Differential Equations: A Dynamical Systems Approach: Ordinary Differential Equations / Edition 1

Differential Equations: A Dynamical Systems Approach: Ordinary Differential Equations / Edition 1

by John H. Hubbard, Beverly H. West
     
 

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

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Overview

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.

Product Details

ISBN-13:
9780387972862
Publisher:
Springer New York
Publication date:
02/04/1991
Series:
Texts in Applied Mathematics Series, #5
Edition description:
1st ed. 1991. Corr. 3rd printing 1997
Pages:
395
Product dimensions:
9.21(w) x 6.14(h) x 0.94(d)

Table of Contents

Contents 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

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