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Singularities and Groups in Bifurcation Theory: Volume I (Applied Mathematical Sciences) - Martin Golubitsky; david schaeffer
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Martin Golubitsky; david schaeffer:

Singularities and Groups in Bifurcation Theory: Volume I (Applied Mathematical Sciences) - gebrauchtes Buch

ISBN: 0387909990

ID: 7623007

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 applied,differential equations,geometry,geometry and topology,group theory,mathematical analysis,mathematics,pure mathematics,science and math,science and math Mathematics, Springer

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Singularities and Groups in Bifurcation Theory - Golubitsky, Martin Schaeffer, David G.
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Golubitsky, Martin Schaeffer, David G.:

Singularities and Groups in Bifurcation Theory - gebunden oder broschiert

ISBN: 9780387909998

[ED: Hardcover], [PU: Springer, Berlin], 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.xviii, 466 S. 18 Tabellen. 234 mmVersandfertig in 3-5 Tagen, [SC: 0.00]

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Singularities and Groups in Bifurcation Theory: Volume 1 - Golubitsky, Martin / Schaeffer, David G.
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Golubitsky, Martin / Schaeffer, David G.:
Singularities and Groups in Bifurcation Theory: Volume 1 - gebrauchtes Buch

ISBN: 9780387909998

ID: 1184080

Bifurcation theory studies how the structure of solutions to equations changes as parameters are varied. The nature of these changes depends both on the number of parameters and on the symmetries of the equations. Volume I discusses how singularity-theoretic techniques aid the understanding of transitions in multiparameter systems. This volume focuses on bifurcation problems with symmetry and shows how group-theoretic techniques aid the understanding of transitions in symmetric systems. Four broad topics are covered: group theory and steady-state bifurcation, equicariant singularity theory, Hopf bifurcation with symmetry, and mode interactions. The opening chapter provides an introduction to these subjects and motivates the study of systems with symmetry. Detailed case studies illustrate how group-theoretic methods can be used to analyze specific problems arising in applications. Singularities and Groups in Bifurcation Theory: Volume 1 Golubitsky, Martin / Schaeffer, David G., Springer

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Singularities and Groups in Bifurcation Theory: Volume I - Martin Golubitsky
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Martin Golubitsky:
Singularities and Groups in Bifurcation Theory: Volume I - gebunden oder broschiert

ISBN: 9780387909998

ID: 9780387909998

Singularities and Groups in Bifurcation Theory: Volume I Singularities-and-Groups-in-Bifurcation-Theory~~Martin-Golubitsky Science/Tech>Mathematics>Mathematics Hardcover, Springer New York

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Singularities and Groups in Bifurcation Theory - Martin Golubitsky; David G. Schaeffer
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Singularities and Groups in Bifurcation Theory - neues Buch

ISBN: 9780387909998

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Mathematics; Analysis; Geometry; Applications of Mathematics Area, Bifurcations, Group theory, Groups, Volume Books Book, Springer Science+Business Media

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Singularities and Groups in Bifurcation Theory
Autor:

Golubitsky, Martin; Schaeffer, David G.

Titel:

Singularities and Groups in Bifurcation Theory

ISBN-Nummer:

9780387909998

Bifurcation theory studies how the structure of solutions to equations changes as parameters are varied. The nature of these changes depends both on the number of parameters and on the symmetries of the equations. Volume I discusses how singularity-theoretic techniques aid the understanding of transitions in multiparameter systems. This volume focuses on bifurcation problems with symmetry and shows how group-theoretic techniques aid the understanding of transitions in symmetric systems. Four broad topics are covered: group theory and steady-state bifurcation, equicariant singularity theory, Hopf bifurcation with symmetry, and mode interactions. The opening chapter provides an introduction to these subjects and motivates the study of systems with symmetry. Detailed case studies illustrate how group-theoretic methods can be used to analyze specific problems arising in applications.

Detailangaben zum Buch - Singularities and Groups in Bifurcation Theory


EAN (ISBN-13): 9780387909998
ISBN (ISBN-10): 0387909990
Gebundene Ausgabe
Erscheinungsjahr: 2007
Herausgeber: Springer-Verlag GmbH
488 Seiten
Gewicht: 0,888 kg
Sprache: eng/Englisch

Buch in der Datenbank seit 15.10.2007 22:04:04
Buch zuletzt gefunden am 20.02.2017 21:14:50
ISBN/EAN: 9780387909998

ISBN - alternative Schreibweisen:
0-387-90999-0, 978-0-387-90999-8

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