Format:
XIV, 304 Seiten
,
Illustrationen
ISBN:
9783319021287
Series Statement:
Unitext 73
Content:
The book is a primer of the theory of ordinary differential equations. The presentation is simple, yet thorough and rigorous. Each chapter ends with a broad set of exercises that range from routine to the more challenging and thought provoking. Solutions to selected exercises can be found at the end of the book. The book contains many interesting examples on topics such as electric circuits, the pendulum equation, the logistic equation, the Lotka-Volterra system, the Laplace transform, etc, which introduce students to some interesting aspects of the theory and applications. The work is mainly intended for students of mathematics, physics, engineering, statistics, computer sciences and other areas of the sciences and social sciences that use ordinary differential equations, with knowledge of calculus and a minimal understanding of the basic concepts in linear algebra. Included are also a few more advanced topics, such as stability theory and boundary value problems, which may be suitable for more advanced undergraduate or first year graduate students. --
Note:
1. First order linear differential equations2. Theory of first order differential equations -- 3. First order nonlinear differential equations -- 4. Existence and uniqueness for systems and higher order equations -- 5. Second order equations -- 6. Higher order linear equations -- 7. Systems of first order equations -- 8. Qualitative analysis of 2 x 2 systems and nonlinear second order equations -- 9. Sturm Liouville eigenvalue theory -- 10. Solutions by infinite series and Bessel functions -- 11. Laplace transform -- 12. Stability theory -- 13. Boundary value problems -- Appendix.
Additional Edition:
ISBN 9783319021294
Additional Edition:
Erscheint auch als Online-Ausgabe Ahmad, Shair A Textbook on Ordinary Differential Equations Cham : Springer, 2014 ISBN 9783319021294
Language:
English
Subjects:
Mathematics
Keywords:
Gewöhnliche Differentialgleichung
;
Lehrbuch
Author information:
Ambrosetti, Antonio 1944-2020
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