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Ordinary differential equations. Unabr., corr. republ. of the orig. publ. by Blaisdell Publ. Co. 1968. (English) Zbl 0743.34001

Classics in Applied Mathematics. 6. Philadelphia, PA: SIAM, Society for Industrial and Applied Mathematics. x, 220 p. (1991).
The book offers the possibility of “learning by doing” the main topics in both the theory and applications of ordinary differential equations. As the author himself writes in the Preface, “the material in this book is not a conventional treatment of ordinary differential equations. It does not contain the collection of proofs commonly displayed as the foundations of the subject, nor does it contain the collection of recipes commonly aimed at the scientist or engineer. Rather, in a way which requires little or no previous acquaintance with the subject, it contains a sequence of heuristic arguments, illustrative examples and exercises, which serve to lead the reader towards the invention, generalization, and usage of the techniques by which solutions of differential equations can be constructed. Above all, we hope, the reader can gain a perspective concerning the extent to which methods which lead in principle to the solution of a given problem actually lead to a useful description of that solution.”
A detailed description of the contents and the style of the present book may be found in the review of the first edition (1968; Zbl 0165.40601).

MSC:

34-01 Introductory exposition (textbooks, tutorial papers, etc.) pertaining to ordinary differential equations

Citations:

Zbl 0165.40601
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