Differential Equations and Linear Algebra - Hardcover

Goode, Stephen W.

Hardcover

ISBN 10: 013263757X ISBN 13: 9780132637572

Publisher: Prentice Hall, 1999

Synopsis

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.

About this title

From the Publisher:

An integrated introduction to linear algebra and differential equations.

About this edition

• Publisher: Prentice Hall
• Publication date: 1999
• ISBN 10: 013263757X
• ISBN 13: 9780132637572
• Binding: Hardcover
• Edition number: 2
• Number of pages: 703