophies and singularities.
Author | : Shihoko Ishii |
Publisher | : Springer |
Total Pages | : 227 |
Release | : 2014-11-19 |
Genre | : Mathematics |
ISBN | : 443155081X |
Download Introduction to Singularities Book in PDF, ePub and Kindle
This book is an introduction to singularities for graduate students and researchers. It is said that algebraic geometry originated in the seventeenth century with the famous work Discours de la méthode pour bien conduire sa raison, et chercher la vérité dans les sciences by Descartes. In that book he introduced coordinates to the study of geometry. After its publication, research on algebraic varieties developed steadily. Many beautiful results emerged in mathematicians’ works. Most of them were about non-singular varieties. Singularities were considered “bad” objects that interfered with knowledge of the structure of an algebraic variety. In the past three decades, however, it has become clear that singularities are necessary for us to have a good description of the framework of varieties. For example, it is impossible to formulate minimal model theory for higher-dimensional cases without singularities. Another example is that the moduli spaces of varieties have natural compactification, the boundaries of which correspond to singular varieties. A remarkable fact is that the study of singularities is developing and people are beginning to see that singularities are interesting and can be handled by human beings. This book is a handy introduction to singularities for anyone interested in singularities. The focus is on an isolated singularity in an algebraic variety. After preparation of varieties, sheaves, and homological algebra, some known results about 2-dim ensional isolated singularities are introduced. Then a classification of higher-dimensional isolated singularities is shown according to plurigenera and the behavior of singularities under a deformation is studied.