Differential Equations and Linear Algebra

C. Henry Edwards, David E. Penney

682 pages, parution le 01/07/2000

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Résumé

This tried-and-true book of differential equations expands upon the authors' Differential Equations: Computing and Modeling, 2nd Edition. It covers the core concepts and techniques of elementary linear algebra—matrices and linear systems, vector spaces, eigensystems, and matrix exponentials—that are needed for a careful introduction to linear equations. Complimenting this solid foundation, the book emphasizes mathematical modeling of real-world phenomena, and offers a fresh new computational flavor evident in figures, examples, problems, and projects throughout. Chapter topics include: first order differential equations, mathematical models and numerical methods, linear systems and matrices, vector spaces, linear equations of higher order, eigenvalues and eigenvectors, linear systems of differential equations, matrix exponential methods, and nonlinear systems and phenomena. A geometric visualization for those interested in science and engineering.

Contents

First-Order Differential Equations.
Mathematical Models and Numerical Methods.
Linear Systems and Matrices.
Vector Spaces.
Linear Equations of Higher Order.
Eigenvalues and Eigenvectors.
Linear Systems of Differential Equations.
Matrix Exponential Methods.
Nonlinear Systems and Phenomena.
Laplace Transform Methods.
Power Series Methods.

References for Further Study.
Appendix A: The Existence and Uniqueness of Solutions.
Appendix B: Theory of Determinants.
Answers to Selected Problems.
Index.

Caractéristiques techniques

	PAPIER
Éditeur(s)	Prentice Hall
Auteur(s)	C. Henry Edwards, David E. Penney
Parution	01/07/2000
Nb. de pages	682
Format	20,8 x 24,2
Couverture	Relié
Poids	1438g
Intérieur	2 couleurs
EAN13	9780139737510