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List Price: $100.00
Manufacturer: Oxford University PressOur Price: $90.00 You Save: $10.00 (10%) Availability: Usually ships in 24 hours Publisher: Oxford University Press Author(s): Matthew R. Boelkins, Jack L. Goldberg, Merle C. Potter
Product Description:
Binding: Hardcover
EAN: 9780195385861 Edition: 1 ISBN: 0195385861 Item Dimensions: Array Label: Oxford University Press Languages: Array Manufacturer: Oxford University Press Number Of Items: 1 Number Of Pages: 576 Publication Date: 20091105 Publisher: Oxford University Press Studio: Oxford University Press
Editorial Review:
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 systemsfirst approach, the book is appropriate for courses for majors in mathematics, science, and engineering that study systems of differential equations.
Because of its emphasis on linearity, the text opens with a full chapter devoted to essential ideas in linear algebra. Motivated by future problems in systems of differential equations, the chapter on linear algebra introduces such key ideas as systems of algebraic equations, linear combinations, the eigenvalue problem, and bases and dimension of vector spaces. This chapter enables students to quickly learn enough linear algebra to appreciate the structure of solutions to linear differential equations and systems thereof in subsequent study and to apply these ideas regularly. The book offers an exampledriven approach, beginning each chapter with one or two motivating problems that are applied in nature. The following chapter develops the mathematics necessary to solve these problems and explores related topics further. Even in more theoretical developments, we use an examplefirst style to build intuition and understanding before stating or proving general results. Over 100 figures provide visual demonstration of key ideas; the use of the computer algebra system Maple and Microsoft Excel are presented in detail throughout to provide further perspective and support students' use of technology in solving problems. Each chapter closes with several substantial projects for further study, many of which are based in applications. Errata sheet available at: www.oup.com/us/companion.websites/9780195385861/pdf/errata.pdf Related Items • Tutorials In Introductory Physics and Homework Package • Fundamentals of Materials Science and Engineering: An Integrated Approach • Statistical Methods for Engineers • Modern Physics, Second Edition: for Scientists and Engineers • Fundamentals of Applied Probability and Random Processes, Second Edition • Introduction to Physical Hydrology • Multivariable Calculus: Concepts and Contexts (Available 2010 Titles Enhanced Web Assign) • Electromagnetic Fields, 2nd Edition • Thomas' Calculus: Early Transcendentals, 12th Edition
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