Jordan and Smith ( mathematics, Keele U.) emphasize applications and methods rather than proofs in this text of mathematical methods for students in undergraduate engineering and science courses. The third edition has been revised with a new preface, rewritten and expanded chapters, and improved layout. Brief modular chapters include more than 500 worked examples, making the book useful as a quick reference. Sections include differentiation, complex numbers, matrix algebra and vectors, integration and differential equations, transforms and Fourier series, multivariable calculus, discrete mathematics, and probability and statistics. Annotation (c) Book News, Inc., Portland, OR (booknews.com)
A pretty typical undergraduate mathematics textbook.
The subjects being treated are fairly traditional: - calculus and multivariate analysis - complex analysis - linear algebra - ordinary differential equations (linear and non-linear) - Laplace transforms, Fourier Series and Fourier transforms - difference equation and rudiments of chaos theory - basics of probability and descriptive statistics - there is some basic treatment of curvilinear coordinates, and of coordinate transformations, but there is no treatment of tensors (which is typically a fairly advanced subject anyway)
Supposedly designed for "the engineering, physical and mathematical sciences", in reality this book has been tailored quite significantly towards Electronic Engineering undergraduates. It has an applicative slant so it does not always provide the necessary rigour that would be required in more mathematically oriented courses.
On the positive side, it is very clear, succinct and lucid, and enriched with several examples and exercises, so it is quite a nice refresher. On the not so positive side, it is riddled with many, usually small but annoying typos - clearly the authors must have given the task of completing the examples to some of their students, with very mixed results: these students would deserve a C+ mark at best.