Advanced Engineering Mathematics with MATLAB: Sixth Edition

Advanced engineering mathematics is most useful when abstract methods connect to problems engineers and scientists actually face. In this sixth edition, Dean G. Duffy brings those methods together with MATLAB, using computation to reinforce the mathematical ideas rather than treating it as an afterthought.

The book ranges across differential equations, linear algebra, vector calculus, Fourier series and transforms, and Laplace transforms. Examples and applications from scientific and engineering literature give the mathematics a practical setting, while worked solutions at the back provide a way to check problem-solving progress.

Core methods for engineering and science

The early chapters build through first- and higher-order ordinary differential equations, then move into linear algebra and vector calculus. Later coverage includes Fourier series and the Fourier transform. Together, these topics offer readers a connected foundation in analytical techniques used across quantitative scientific and engineering work.

More examples where they matter

Duffy identifies differential equations, linear algebra, Fourier series, and Laplace transforms as areas receiving the greatest revision in this edition. The expanded emphasis on examples and problems gives readers more opportunities to work through methods, test their understanding, and see how mathematical tools apply beyond a single equation.

MATLAB alongside the mathematics

MATLAB remains central to the presentation. Its role is to reinforce concepts as readers study them, bringing computational exploration into a text grounded in mathematical reasoning. That combination is useful for students and practitioners who need both to understand a technique and to work with it in a computational setting.

A practical reference for demanding coursework

With its broad coverage and worked solutions, this edition is suited to engineering and science students engaging with advanced mathematics, as well as instructors and readers returning to these subjects. It offers a substantial treatment of essential methods without losing sight of how they are used.

For readers looking to strengthen their mathematical toolkit while keeping computation in view, Duffy’s sixth edition brings the two together in a single text.