Overview
These world-renowned authors integrate linear algebra and ordinary differential equations in this unique book, interweaving instructions on how to use MATLAB with examples and theory. They use computers in two ways: in linear algebra, computers reduce the drudgery of calculations to help students focus on concepts and methods; in differential equations, computers display phase portraits graphically for students to focus on the qualitative information embodied in solutions, rather than just to learn to develop formulas for solutions.
Synopsis
These world-renowned authors integrate linear algebra and ordinary differential equations in this unique book, interweaving instructions on how to use MATLAB? with examples and theory. They use computers in two ways: in linear algebra, computers reduce the drudgery of calculations to help students focus on concepts and methods; in differential equations, computers display phase portraits graphically for students to focus on the qualitative information embodied in solutions, rather than just to learn to develop formulas for solutions.
Booknews
Provides an integrated approach to linear algebra and ordinary differential equations based on computers. Includes instructions on how to use MATLAB, theories and examples, and preloaded matrices and differential equations with notes. Topics covered include: solving linear equations; matrices and linearity; solving ordinary differential equations; vector spaces; qualitative theory of planar odes; orthogonality; bifurcation theory; matrix normal forms; higher dimensional systems; and numerical solutions of odes. Also included are MATLAB commands and answers to selected problems. Annotation c. by Book News, Inc., Portland, Or.
Editorials
From the Publisher
"The topic areas of linear algebra and differential equations lend themselves naturally to be developed in tandem, and I do not know of a text that does a better job of integrating the two areas so that each reinforce the understanding of the other.""[This text] provides a very interesting way of blending linear algebra and sophomore level differential equations course with the programming system MATLAB. . . . It . . . has the potential to be adopted by many institutions who are leaning towards the use of technology in the classroom. For one, I would use the book fore our linear algebra and differential equations course. . . ."
"The text is unique in offering a true amalgam of linear algebra, differential equations, and MATLAB. There is a definite need for such a text. The integration of the three 'legs' is well done and the ideas are introduced at a good pace."