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- catalog abstract "Based on a lecture course at the Ecole Polytechnique (Paris), this text gives a rigorous introduction to many of the key ideas in nonlinear analysis, dynamical systems and bifurcation theory including catastrophe theory. Wherever appropriate it emphasizes a geometrical or coordinate-free approach which allows a clear focus on the essential mathematical structures. Taking a unified view, it brings out features common to different branches of the subject while giving ample references for more advanced or technical developments.".
- catalog alternative "Géométrie-catastrophes et bifurcations. English".
- catalog contributor b11593110.
- catalog created "2000.".
- catalog date "2000".
- catalog date "2000.".
- catalog dateCopyrighted "2000.".
- catalog description "Based on a lecture course at the Ecole Polytechnique (Paris), this text gives a rigorous introduction to many of the key ideas in nonlinear analysis, dynamical systems and bifurcation theory including catastrophe theory. Wherever appropriate it emphasizes a geometrical or coordinate-free approach which allows a clear focus on the essential mathematical structures. Taking a unified view, it brings out features common to different branches of the subject while giving ample references for more advanced or technical developments.".
- catalog description "Includes bibliographical references and index.".
- catalog description "Introduction -- Notation -- Local Inversion -- Submanifolds -- Transversality Theorems -- Classification of Differentiable Functions -- Catastrophe Theory -- Vector Fields -- Linear Vector Fields -- Singular Points of Vector Fields -- Closed Orbits - Structural Stability -- Bifurcations of Phase Portraits -- References -- Index. The complete table of contents can be found on the Internet: http://www.springer.de.".
- catalog extent "viii, 301 p. :".
- catalog identifier "3540521186 (softcover : alk. paper)".
- catalog isPartOf "Universitext".
- catalog issued "2000".
- catalog issued "2000.".
- catalog language "eng fre".
- catalog language "eng".
- catalog publisher "New York : Springer,".
- catalog subject "515/.35 21".
- catalog subject "Bifurcation theory.".
- catalog subject "Catastrophes (Mathematics)".
- catalog subject "Differentiable dynamical systems.".
- catalog subject "Differentiable manifolds.".
- catalog subject "Global analysis (Mathematics)".
- catalog subject "Global differential geometry.".
- catalog subject "Mathematics.".
- catalog subject "QA380 .D46 2000".
- catalog tableOfContents "Introduction -- Notation -- Local Inversion -- Submanifolds -- Transversality Theorems -- Classification of Differentiable Functions -- Catastrophe Theory -- Vector Fields -- Linear Vector Fields -- Singular Points of Vector Fields -- Closed Orbits - Structural Stability -- Bifurcations of Phase Portraits -- References -- Index. The complete table of contents can be found on the Internet: http://www.springer.de.".
- catalog title "Bifurcations and catastrophes : geometry of solutions to nonlinear problems / Michel Demazure translated from the French by D.J.R. Chillingworth.".
- catalog title "Géométrie-catastrophes et bifurcations. English".
- catalog type "text".