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Introduction to Qualitative Methods for Differential Equations is written by Ronald E. Mickens and published by CRC Press. It's available with International Standard Book Number or ISBN identification 1032715987 (ISBN 10) and 9781032715988 (ISBN 13).
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.