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Differential Equations : A Dynamical Systems Approach : Ordinary Differential Equations :  A Dynamical Systems Approach : Ordinary Differential Equations - J.H. Hubbard

Differential Equations : A Dynamical Systems Approach : Ordinary Differential Equations

A Dynamical Systems Approach : Ordinary Differential Equations


Published: February 1991
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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.

.H. Hubbard and B.H. West

Differential Equations: A Dynamical Systems Approach

"As attention has moved from idealized linear differential equations to the nonlinear equations of the real world, there has been a concomitant change of emphasis, even a paradigm shift, from quantitative methods, analytical and numerical, to qualitative methods. Though qualitative methods originated with Poincare (Poincare) early in this century, the era of large-scale computation and computer graphics has spurred development through a profound confluence of theory and experiment. Hubbard and West demonstrate convincingly that it is feasible and necessary to incorporate this sophisticated viewpoint into the most elementary stages of differential equations pedagogy, even where the focus is still on linear equations. This is an unusual book in being both rigorous and squarely addressed to those students with the most practical needs. The well known exchange value between pictures and words is thoroughly exploited to ground fundamental concepts."-CHOICE

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
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
Table of Contents provided by Publisher. All Rights Reserved.

ISBN: 9780387972862
ISBN-10: 0387972862
Series: Texts in Applied Mathematics
Audience: Professional
Format: Hardcover
Language: English
Number Of Pages: 350
Published: February 1991
Publisher: Springer-Verlag New York Inc.
Country of Publication: US
Dimensions (cm): 23.4 x 15.6  x 2.54
Weight (kg): 0.7
Edition Number: 3