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Singularities and Groups in Bifurcation Theory: Volume I [Applied Mathematical S
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Ubicado en: Abingdon, Maryland, Estados Unidos
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N.º de artículo de eBay:127135055204
Características del artículo
- Estado
- ISBN
- 9780387909998
Acerca de este producto
Product Identifiers
Publisher
Springer New York
ISBN-10
0387909990
ISBN-13
9780387909998
eBay Product ID (ePID)
337848
Product Key Features
Number of Pages
Xviii, 466 Pages
Publication Name
Singularities and Groups in Bifurcation Theory
Language
English
Publication Year
1984
Subject
Group Theory, Geometry / General, Applied, Mathematical Analysis
Type
Textbook
Subject Area
Mathematics
Series
Applied Mathematical Sciences Ser.
Format
Hardcover
Dimensions
Item Weight
66.7 Oz
Item Length
9.2 in
Item Width
6.1 in
Additional Product Features
Intended Audience
Scholarly & Professional
LCCN
84-001414
Dewey Edition
19
Series Volume Number
51
Number of Volumes
1 vol.
Illustrated
Yes
Volume Number
Vol. 1
Dewey Decimal
515.3/53
Synopsis
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., 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.
LC Classification Number
QA299.6-433
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