Differential equations with linear algebra / Matthew R. Boelkins, J.I. Goldberg, and Merle C. Potter.

Format:

Book

Author/Creator:

Boelkins, Matthew R.

Contributor:

Goldberg, Jack L. (Jack Leonard), 1932-

Potter, Merle C.

Language:

English

Subjects (All):

Differential equations, Linear.

Algebras, Linear.

Physical Description:

1 online resource (572 p.)

Edition:

1st ed.

Place of Publication:

New York : Oxford University Press, 2009.

Language Note:

English

Summary:

Linearity plays a critical role in the study of elementary differential equations; linear differential equations, especially systems thereof, demonstrate a fundamental application of linear algebra. In Differential Equations with Linear Algebra, we explore this interplay between linear algebra and differential equations and examine introductory and important ideas in each, usually through the lens of important problems that involve differential equations. Written at a sophomore level, the text is accessible to students who have completed multivariable calculus. With a systems-first approach, t

Contents:

Contents; Introduction; 1 Essentials of linear algebra; 2 First-order differential equations; 3 Linear systems of differential equations; 4 Higher order differential equations; 5 Laplace transforms; 6 Nonlinear systems of differential equations; 7 Numerical methods for differential equations; 8 Series solutions for differential equations; Appendix A: Review of integration techniques; Appendix B: Complex numbers; Appendix C: Roots of polynomials; Appendix D: Linear transformations; Appendix E: Solutions to selected exercises; Index

Notes:

Includes index.

ISBN:

0-19-973666-9

OCLC:

502284097