Synopses & Reviews
Ordinary Differential Equations introduces key concepts and techniques in the field and shows how they are used in current mathematical research and modelling. It deals specifically with initial value problems, which play a fundamental role in a wide range of scientific disciplines, including mathematics, physics, computer science, statistics and biology. This practical book is ideal for students and beginning researchers working in any of these fields who need to understand the area of ordinary differential equations in a short time.
Synopsis
A compact treatment that takes the reader from simple examples to current research involving ordinary differential equations.
Synopsis
This practical guide is ideal for students and beginning researchers working in one of the many scientific disciplines in which ordinary differential equations play a fundamental role. It introduces the key concepts and techniques, assuming only minimal mathematical prerequisites, so the reader can understand the subject in a short time.
About the Author
Bernd J. Schroers studied mathematics and physics at the University of Bonn and obtained his PhD from the Department of Applied Mathematics and Theoretical Physics (DAMTP) at the University of Cambridge. He worked as a research fellow at the universities of Durham, Amsterdam and Edinburgh before joining the Department of Mathematics at Heriot-Watt University in 2000. His research interests lie in mathematical physics and he has published numerous papers on topological solitons and aspects of quantum gravity. He has taught courses on differential equations both at Heriot-Watt University and the African Institute for Mathematical Sciences (AIMS) in South Africa for many years.
Table of Contents
Preface; 1. First order differential equations; 2. Systems and higher order equations; 3. Second order equations and oscillations; 4. Geometric methods; 5. Projects; Bibliography; Index.