Mathematical Foundations For Linear Circuits And Systems In Engineering

An introduction to mathematical techniques used in engineering with an emphasis on applications in linear circuits and systems

This book provides an integrated approach to learning the necessary mathematical tools specifically used for linear circuits and systems. The text introduces and examines several mathematical models consisting of one or more equations used in engineering to represent various physical systems. The techniques are discussed in depth so that the reader has a better understanding of how and why these methods work. Specific topics covered include matrices and complex numbers, signals, differential equations, and the widely used integral transforms: Laplace and Fourier transforms. The book also presents a discussion of mechanical systems that mathematically exhibit the same dynamic properties as electrical circuits. Extensive summaries are provided in the appendices, as well as in tables in each chapter.

Mathematical Foundations for Linear Circuits and Systems in Engineering:

• Discusses circuit elements and how various mathematical models are derived
• Presents coverage of circuits, matrices and complex numbers, signals, differential equations and transforms
• Includes extensive coverage of complex numbers, an overview of generalized functions, and detailed solutions of ordinary differential equations for first- and second-order systems
• Contains MATLAB code for end-of-chapter problems and a Solutions manual written in LaTeX

Mathematical Foundations for Linear Circuits and Systems in Engineering is written for upper undergraduate and postgraduate students in the fields of electrical and mechanical engineering. This book is also a reference for electrical, mechanical and computer engineers as well as applied mathematicians.