Ordinary differential equation

Author: W. Walter
Publisher:
Publish Date: 2003-06-01
Features: The author's book on GewShnliche Differentialgleichungen (Ordinary Differential Equations) was published in 1972. The present book is based on a translation of the latest, 6th, edition, which appeared in 1996, but it also treats some important subjects that are not found there. The German book is widely used as a textbook for a first course in ordinary differential equations. This is a rigorous course, and it contains some material that is more difficult than that usually found in a first course textbook; such as, for example, Peano's existence theorem. It is addressed to students of mathematics, physics, and computer science and is usually taken in the third semester. Let me remark here that in the German system the student learns calculus of one variable at the gymnasium 1 and begins at the university with a two-semester course on real analysis which is usually followed by ordinary differential equations.
This book is based on the book on Ordinary Differential Equations (German) published in 1996, and it mainly introduces the basic theory of ordinary differential equations. The content includes: integrable first-order differential equations, the existence and uniqueness of solutions to differential equations, initial and boundary value problems of differential equations, eigenvalue problems, stability and asymptotic stability theory. Reading this book requires a certain foundation in computational algebra, linear algebra, and functional analysis. It is suitable for undergraduate and graduate students in mathematics, pastoral majors, and computer science and related fields.