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Differential equations :a dynamical systems approach

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Differential equations :a dynamical systems approach Cover

 

Synopses & Reviews

Publisher Comments:

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.

Book News Annotation:

Textbook for an advanced undergraduate course (e.g. in applicable mathematics) shows students the solutions to a differential equation and how they behave, by using computer graphics and numerical methods to produce pictures for qualitative study. A companion software package for the Macintosh called MacMath is referred to throughout, though other programs may be substituted.
Annotation c. Book News, Inc., Portland, OR (booknews.com)

Synopsis:

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.

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

Product Details

ISBN:
9780387972862
Author:
Hubbard, John H.
Publisher:
Springer
Author:
West, Beverly Henderson
Author:
West, Beverly H.
Location:
New York, NY
Subject:
Differential Equations
Subject:
Mathematical Analysis
Subject:
Differential equations, partial
Subject:
Analysis
Subject:
Mathematics-Differential Equations
Subject:
Mathematics
Subject:
Language, literature and biography
Subject:
mathematics and statistics
Subject:
Global analysis (Mathematics)
Copyright:
Edition Number:
3
Edition Description:
1st ed. 1991. Corr. 3rd printing
Series:
Texts in Applied Mathematics
Series Volume:
5
Publication Date:
19910204
Binding:
HARDCOVER
Language:
English
Illustrations:
Yes
Pages:
395
Dimensions:
235 x 155 mm 1550 gr

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Related Subjects


» Science and Mathematics » Mathematics » Analysis General
» Science and Mathematics » Mathematics » Differential Equations
» Science and Mathematics » Mathematics » General
» Science and Mathematics » Mathematics » Probability and Statistics » General
» Science and Mathematics » Mathematics » Probability and Statistics » Statistics

Differential equations :a dynamical systems approach New Hardcover
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$108.50 In Stock
Product details 395 pages Springer-Verlag,c1991- - English 9780387972862 Reviews:
"Synopsis" by , 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.
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