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This text contains a systems study of autonomous systems of ordinary differential equations and dynamical systems. The main purpose of the book is to introduce students to the qualitative and geometric theory of ordinary differential equations.
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This text contains a systems study of autonomous systems of ordinary differential equations and dynamical systems. The main purpose of the book is to introduce students to the qualitative and geometric theory of ordinary differential equations.
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This book contains all the material necessary for a clear understanding of the qualitative behavior of dynamical systems, including the proof of the Hartman-Grobman theorem, the Poincare map in the theory of limit cycles, and the theory of rotated vector fields. Updated throughout, this new edition includes material on higher order Melnikov theory and the bifurcation of limit cycles for planar systems of differential equations.
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Differential Equations and Dynamical Systems (Texts in Applied Mathematics, 7)
Anbieter: Antiquariat Jochen Mohr -Books and Mohr-, Oberthal, Deutschland
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paperback. Zustand: Sehr gut. 533 Seiten Mathematics is playing an ever more important role in the physical and biological sciences, provoking a blurring of boundaries between scientific disciplines and a resurgence bf interest in the modern as well as the clas sical techniques of applied mathematics. This renewal of interest, both in research and teaching, has led to the establishment of the series: Texts in Applied Mat!!ematics (TAM). The development of new courses is a natural consequence of a high level of excitement oil the research frontier as newer techniques, such as numerical and symbolic cotnputer systems, dynamical systems, and chaos, mix with and reinforce the traditional methods of applied mathematics. Thus, the purpose of this textbook series is to meet the current and future needs of these advances and encourage the teaching of new courses. TAM will publish textbooks suitable for use in advanced undergraduate and beginning graduate courses, and will complement the Applied Math ematical Sciences (AMS) series, which will focus on advanced textbooks and research level monographs. Preface to the Second Edition This book covers those topics necessary for a clear understanding of the qualitative theory of ordinary differential equations and the concept of a dynamical system. It is written for advanced undergraduates and for beginning graduate students. It begins with a study of linear systems of ordinary differential equations, a topic already familiar to the student who has completed a first course in differential equations. 9780387947785 Wir verkaufen nur, was wir auch selbst lesen würden. Sprache: Deutsch Gewicht in Gramm: 913 Auflage: 2nd ed. 1996. Corr. 2nd printing. Artikel-Nr. 88893
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