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Mathematical Foundations for Linear Circuits and Systems in Engineering

ISBN: 1119073472

标签: 数学



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Mathematical Foundations for Linear Circuits and Systems in Engineering

1119073472      |      656 pages      |      2016-01-26      |      8.00 MB      |      pdf      |      English      |      by   John J. Shynk
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Extensive coverage of mathematical techniques used in engineering with an emphasis on applications in linear circuits and systemsMathematical 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 indepth 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 Wfunction 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 timeinvariant 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 endofchapter problems.Mathematical Foundations for Linear Circuits and Systems in Engineering is written for upper undergraduate and firstyear 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.


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