A practical math text! An engineer and a mathematician collaborated for a 'real world' text that is full of examples and exercises. The methods selected are those most frequently used in engineering and the 'hard' sciences. This book is structured to gradually increase in level of difficulty so that even those who are weak in math can master it. Try it, you'll like it! Ideal for an undergrad applied math or intro grad course. Among its features, this edition: -reviews ordinary differential equations, including a number of physical applications -introduces modern matrix theory with a separate chapter on applications -includes series methods, Laplace transforms, vector analysis, Fourier series, partial differential equations, numerical methods using finite differences, and complex variables -presents the material so that step-by-step derivations can be followed easily -contains many examples and problems to reinforce understanding of the mathematical methods presented