Introduction to Qualitative Methods for Differential Equations

Ronald E. Mickens (Autor)

Buch | Softcover

272 Seiten

2027
Chapman & Hall/CRC (Verlag)
978-1-032-72758-5 (ISBN)

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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.

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.

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

Erscheint lt. Verlag	1.2.2027
Zusatzinfo	82 Line drawings, black and white; 82 Illustrations, black and white
Sprache	englisch
Maße	156 x 234 mm
Themenwelt	Mathematik / Informatik ► Mathematik ► Analysis
Themenwelt	Mathematik / Informatik ► Mathematik ► Angewandte Mathematik
ISBN-10	1-032-72758-6 / 1032727586
ISBN-13	978-1-032-72758-5 / 9781032727585
Zustand	Neuware