Synopsis
This text offers an introduction to the basics of differential equations and linear algebra with an integration of 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 from which students/instructors can choose.
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From the Publisher
An integrated introduction to linear algebra and differential equations.
From the Back Cover
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.
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Introduction to Differential Equations and Linear Algebra, An
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Pearson College Div (edition 1), 1991
ISBN 10: 0134856570
ISBN 13: 9780134856575
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