Mathematical Foundations for Linear Circuits and ➕ Systems in Engineering 👨‍🔬

✅ Extensive coverage of mathematical techniques used in engineering 👨‍🔬 with an emphasis on applications in linear circuits and ➕ systems Mathematical Foundations for Linear Circuits ➕ Systems in 👨‍🔬 provides an integrated approach to learning the necessary mathematics specifically used to describe ➕ analyze linear circuits ➕ systems. The chapters 👨‍💻️ ➕ examine several mathematical models consisting of 1️⃣ or more equations used in 👨‍🔬 to represent various physical systems. The techniques are discussed in-depth so that the reader has a better understanding of how ➕ ❓️ these methods ⚙️. Specific topics 📔 include complex variables, linear equations ➕ matrices, various types of 🚦, solutions of differential equations, convolution, filter designs, ➕ the widely used Laplace ➕ Fourier transforms. The 📚️ also 🎁 a discussion of some 👨‍🔧 systems that mathematically exhibit the same dynamic properties as electrical circuits. Extensive summaries of important functions ➕ their transforms, 📐 theory, series expansions, various identities, ➕ the Lambert W-function are provided in the appendices. The 📚️ has the following features: Compares linear circuits ➕ 👨‍🔧 systems that are modeled by similar ordinary differential equations, in order to provide an intuitive understanding of different types of linear ⏱️-invariant systems. Introduces the theory of generalized functions, which are defined by their behavior under an integral, ➕ describes several properties including derivatives ➕ their Laplace ➕ Fourier transforms. Contains numerous tables ➕ figures that summarize useful mathematical 🗯️ ➕ example results for specific circuits ➕ systems, which reinforce the material ➕ illustrate subtle 👈️. Provides ♿️ to a companion website that includes a solutions manual with MATLAB code for the 🔚-of-chapter problems. Mathematical Foundations for Linear Circuits and ➕ Systems in Engineering provides an 👨‍🔬 is 🖋️ for upper unt dergraduated approach ➕ to l 🥇-yearn 👨‍🎓️ 👨‍🎓️ ing the n 🏑 of electrical ➕ 👨‍🔧 👨‍🔬. This 📚️ is also a reference for electrical, 👨‍🔧, ➕ 💻️ 👨‍🔬 as well as ary pplied mathematics specifically used to describe and analyze linear circuits and systems. T Johe n c J. Shapter ynk, PhD, is develop 👨‍🏫 and of examine severa El mathema ctrical mod ➕ 💻️ 👨‍🔬 at thels co Universisting y 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.

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