Introduction to Qualitative Methods for Differential Equations

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.

Inhaltsverzeichnis

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

Über den Autor / die Autorin

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.

Produktdetails

• Autoren: Ronald E. Mickens, Ronald E. (Clark Atlanta University Mickens, Mickens Ronald E.
• Verlag: Taylor & Francis Ltd.
• Sprache: Englisch
• Produktform: Fester Einband
• Erschienen: 01.05.2025
• EAN: 9781032715988
• ISBN: 978-1-0-3271598-8
• Seiten: 272
• Themen: Naturwissenschaften, Medizin, Informatik, Technik > Mathematik > Analysis; MATHEMATICS / Applied, MATHEMATICS / Differential Equations / General, MATHEMATICS / Mathematical Analysis, MATHEMATICS / Differential Equations / Partial, MATHEMATICS / Differential Equations / Ordinary, Differential calculus & equations, Applied mathematics, Differential calculus and equations