Differential Equations and Linear Algebra

by Stephen W. Goode

This very accessible guide offers a thorough introduction to the basics of differential equations and linear algebra. Expertly integrating the two topics, it explains concepts clearly and logically -without sacrificing level or rigor - and supports material with a vast array of problems of varying levels for readers to choose from. Promotes in-depth understanding (vs. rote memorization) - enabling readers to fully comprehend abstract concepts and finish with a solid and working knowledge of linear mathematics. Offers one of the most lucid and clearly written narratives on the subject, with material that is accessible to the average reader, yet challenging to all. Presents a greater emphasis on geometry to help users better visualize the abstract concepts, and illustrates all concepts with an ample amount of worked examples. Second Edition highlights include new discussions direction fields and Euler's method for first order differential equations; row space and column space of a matrix, and the rank-nullity theorem; non-linear systems of differential equations, including phase plane analysis; and change of variables for differential equations. Now features a chapter on second order linear differential equations that is not based on vector space methods to gives users a firmer grasp of the differential equation concept early on, and also on the solution techniques for this important class of differential equations.

Genres: Mathematics, Textbooks

Hardcover

First published August 19, 1999

Reviews

[RJ Pereira · Rating 5 out of 5]

Combines the two concepts in a natural way.

[Rebecca · Rating 4 out of 5]

great text, reads slow

[Christina · Rating 5 out of 5]

Splendid. Very clear. Excellent use of examples and well labeled of theorems. I would definitely recommend this text.