Mathematical Foundations for Linear Circuits and Systems in Engineering by John J. Shynk download book DOC, FB2, TXT
9781119073475 English 1119073472 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., Extensive coverage of mathematical techniques used in engineering with an emphasis on applications in linear circuits and systems "Mathematical Foundations for Linear Circuits and Systems in Engineering "provides an integrated approach to learning the necessary mathematics specifically used to describe and analyze linear circuits and systems. The chapters develop and examine 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 complex variables, linear equations and matrices, various types of signals, solutions of differential equations, convolution, filter designs, and the widely used Laplace and Fourier transforms. The book also presents a discussion of some mechanical systems that mathematically exhibit the same dynamic properties as electrical circuits. Extensive summaries of important functions and their transforms, set theory, series expansions, various identities, and the Lambert W-function are provided in the appendices. The book has the following features: Compares linear circuits and mechanical systems that are modeled by similar ordinary differential equations, in order to provide an intuitive understanding of different types of linear time-invariant systems. Introduces the theory of generalized functions, which are defined by their behavior under an integral, and describes several properties including derivatives and their Laplace and Fourier transforms. Contains numerous tables and figures that summarize useful mathematical expressions and example results for specific circuits and systems, which reinforce the material and illustrate subtle points. Provides access to a companion website that includes a solutions manual with MATLAB code for the end-of-chapter problems. "Mathematical Foundations for Linear Circuits and Systems in Engineering "is written for upper undergraduate and first-year graduate 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. ""John J. Shynk, PhD, is Professor of Electrical and Computer Engineering at the University of California, Santa Barbara. He was a Member of Technical Staff at Bell Laboratories, and received degrees in systems engineering, electrical engineering, and statistics from Boston University and Stanford University., The book introduces and examines several mathematical models consisting of one or more equations that are used in engineering to represent various physical systems. This book provides an integrated approach to learning the necessary mathematical tools specifically used for linear circuits and systems. The techniques are presented in depth and with greater intuition so that the reader has a better understanding of how and why these methods work. Specific topics covered include complex numbers, linear algebra, ordinary differential equations, and integral transforms. Coverage also includes the intuition for the widely used integral transforms: Laplace and Fourier transforms. It 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.
9781119073475 English 1119073472 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., Extensive coverage of mathematical techniques used in engineering with an emphasis on applications in linear circuits and systems "Mathematical Foundations for Linear Circuits and Systems in Engineering "provides an integrated approach to learning the necessary mathematics specifically used to describe and analyze linear circuits and systems. The chapters develop and examine 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 complex variables, linear equations and matrices, various types of signals, solutions of differential equations, convolution, filter designs, and the widely used Laplace and Fourier transforms. The book also presents a discussion of some mechanical systems that mathematically exhibit the same dynamic properties as electrical circuits. Extensive summaries of important functions and their transforms, set theory, series expansions, various identities, and the Lambert W-function are provided in the appendices. The book has the following features: Compares linear circuits and mechanical systems that are modeled by similar ordinary differential equations, in order to provide an intuitive understanding of different types of linear time-invariant systems. Introduces the theory of generalized functions, which are defined by their behavior under an integral, and describes several properties including derivatives and their Laplace and Fourier transforms. Contains numerous tables and figures that summarize useful mathematical expressions and example results for specific circuits and systems, which reinforce the material and illustrate subtle points. Provides access to a companion website that includes a solutions manual with MATLAB code for the end-of-chapter problems. "Mathematical Foundations for Linear Circuits and Systems in Engineering "is written for upper undergraduate and first-year graduate 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. ""John J. Shynk, PhD, is Professor of Electrical and Computer Engineering at the University of California, Santa Barbara. He was a Member of Technical Staff at Bell Laboratories, and received degrees in systems engineering, electrical engineering, and statistics from Boston University and Stanford University., The book introduces and examines several mathematical models consisting of one or more equations that are used in engineering to represent various physical systems. This book provides an integrated approach to learning the necessary mathematical tools specifically used for linear circuits and systems. The techniques are presented in depth and with greater intuition so that the reader has a better understanding of how and why these methods work. Specific topics covered include complex numbers, linear algebra, ordinary differential equations, and integral transforms. Coverage also includes the intuition for the widely used integral transforms: Laplace and Fourier transforms. It 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.