Ordinary Differential Equations
For the instructor or student confronting an introductory course in ordinary differential equations there is a need for a brief guide to the key concepts in the subject. Important topics like stability, resonance, existence of periodic solutions, and the essential role of continuation of solutions are often engulfed in a sea of exercises in integration, linear algebra theory, computer programming and an overdose of series expansions. This book is intended as that guide. It is more conceptual than definitive and more light-hearted than pedagogic. It covers key topics and theoretical underpinnings that are necessary for the study of rich topics like nonlinear equations or stability theory. The author has included a great many illuminating examples and discussions that uncover the conceptual heart of the matter.
- Covers key introductory topics
- Many illuminating examples and discussions
- Focus on concepts and qualitative reasoning
Reviews & endorsements
'It is a very well-written book that will be useful for a wide audience of students with minimal calculus-knowledge. It is warmly recommended to specialists in Analysis, ODE-s, physicists, engineers and lecturers of the subject.' Acta Scientiarum Mathematicarum
Product details
December 2002Paperback
9780883857236
142 pages
256 × 180 × 11 mm
0.268kg
50 b/w illus.
This item is not supplied by Cambridge University Press in your region. Please contact Mathematical Association of America for availability.
Table of Contents
- 1. Solutions
- 2. First order equations
- 3. Insight not numbers
- 4. Second order equations
- 5. Linear and nonlinear systems.