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＜電子ブック＞
Singularities and Groups in Bifurcation Theory : Volume I / by Martin Golubitsky, David G. Schaeffer
(Applied Mathematical Sciences. ISSN:2196968X ; 51)

版	1st ed. 1985.
出版者	New York, NY : Springer New York : Imprint: Springer
出版年	1985
本文言語	英語
大きさ	XVIII, 466 p : online resource
冊子体	Singularities and groups in bifurcation theory / Martin Golubitsky, David G. Schaeffer ; v. 1 : us - v. 2 : gw
著者標目	*Golubitsky, Martin author Schaeffer, David G author SpringerLink (Online service)
件　名	LCSH:Mathematical analysis LCSH:Geometry LCSH:Mathematics FREE:Analysis FREE:Geometry FREE:Applications of Mathematics
一般注記	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 Accessibility summary: This PDF is not accessible. It is based on scanned pages and does not support features such as screen reader compatibility or described non-text content (images, graphs etc). However, it likely supports searchable and selectable text based on OCR (Optical Character Recognition). Users with accessibility needs may not be able to use this content effectively. Please contact us at accessibilitysupport@springernature.com if you require assistance or an alternative format Inaccessible, or known limited accessibility No reading system accessibility options actively disabled Publisher contact for further accessibility information: accessibilitysupport@springernature.com HTTP:URL=https://doi.org/10.1007/978-1-4612-5034-0

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