Singularity Theory And Its Applications

Author : Mark Roberts
Publisher : Springer
ISBN 13 : 3540470476
Total Pages : 329 pages
Book Rating : 4.72/5 ( download)

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Download or read book Singularity Theory and its Applications written by Mark Roberts and published by Springer. This book was released on 2006-11-14 with total page 329 pages. Available in PDF, EPUB and Kindle. Book excerpt: A workshop on Singularities, Bifuraction and Dynamics was held at Warwick in July 1989, as part of a year-long symposium on Singularity Theory and its applications. The proceedings fall into two halves: Volume I mainly on connections with algebraic geometry and volume II on connections with dynamical systems theory, bifurcation theory and applications in the sciences. The papers are original research, stimulated by the symposium and workshop: All have been refereed and none will appear elsewhere. The main topic of volume II is new methods for the study of bifurcations in nonlinear dynamical systems, and applications of these.

Author : David Mond
Publisher : Springer
ISBN 13 : 3540470603
Total Pages : 416 pages
Book Rating : 4.01/5 ( download)

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Download or read book Singularity Theory and its Applications written by David Mond and published by Springer. This book was released on 2006-11-14 with total page 416 pages. Available in PDF, EPUB and Kindle. Book excerpt: A workshop on Singularities, Bifurcation and Dynamics was held at Warwick in July 1989 as part of a year-long symposium on Singularity Theory and its applications. The proceedings fall into two halves: Volume I mainly on connections with algebraic geometry and volume II on connections with dynamical systems theory, bifurcation theory, and applications in the sciences. The papers are orginal research, stimulated by the symposium and workshops: All have been refereed, and none will appear elsewhere. The main topic, deformation theory, is represented by several papers on descriptions of the bases of versal deformations, and several more on descriptions of the generic fibres. Other topics include stratifications, and applications to differential geometry.

Author : Vladimir Igorevich Arnold
Publisher : Springer Science & Business Media
ISBN 13 : 9783540505839
Total Pages : 264 pages
Book Rating : 4.30/5 ( download)

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Download or read book Dynamical Systems VI written by Vladimir Igorevich Arnold and published by Springer Science & Business Media. This book was released on 1993 with total page 264 pages. Available in PDF, EPUB and Kindle. Book excerpt: '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 : Vladimir Igorevich Arnolʹd
Publisher : Cambridge University Press
ISBN 13 : 9780521422802
Total Pages : 88 pages
Book Rating : 4.09/5 ( download)

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Download or read book The Theory of Singularities and Its Applications written by Vladimir Igorevich Arnolʹd and published by Cambridge University Press. This book was released on 1991-05-31 with total page 88 pages. Available in PDF, EPUB and Kindle. Book excerpt: In this book, which is based on lectures given in Pisa under the auspices of the Accademia Nazionale dei Lincei, the distinguished mathematician Vladimir Arnold describes those singularities encountered in different branches of mathematics. He avoids giving difficult proofs of all the results in order to provide the reader with a concise and accessible overview of the many guises and areas in which singularities appear, such as geometry and optics; optimal control theory and algebraic geometry; reflection groups and dynamical systems and many more. This will be an excellent companion for final year undergraduates and graduates whose area of study brings them into contact with singularities.

Author : David Mond
Publisher :
ISBN 13 : 9783662187661
Total Pages : 416 pages
Book Rating : 4.63/5 ( download)

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Download or read book Singularity Theory and Its Applications written by David Mond and published by . This book was released on 2014-01-15 with total page 416 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Author : Gert-Martin Greuel
Publisher : Springer Science & Business Media
ISBN 13 : 3540284192
Total Pages : 482 pages
Book Rating : 4.92/5 ( download)

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Download or read book Introduction to Singularities and Deformations written by Gert-Martin Greuel and published by Springer Science & Business Media. This book was released on 2007-02-23 with total page 482 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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 : Mark Roberts
Publisher :
ISBN 13 : 9783662198636
Total Pages : 332 pages
Book Rating : 4.30/5 ( download)

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Download or read book Singularity Theory and Its Applications written by Mark Roberts and published by . This book was released on 2014-09-01 with total page 332 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Author : David Mond
Publisher : Springer
ISBN 13 : 9783540537373
Total Pages : 430 pages
Book Rating : 4.76/5 ( download)

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Download or read book Singularity Theory and its Applications written by David Mond and published by Springer. This book was released on 1991-07-15 with total page 430 pages. Available in PDF, EPUB and Kindle. Book excerpt: A workshop on Singularities, Bifurcation and Dynamics was held at Warwick in July 1989 as part of a year-long symposium on Singularity Theory and its applications. The proceedings fall into two halves: Volume I mainly on connections with algebraic geometry and volume II on connections with dynamical systems theory, bifurcation theory, and applications in the sciences. The papers are orginal research, stimulated by the symposium and workshops: All have been refereed, and none will appear elsewhere. The main topic, deformation theory, is represented by several papers on descriptions of the bases of versal deformations, and several more on descriptions of the generic fibres. Other topics include stratifications, and applications to differential geometry.

Author : V.I. Arnol'd
Publisher : Springer Science & Business Media
ISBN 13 : 3662067986
Total Pages : 241 pages
Book Rating : 4.87/5 ( download)

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Download or read book Dynamical Systems VIII written by V.I. Arnol'd and published by Springer Science & Business Media. This book was released on 2013-03-09 with total page 241 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is devoted to applications of singularity theory in mathematics and physics, covering a broad spectrum of topics and problems. "The book contains a huge amount of information from all the branches of Singularity Theory, presented in a very attractive way, with lots of inspiring pictures." --ZENTRALBLATT MATH

Author : Martin Golubitsky
Publisher : Springer Science & Business Media
ISBN 13 : 146125034X
Total Pages : 480 pages
Book Rating : 4.40/5 ( download)

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Download or read book Singularities and Groups in Bifurcation Theory written by Martin Golubitsky and published by Springer Science & Business Media. This book was released on 2013-11-27 with total page 480 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.