Differential Equations A Dynamical Systems Approach - Ordinary Differential Equations

ISBN-10: 0387972862

ISBN-13: 9780387972862

Edition: 3rd 1991 (Revised)

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Description: This is a corrected third printing of the first part of the text Differential Equations: A Dynamical Systems Approach written by John Hubbard and Beverly West. The authors' main emphasis in this book is on ordinary differential equations. The book 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. Traditional courses on differential equations focus on techniques leading to solutions. Yet most differential equations do not admit solutions which can be written in elementary terms. The authors have taken the view that a differential equations defines functions; the object of the theory is to understand the behavior of these functions. The tools the authors use include qualitative and numerical methods besides the traditional analytic methods. The companion software, MacMath, is designed to bring these notions to life.

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Book details

List price: $99.00
Edition: 3rd
Copyright year: 1991
Publisher: Springer
Publication date: 10/17/1997
Binding: Hardcover
Pages: 350
Size: 6.75" wide x 10.00" long x 1.00" tall
Weight: 1.584
Language: English

Series Preface for Texts in Applied Mathematics Preface Acknowledgments Ways to Use This Book Introduction
Qualitative Methods
Fields of Slopes and Sketching of Solutions
Qualitative Description of Solutions
Fences
Funnels and Antifunnels
The Use of Fences, Funnels, and Antifunnels Exercises
Analystic Methods
Separation of Variables
Linear Differential Equations of First Order
Variation of Parameters
Bank Accounts and Linear Differential Equations
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