Introduction to Qualitative Methods for Differential Equations

Ronald E. Mickens (Clark Atlanta University, SW Atlanta, Georgia, USA)

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English

Chapman & Hall/CRC
01 May 2025

Differential calculus & equations; Applied mathematics

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.

By: Ronald E. Mickens (Clark Atlanta University SW Atlanta Georgia USA)
Imprint: Chapman & Hall/CRC
Country of Publication: United Kingdom
Dimensions: Height: 234mm, Width: 156mm,
Weight: 690g
ISBN: 9781032715988
ISBN 10: 1032715987
Pages: 272
Publication Date: 01 May 2025
Audience: College/higher education , Professional and scholarly , Primary , Undergraduate
Format: Hardback
Publisher's Status: Forthcoming

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

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.