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This text is a rigorous treatment of the basic qualitative theory of ordinary differential equations, at the beginning graduate level. Designed as a flexible one-semester course but offering enough material for two semesters, A Short Course covers core topics such as initial value problems, linear differential equations, Lyapunov stability, dynamical systems and the Poincaré―Bendixson theorem, and bifurcation theory, and second-order topics including oscillation theory, boundary value problems, and Sturm―Liouville problems. The presentation is clear and easy-to-understand, with figures and copious examples illustrating the meaning of and motivation behind definitions, hypotheses, and general theorems. A thoughtfully conceived selection of exercises together with answers and hints reinforce the reader's understanding of the material. Prerequisites are limited to advanced calculus and the elementary theory of differential equations and linear algebra, making the text suitable for seniorundergraduates as well.
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Über die Autorin bzw. den Autor
Qingkai Kong is a Professor and Director of Undergraduate Studies in the Department of Mathematical Sciences at Northern Illinois University. He holds a M.Sc and Ph.D from the University of Alberta. Dr. Kong is a recipient of the Huo Ying-Dong Teaching Award and has refereed for over 50 journals.
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This text is a rigorous treatment of the basic qualitative theory of ordinary differential equations, at the beginning graduate level. Designed as a flexible one-semester course but offering enough material for two semesters, A Short Course covers core topics such as initial value problems, linear differential equations, Lyapunov stability, dynamical systems and the Poincaré--Bendixson theorem, and bifurcation theory, and second-order topics including oscillation theory, boundary value problems, and Sturm--Liouville problems. The presentation is clear and easy-to-understand, with figures and copious examples illustrating the meaning of and motivation behind definitions, hypotheses, and general theorems. A thoughtfully conceived selection of exercises together with answers and hints reinforce the reader's understanding of the material. Prerequisites are limited to advanced calculus and the elementary theory of differential equations and linear algebra, making the text suitable for seniorundergraduates as well.
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A Short Course in Ordinary Differential Equations
Verlag:
Springer International Publishing, 2014
ISBN 10: 3319112384
ISBN 13: 9783319112381
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A Short Course in Ordinary Differential Equations
Verlag:
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ISBN 10: 3319112384
ISBN 13: 9783319112381
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Zustand: New. Dieser Artikel ist ein Print on Demand Artikel und wird nach Ihrer Bestellung fuer Sie gedruckt. Focuses on the theoretical aspect of ODEs without emphasis on lengthy technical applications of special equations from physics and engineeringUses carefully selected and organized material to cover all significant text with analytic, easily compre. Bestandsnummer des Verkäufers 4498977
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A Short Course in Ordinary Differential Equations
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A Short Course in Ordinary Differential Equations.
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A Short Course in Ordinary Differential Equations.
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A Short Course in Ordinary Differential Equations (Universitext)
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A Short Course in Ordinary Differential Equations
Verlag:
Springer International Publishing, 2014
ISBN 10: 3319112384
ISBN 13: 9783319112381
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Buch. Zustand: Neu. Druck auf Anfrage Neuware - Printed after ordering - This text is a rigorous treatment of the basic qualitative theory of ordinary differential equations, at the beginning graduate level. Designed as a flexible one-semester course but offering enough material for two semesters, A Short Course covers core topics such as initial value problems, linear differential equations, Lyapunov stability, dynamical systems and the Poincaré-Bendixson theorem, and bifurcation theory, and second-order topics including oscillation theory, boundary value problems, and Sturm-Liouville problems. The presentation is clear and easy-to-understand, with figures and copious examples illustrating the meaning of and motivation behind definitions, hypotheses, and general theorems. A thoughtfully conceived selection of exercises together with answers and hints reinforce the reader's understanding of the material. Prerequisites are limited to advanced calculus and the elementary theory of differential equations and linear algebra, making the text suitable for seniorundergraduates as well. Bestandsnummer des Verkäufers 9783319112381
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A Short Course in Ordinary Differential Equations
ISBN 10: 3319112384
ISBN 13: 9783319112381
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Buch. Zustand: Neu. Neuware -This text is a rigorous treatment of the basic qualitative theory of ordinary differential equations, at the beginning graduate level. Designed as a flexible one-semester course but offering enough material for two semesters, A Short Course covers core topics such as initial value problems, linear differential equations, Lyapunov stability, dynamical systems and the Poincaré¿Bendixson theorem, and bifurcation theory, and second-order topics including oscillation theory, boundary value problems, and Sturm¿Liouville problems. The presentation is clear and easy-to-understand, with figures and copious examples illustrating the meaning of and motivation behind definitions, hypotheses, and general theorems. A thoughtfully conceived selection of exercises together with answers and hints reinforce the reader's understanding of the material. Prerequisites are limited to advanced calculus and the elementary theory of differential equations and linear algebra, making the text suitable for seniorundergraduates as well.Springer Verlag GmbH, Tiergartenstr. 17, 69121 Heidelberg 280 pp. Englisch. Bestandsnummer des Verkäufers 9783319112381
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A Short Course in Ordinary Differential Equations
Verlag:
Springer International Publishing Nov 2014, 2014
ISBN 10: 3319112384
ISBN 13: 9783319112381
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Buch. Zustand: Neu. This item is printed on demand - it takes 3-4 days longer - Neuware -This text is a rigorous treatment of the basic qualitative theory of ordinary differential equations, at the beginning graduate level. Designed as a flexible one-semester course but offering enough material for two semesters, A Short Course covers core topics such as initial value problems, linear differential equations, Lyapunov stability, dynamical systems and the Poincaré-Bendixson theorem, and bifurcation theory, and second-order topics including oscillation theory, boundary value problems, and Sturm-Liouville problems. The presentation is clear and easy-to-understand, with figures and copious examples illustrating the meaning of and motivation behind definitions, hypotheses, and general theorems. A thoughtfully conceived selection of exercises together with answers and hints reinforce the reader's understanding of the material. Prerequisites are limited to advanced calculus and the elementary theory of differential equations and linear algebra, making the text suitable for senior undergraduates as well. 280 pp. Englisch. Bestandsnummer des Verkäufers 9783319112381
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