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Cover: 9780387971414 | Dynamics and Bifurcations | Jack K. Hale (u. a.) | Buch | XIV | 1996
Bild: 9780387971414 | Dynamics and Bifurcations | Jack K. Hale (u. a.) | Buch | XIV | 1996
Cover: 9780387971414 | Dynamics and Bifurcations | Jack K. Hale (u. a.) | Buch | XIV | 1996
Bild: 9780387971414 | Dynamics and Bifurcations | Jack K. Hale (u. a.) | Buch | XIV | 1996
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Dynamics and Bifurcations
Buch von Jack K. Hale (u. a.)
Sprache: Englisch

74,95 €*

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Beschreibung
The subject of differential and difference equations is an old and much-honored chapter in science, one which germinated in applied fields such as celestial mechanics, nonlinear oscillations, and fluid dynamics. In recent years, due primarily to the proliferation of computers, dynamical systems has once more turned to its roots in applications with perhaps a more mature look. Many of the available books and expository narratives either require extensive mathematical preparation, or are not designed to be used as textbooks. The authors have filled this void with the present book.
The subject of differential and difference equations is an old and much-honored chapter in science, one which germinated in applied fields such as celestial mechanics, nonlinear oscillations, and fluid dynamics. In recent years, due primarily to the proliferation of computers, dynamical systems has once more turned to its roots in applications with perhaps a more mature look. Many of the available books and expository narratives either require extensive mathematical preparation, or are not designed to be used as textbooks. The authors have filled this void with the present book.
Zusammenfassung
The authors present the subject of dynamical systems so that it is accessible to undergraduate and beginning graduate students in mathematics or science and engineering. The fundamental ideas of dynamics and bifurcations are explained in a mathematically insightful setting, yet devoid of extensive formalism.
Inhaltsverzeichnis
I: Dimension One.- 1. Scalar Autonomous Equations.- 2. Elementary Bifurcations.- 3. Scalar Maps.- II: Dimension One and One Half.- 4. Scalar Nonautonomous Equations.- 5. Bifurcation of Periodic Equations.- 6. On Tori and Circles.- III: Dimension Two.- 7. Planar Autonomous Systems.- 8. Linear Systems.- 9. Near Equilibria.- 10. In the Presence of a Zero Eigenvalue.- 11. In the Presence of Purely Imaginary Eigenvalues.- 12. Periodic Orbits.- 13. All Planar Things Considered.- 14- Conservative and Gradient Systems.- 15. Planar Maps.- IV: Higher Dimensions.- 16. Dimension Two and One Half.- 17. Dimension Three.- 18. Dimension Four.- Farewell.- APPENDIX: A Catalogue of Fundamental Theorems.- References.
Details
Erscheinungsjahr: 1991
Fachbereich: Analysis
Genre: Mathematik
Rubrik: Naturwissenschaften & Technik
Medium: Buch
Seiten: 596
Reihe: Texts in Applied Mathematics
Inhalt: xiv
574 S.
ISBN-13: 9780387971414
ISBN-10: 0387971416
Sprache: Englisch
Ausstattung / Beilage: HC runder Rücken kaschiert
Einband: Gebunden
Autor: Hale, Jack K.
Kocak, Hüseyin
Illustrator: Buttanri, H.
Auflage: 1991
Hersteller: Springer US
Springer New York
Texts in Applied Mathematics
Maße: 241 x 160 x 38 mm
Von/Mit: Jack K. Hale (u. a.)
Erscheinungsdatum: 06.12.1991
Gewicht: 1,051 kg
preigu-id: 101266682
Zusammenfassung
The authors present the subject of dynamical systems so that it is accessible to undergraduate and beginning graduate students in mathematics or science and engineering. The fundamental ideas of dynamics and bifurcations are explained in a mathematically insightful setting, yet devoid of extensive formalism.
Inhaltsverzeichnis
I: Dimension One.- 1. Scalar Autonomous Equations.- 2. Elementary Bifurcations.- 3. Scalar Maps.- II: Dimension One and One Half.- 4. Scalar Nonautonomous Equations.- 5. Bifurcation of Periodic Equations.- 6. On Tori and Circles.- III: Dimension Two.- 7. Planar Autonomous Systems.- 8. Linear Systems.- 9. Near Equilibria.- 10. In the Presence of a Zero Eigenvalue.- 11. In the Presence of Purely Imaginary Eigenvalues.- 12. Periodic Orbits.- 13. All Planar Things Considered.- 14- Conservative and Gradient Systems.- 15. Planar Maps.- IV: Higher Dimensions.- 16. Dimension Two and One Half.- 17. Dimension Three.- 18. Dimension Four.- Farewell.- APPENDIX: A Catalogue of Fundamental Theorems.- References.
Details
Erscheinungsjahr: 1991
Fachbereich: Analysis
Genre: Mathematik
Rubrik: Naturwissenschaften & Technik
Medium: Buch
Seiten: 596
Reihe: Texts in Applied Mathematics
Inhalt: xiv
574 S.
ISBN-13: 9780387971414
ISBN-10: 0387971416
Sprache: Englisch
Ausstattung / Beilage: HC runder Rücken kaschiert
Einband: Gebunden
Autor: Hale, Jack K.
Kocak, Hüseyin
Illustrator: Buttanri, H.
Auflage: 1991
Hersteller: Springer US
Springer New York
Texts in Applied Mathematics
Maße: 241 x 160 x 38 mm
Von/Mit: Jack K. Hale (u. a.)
Erscheinungsdatum: 06.12.1991
Gewicht: 1,051 kg
preigu-id: 101266682
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