Fundamentals of differential equations. 3. ed. (English) Zbl 0773.34003
Reading, MA: Addison Wesley. xxi, 645 p. (1993).
For a review of the first edition (1986) see Zbl 0604.34001. In this third edition, the following three new sections have been added to the text: \(\S 4.9.\) Undetermined coefficients using complex arithmetic; \(\S 7.1.\) Introduction; \(\S 9.7.\) Dynamical systems, Poincaré maps, strange attractors, and chaos. In addition, a variety of new problems and “group projects” (some requiring the use of computer algebra packages) have been included into the exerrcises.
Reviewer: W.Müller (Berlin)
MSC:
| 34-01 | Introductory exposition (textbooks, tutorial papers, etc.) pertaining to ordinary differential equations |
| 34A30 | Linear ordinary differential equations and systems |
| 44A10 | Laplace transform |
| 65L05 | Numerical methods for initial value problems involving ordinary differential equations |
| 34A12 | Initial value problems, existence, uniqueness, continuous dependence and continuation of solutions to ordinary differential equations |
| 34A45 | Theoretical approximation of solutions to ordinary differential equations |
| 65J99 | Numerical analysis in abstract spaces |
| 37-XX | Dynamical systems and ergodic theory |
