Differential Equations: A Dynamical Systems Approach
Ordinary Differential Equations
(Sprache: Englisch)
This corrected third printing retains the authors'main emphasis on ordinary differential equations. It is most appropriate for upper level undergraduate and graduate students in the fields of mathematics, engineering, and applied mathematics, as well as the...
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This corrected third printing retains the authors'main emphasis on ordinary differential equations. It is most appropriate for upper level undergraduate and graduate students in the fields of mathematics, engineering, and applied mathematics, as well as the life sciences, physics and economics. The authors have taken the view that a differential equations theory defines functions; the object of the theory is to understand the behaviour of these functions. The tools the authors use include qualitative and numerical methods besides the traditional analytic methods, and the companion software, MacMath, is designed to bring these notions to life.
Inhaltsverzeichnis zu „Differential Equations: A Dynamical Systems Approach “
Series Preface for Texts in Applied Mathematics Preface
Acknowledgments
Ways to Use This Book
Introduction
Chapter 1 Qualitative Methods
1.1 Fields of Slopes and Sketching of Solutions
1.2 Qualitative Description of Solutions
1.3 Fences
1.4 Funnels and Antifunnels
1.5 The Use of Fences, Funnels, and Antifunnels Exercises
Chapter 2 Analystic Methods
2.1 Separation of Variables
2.2 Linear Differential Equations of First Order
2.3 Variation of Parameters
2.4 Bank Accounts and Linear Differential Equations
Bibliographische Angaben
- Autoren: Beverly H. West , John H. Hubbard
- 1st ed. 1991. Corr. 3rd printing 1997, 376 Seiten, Maße: 16 x 24,1 cm, Gebunden, Englisch
- Verlag: Springer, New York
- ISBN-10: 0387972862
- ISBN-13: 9780387972862
- Erscheinungsdatum: 17.10.1997
Sprache:
Englisch
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.H. Hubbard and B.H. West
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