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Introduction to the Geometry of Foliations, Part A: Foliations on Compact Surfaces, Fundamentals for Arbitrary Codimension, and Holonomy: 1 (Aspects of Mathematics, 1) - Softcover
Synopsis
Foliation theory grew out of the theory of dynamical systems on manifolds and Ch. Ehresmann's connection theory on fibre bundles. Pioneer work was done between 1880 and 1940 by H. Poincare, I. Bendixson, H. Kneser, H. Whitney, and IV. Kaplan - to name a few - who all studied "regular curve families" on surfaces, and later by Ch. Ehresmann, G. Reeb, A. Haefliger and otners between 1940 and 1960. Since then the subject has developed from a collection of a few papers to a wide field of research. ~owadays, one usually distinguishes between two main branches of foliation theory, the so-called quantitative theory (including homotopy theory and cnaracteristic classes) on the one hand, and the qualitative or geometrie theory on the other. The present volume is the first part of a monograph on geometrie aspects of foliations. Our intention here is to present some fundamental concepts and results as weIl as a great number of ideas and examples of various types. The selection of material from only one branch of the theory is conditioned not only by the authors' personal interest but also by the wish to give a systematic and detailed treatment, including complete proofs of all main results. We hope that tilis goal has been achieved.
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- PublisherVieweg+Teubner Verlag
- Publication date1986
- ISBN 10 3528185015
- ISBN 13 9783528185015
- BindingPaperback
- LanguageEnglish
- Edition number2
- Number of pages247
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Introduction to the Geometry of Foliations, Part A : Foliations on Compact Surfaces, Fundamentals for Arbitrary Codimension, and Holonomy
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Taschenbuch. Condition: Neu. Druck auf Anfrage Neuware - Printed after ordering - Foliation theory grew out of the theory of dynamical systems on manifolds and Ch. Ehresmann's connection theory on fibre bundles. Pioneer work was done between 1880 and 1940 by H. Poincare, I. Bendixson, H. Kneser, H. Whitney, and IV. Kaplan - to name a few - who all studied 'regular curve families' on surfaces, and later by Ch. Ehresmann, G. Reeb, A. Haefliger and otners between 1940 and 1960. Since then the subject has developed from a collection of a few papers to a wide field of research. ~owadays, one usually distinguishes between two main branches of foliation theory, the so-called quantitative theory (including homotopy theory and cnaracteristic classes) on the one hand, and the qualitative or geometrie theory on the other. The present volume is the first part of a monograph on geometrie aspects of foliations. Our intention here is to present some fundamental concepts and results as weIl as a great number of ideas and examples of various types. The selection of material from only one branch of the theory is conditioned not only by the authors' personal interest but also by the wish to give a systematic and detailed treatment, including complete proofs of all main results. We hope that tilis goal has been achieved. Seller Inventory # 9783528185015
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Introduction to the Geometry of Foliations, Part A
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Introduction to the Geometry of Foliations, Part A
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ISBN 13: 9783528185015
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Introduction to the Geometry of Foliations, Part A: Foliations on Compact Surfaces, Fundamentals for Arbitrary Codimension, and Holonomy (Aspects of Mathematics)
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Introduction to the Geometry of Foliations, Part A
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ISBN 10: 3528185015
ISBN 13: 9783528185015
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Introduction to the Geometry of Foliations, Part A
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Taschenbuch. Condition: Neu. This item is printed on demand - Print on Demand Titel. Neuware -Foliation theory grew out of the theory of dynamical systems on manifolds and Ch. Ehresmann's connection theory on fibre bundles. Pioneer work was done between 1880 and 1940 by H. Poincare, I. Bendixson, H. Kneser, H. Whitney, and IV. Kaplan - to name a few - who all studied 'regular curve families' on surfaces, and later by Ch. Ehresmann, G. Reeb, A. Haefliger and otners between 1940 and 1960. Since then the subject has developed from a collection of a few papers to a wide field of research. ~owadays, one usually distinguishes between two main branches of foliation theory, the so-called quantitative theory (including homotopy theory and cnaracteristic classes) on the one hand, and the qualitative or geometrie theory on the other. The present volume is the first part of a monograph on geometrie aspects of foliations. Our intention here is to present some fundamental concepts and results as weIl as a great number of ideas and examples of various types. The selection of material from only one branch of the theory is conditioned not only by the authors' personal interest but also by the wish to give a systematic and detailed treatment, including complete proofs of all main results. We hope that tilis goal has been achieved.Springer Vieweg in Springer Science + Business Media, Abraham-Lincoln-Straße 46, 65189 Wiesbaden 252 pp. Englisch. Seller Inventory # 9783528185015
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Introduction to the Geometry of Foliations, Part A
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Introduction to the Geometry of Foliations, Part A : Foliations on Compact Surfaces, Fundamentals for Arbitrary Codimension, and Holonomy
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Introduction to the Geometry of Foliations, Part A: Foliations on Compact Surfaces, Fundamentals for Arbitrary Codimension, and Holonomy (Aspects of Mathematics) (Aspects of Mathematics (1), Band 1) Foliations on Compact Surfaces, Fundamentals for Arbitrary Codimension, and Holonomy
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Condition: Sehr gut. Auflage: 2nd ed. 1986. 252 Seiten 9783528185015 Wir verkaufen nur, was wir auch selbst lesen würden. Sprache: Deutsch Gewicht in Gramm: 356 17,0 x 1,4 x 24,4 cm, Taschenbuch. Seller Inventory # 39157
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Introduction to the Geometry of Foliations, Part A
Published by
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ISBN 10: 3528185015
ISBN 13: 9783528185015
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Taschenbuch
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Taschenbuch. Condition: Neu. This item is printed on demand - it takes 3-4 days longer - Neuware -Foliation theory grew out of the theory of dynamical systems on manifolds and Ch. Ehresmann's connection theory on fibre bundles. Pioneer work was done between 1880 and 1940 by H. Poincare, I. Bendixson, H. Kneser, H. Whitney, and IV. Kaplan - to name a few - who all studied 'regular curve families' on surfaces, and later by Ch. Ehresmann, G. Reeb, A. Haefliger and otners between 1940 and 1960. Since then the subject has developed from a collection of a few papers to a wide field of research. ~owadays, one usually distinguishes between two main branches of foliation theory, the so-called quantitative theory (including homotopy theory and cnaracteristic classes) on the one hand, and the qualitative or geometrie theory on the other. The present volume is the first part of a monograph on geometrie aspects of foliations. Our intention here is to present some fundamental concepts and results as weIl as a great number of ideas and examples of various types. The selection of material from only one branch of the theory is conditioned not only by the authors' personal interest but also by the wish to give a systematic and detailed treatment, including complete proofs of all main results. We hope that tilis goal has been achieved. 236 pp. Englisch. Seller Inventory # 9783528185015
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