Linear Tools for Engineers

Electrical circuits, control loops, vibrating structures, and periodic signals all share the same mathematical basis: linear systems, seen in time and frequency. This book unites linear algebra, ordinary differential equations, and Fourier theory within a single framework for engineers. Rather than treating these topics separately, the text tells a single story driven by engineering questions. Is this equilibrium stable? Which frequencies pass through a system? Each concept appears exactly when it becomes necessary, starting from the equation y' = Ay + g in the opening pages. Designed for upper-level undergraduate and Master's students in engineering, the book closes the gap between foundational mathematics and real systems, equipping readers not only to carry out calculations but also to interpret their results.

Autorentext
Alexander Caspar is a Senior Scientist and Lecturer at the Department of Mathematics at ETH Zurich. His teaching focuses on bridging the gap between mathematical theory and practical applications. He developed the material in this book through his teaching in the joint Master's program in Mechatronics at ETH Zurich, Switzerland, and Ashesi University, Ghana, where his application-driven approach has shaped generations of students.

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