Differential equations with linear algebra
"Differential Equations with Linear Algebra explores the interplay between linear algebra and differential equations by examining fundamental problems in elementary differential equations. With a systems-first approach, the text is accessible to students who have completed multivariable calculus and is appropriate for courses in mathematics, science, and engineering that study systems of differential equations." "Because of its emphasis on linearity, the text opens with an introduction to essential ideas in linear algebra. Motivated by future problems in systems of differential equations, the material on linear algebra introduces such key ideas as systems of algebraic equations, linear combinations, the eigenvalue problem, and bases and dimension of vector spaces. These key concepts maintain a consistent presence throughout the text and provide students with a basic knowledge of linear algebra for use in the study of differential equations." "This text offers an example-driven approach, beginning each chapter with one or two motivating problems that are applied in nature. The authors then develop the mathematics necessary to solve these problems and explore related topics further. Even in more theoretical developments, an example-first style is used to build intuition and understanding before stating or proving general results. Each chapter closes with several substantial projects for further study, many of which are based in applications. Extensive use of figures provides visual demonstration of key ideas while the use of the computer algebra system Maple and Microsoft Excel are presented in detail throughout to provide further perspective and enhance students' use of technology in solving problems."--Jacket
Tištěná kniha, English, 2009
Oxford University Press, Oxford, 2009