# Differential Equations: A Dynamical Systems Approach

## Ordinary Differential Equations

• John H. Hubbard
• Beverly H. West
Book

Part of the Texts in Applied Mathematics book series (TAM, volume 5)

1. Front Matter
Pages i-xx
2. John H. Hubbard, Beverly H. West
Pages 1-9
3. John H. Hubbard, Beverly H. West
Pages 11-65
4. John H. Hubbard, Beverly H. West
Pages 67-109
5. John H. Hubbard, Beverly H. West
Pages 111-156
6. John H. Hubbard, Beverly H. West
Pages 157-196
7. John H. Hubbard, Beverly H. West
Pages 197-295
8. Back Matter
Pages 297-350

### Introduction

Mathematics is playing an ever more important role in the physical and biological sciences, provoking a blurring of boundaries between scientific disciplines and a resurgence of interest in the modern as well as the clas­ sical techniques of applied mathematics. This renewal of interest, both in research and teaching, has led to the establishment of the series: Texts in Applied Mathematics (TAM) . The development of new courses is a natural consequence of a high level of excitement on the research frontier as newer techniques, such as numerical and symbolic computer systems, dynamical systems, and chaos, mix with and reinforce the traditional methods of applied mathematics. Thus, the purpose of this textbook series is to meet the current and future needs of these advances and encourage the teaching of new courses. TAM will publish textbooks suitable for use in advanced undergraduate and beginning graduate courses, and will complement the Applied Mathe­ matical Sciences (AMS) series, which will focus on advanced textbooks and research level monographs. Preface Consider a first order differential equation of form x' = f ( t, x). In elemen­ tary courses one frequently gets the impression that such equations can usually be "solved," i. e. , that explicit formulas for the solutions (in terms of powers, exponentials, trigonometric functions, and the like) can usually be found. Nothing could be further from the truth.

### Keywords

differential equation dynamical systems numerical method ordinary differential equation

#### Authors and affiliations

• John H. Hubbard
• 1
• Beverly H. West
• 1
1. 1.Department of MathematicsCornell UniversityIthacaUSA

### Bibliographic information

• DOI https://doi.org/10.1007/978-1-4612-0937-9
• Copyright Information Springer-Verlag New York 1991
• Publisher Name Springer, New York, NY
• eBook Packages
• Print ISBN 978-1-4612-6952-6
• Online ISBN 978-1-4612-0937-9
• Series Print ISSN 0939-2475
• Series Online ISSN 2196-9949