TY - BOOK AU - Edwards,C.Henry AU - Penney,David E. TI - Differential equations & linear algebra SN - 0139737510 U1 - 515.35 PY - 2001/// CY - Upper Saddle River, N.J. PB - Prentice Hall KW - Algebras, Linear KW - Differential equations N1 - Computing Projects. - Preface. - Ch. 1. First-order differential equations. - Ch. 2. Mathematical models and numerical methods. - Ch. 3. Linear systems and matrices. - Ch. 4. Vector spaces. - Ch. 5. Linear equations of higher order. - Ch. 6. Eigencalues and eigencectors. - Ch. 7. Linear systems of differential equations. - Ch. 8. Matrix exponential methods. - Ch. 9. Nonlinear systems and phenomena. - Ch. 10. Laplace transform methods. - Ch. 11. Power series methods. - References for further study. - Appendix A : Existance and uniqueness of solutions. - Appendix B. Theory of determinants. - Answers to selected problems. - Index; Accompanied by : Differential equations & linear algebra : computing projects [by] C. Henry Edwards, David E. Penney. ISBN 0130909343 N2 - ... [the authors have] combined core topics in elementary differential equations with those concepts and methods of elementary linear algebra that are needed for contemporary introduction to differential equations. The availability of technical computing environments like Maple, Mathmatica, and MATLAB is reshaping the current role and applications of differential equations in science and engineering, and has shaped [the authors'] approach in the text. New technology motivates a shift in emphasis from traditional manual methods to both qualitative and computer-based methods that render accessible a wider range of more realistic applications, permit the use of both numerical computation and graphical visualization to develop greater conceptual understanding, and encourage empirical investigations that involve deeper thought and analysis than standard textbook problems. - Preface ER -