Introduction to Qualitative Methods for Differential Equations

by Ronald E. Mickens

Overview

Introduction to Qualitative Methods for Differential Equations provides an alternative approach to teaching and understanding differential equations. The basic methodology of the book is centred on finding reformulations of differential equations in such a manner that they become (partially, at least) problems in geometry. Through this approach, the book distils the critical aspects of the qualitative theory of differential equations and illustrates their application to a number of nontrivial problems.

Features

• Self-contained with suggestions for further reading
• Concise and approachable exposition with only minimal pre-requisites
• Ideal for self-study
• Appropriate for undergraduate mathematicians, engineers, and other quantitative science students.

Product Details

ISBN-13:	9781032715988
Publisher:	CRC Press
Publication date:	04/30/2025
Pages:	288
Product dimensions:	6.12(w) x 9.19(h) x (d)

About the Author

Ronald E. Mickens is an Emeritus Professor at Clark Atlanta University, Atlanta, GA, and is a Fellow of several professional organizations, including the American Physical Society. He has written or edited seventeen books and published more than 350 peer-reviewed research articles.

Table of Contents

Preface Preliminaries Chapter 1 What is a Solution? Chapter 2  One-Dimensional Systems Chapter 3 Two-Dimensional Dynamical Systems Chapter 4 Sturm - Liouville Problems Chapter 5 Partial Differential Equations Chapter 6 Introduction to Bifurcations Chapter 7 Applications Appendix Bibliography