Mathematical concepts and theories underpin engineering and many of the physical sciences. Yet many engineering and science students find math challenging and even intimidating.
The fourth edition of Mathematical Techniques provides a complete course in mathematics, covering all the essential topics with which a physical sciences or engineering student should be familiar.
By breaking the subject into small, modular chapters, the book introduces and builds on concepts in a progressive, carefully-layered way - always with an emphasis on using math to the best effect, rather than relying on theoretical proofs.
With a huge array of end of chapter problems and new self-check questions, the fourth edition of Mathematical Techniques provides extensive opportunities for students to exercise and enhance their mathematical knowledge and skills.
Distinctive Features - Over 500 worked out examples offer the reader valuable guidance when tackling problems. - Self-check questions and over 2,000 end of chapter problems provide extensive opportunities for students to actively master the concepts presented. - A series of projects at the end of the book encourage students to use mathematical software to further their understanding. - An Online Resource Centre features additional resources for lecturers and students, including figures from the book in electronic format, ready to download; a downloadable solutions manual featuring worked solutions to all end of chapter problems (password protected); and mathematical-based programs relating to the projects featured at the end of the book .
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.