Ordinary Differential Equations

Presents basic theory of ordinary differential equations and relates the topological theory used in differential equations to advanced applications in chemistry and biology. This book provides motivations for studying extension theorems and existence theorems, supplies real-world examples, and gives an introduction to the use of geometric methods.

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This text, now in its second edition, presents the basic theory of ordinary differential equations and relates the topological theory used in differential equations to advanced applications in chemistry and biology. It provides new motivations for studying extension theorems and existence theorems, supplies real-world examples, gives an early introduction to the use of geometric methods and offers a novel treatment of the Sturm-Liouville theory.