Amann H. Ordinary Differential Equations: An Introduction to Nonlinear Analysis

Walter de Gruyter, 1990. — 471 p.A nicely produced textbook, translated (with corrections) from the German edition of 1983 and quite up-to-date in its non-linear spirit, suitable for use by moderately advanced undergraduate students of (applied) mathematics. Twenty-seven sections (each with exercises) distributed through six chapters. The author writes very clearly, if in a style slightly more abstract that some will find comfortable, and provides an exceptionally fine account of the qualitative aspects of his topic.