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Mathematical Foundations For Linear Circuits And Systems In Engineering
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Book Synopsis Mathematical Foundations for Linear Circuits and Systems in Engineering by : John J. Shynk
Download or read book Mathematical Foundations for Linear Circuits and Systems in Engineering written by John J. Shynk and published by John Wiley & Sons. This book was released on 2016-02-22 with total page 647 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Book Synopsis Mathematical Foundations for Linear Circuits and Systems in Engineering by : John J. Shynk
Download or read book Mathematical Foundations for Linear Circuits and Systems in Engineering written by John J. Shynk and published by John Wiley & Sons. This book was released on 2016-01-26 with total page 646 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Download or read book Linear Circuits written by Nobuo Nagai and published by CRC Press. This book was released on 2020-08-26 with total page 468 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book documents the significant progress in studies concerning linear circuits and systems, including their applications to digital filters, in Japan. It considers rational approximations in circuit and system theory and deals with the digital lattice filters used in digital signal processing.
Book Synopsis Linear System Theory by : Frank M. Callier
Download or read book Linear System Theory written by Frank M. Callier and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 524 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is the result of our teaching over the years an undergraduate course on Linear Optimal Systems to applied mathematicians and a first-year graduate course on Linear Systems to engineers. The contents of the book bear the strong influence of the great advances in the field and of its enormous literature. However, we made no attempt to have a complete coverage. Our motivation was to write a book on linear systems that covers finite dimensional linear systems, always keeping in mind the main purpose of engineering and applied science, which is to analyze, design, and improve the performance of phy sical systems. Hence we discuss the effect of small nonlinearities, and of perturbations of feedback. It is our on the data; we face robustness issues and discuss the properties hope that the book will be a useful reference for a first-year graduate student. We assume that a typical reader with an engineering background will have gone through the conventional undergraduate single-input single-output linear systems course; an elementary course in control is not indispensable but may be useful for motivation. For readers from a mathematical curriculum we require only familiarity with techniques of linear algebra and of ordinary differential equations.
Book Synopsis Engineering Problems by : William Macgregor Wallace
Download or read book Engineering Problems written by William Macgregor Wallace and published by . This book was released on 1914 with total page 202 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Classical Circuit Theory by : Omar Wing
Download or read book Classical Circuit Theory written by Omar Wing and published by Springer. This book was released on 2010-10-29 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: Classical circuit theory is a mathematical theory of linear, passive circuits, namely, circuits composed of resistors, capacitors and inductors. Like many a thing classical, it is old and enduring, structured and precise, simple and elegant. It is simple in that everything in it can be deduced from ?rst principles based on a few physical laws. It is enduring in that the things we can say about linear, passive circuits are universally true, unchanging. No matter how complex a circuit may be, as long as it consists of these three kinds of elements, its behavior must be as prescribed by the theory. The theory tells us what circuits can and cannot do. As expected of any good theory, classical circuit theory is also useful. Its ulti mate application is circuit design. The theory leads us to a design methodology that is systematic and precise. It is based on just two fundamental theorems: that the impedance function of a linear, passive circuit is a positive real function, and that the transfer function is a bounded real function, of a complex variable.
Book Synopsis Linear and Nonlinear Circuits: Basic & Advanced Concepts by : Mauro Parodi
Download or read book Linear and Nonlinear Circuits: Basic & Advanced Concepts written by Mauro Parodi and published by Springer. This book was released on 2017-07-03 with total page 281 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book provides readers with the necessary background information and advanced concepts in the field of circuits, at the crossroads between physics, mathematics and system theory. It covers various engineering subfields, such as electrical devices and circuits, and their electronic counterparts. Based on the idea that a modern university course should provide students with conceptual tools to understand the behavior of both linear and nonlinear circuits, to approach current problems posed by new, cutting-edge devices and to address future developments and challenges, the book places equal emphasis on linear and nonlinear, two‐terminal and multi‐terminal, as well as active and passive circuit components. The theory is developed systematically, starting with the simplest circuits (linear, time-invariant and resistive) and providing food for thought on nonlinear circuits, potential functions, linear algebra and geometrical interpretations of selected results. Contents are organized into a set of first‐level and a set of advanced‐level topics. The book is rich in examples and includes numerous solved problems. Further topics, such as signal processing and modeling of non-electric physical phenomena (e.g., hysteresis or biological oscillators) will be discussed in volume 2.
Book Synopsis Mathematical Foundations of System Safety Engineering by : Richard R. Zito
Download or read book Mathematical Foundations of System Safety Engineering written by Richard R. Zito and published by Springer Nature. This book was released on 2019-11-12 with total page 347 pages. Available in PDF, EPUB and Kindle. Book excerpt: This graduate-level textbook elucidates low-risk and fail-safe systems in mathematical detail. It addresses, in particular, problems where mission-critical performance is paramount, such as in aircraft, missiles, nuclear reactors and weapons, submarines, and many other types of systems where “failure” can result in overwhelming loss of life and property. The book is divided into four parts: Fundamentals, Electronics, Software, and Dangerous Goods. The first part on Fundamentals addresses general concepts of system safety engineering that are applicable to any type of system. The second part, Electronics, addresses the detection and correction of electronic hazards. In particular, the Bent Pin Problem, Sneak Circuit Problem, and related electrical problems are discussed with mathematical precision. The third part on Software addresses predicting software failure rates as well as detecting and correcting deep software logical flaws (called defects). The fourth part on Dangerous Goods presents solutions to three typical industrial chemical problems faced by the system safety engineer during the design, storage, and disposal phases of a dangerous goods’ life cycle.
Book Synopsis Linear Circuit Analysis by : Bernard James Ley
Download or read book Linear Circuit Analysis written by Bernard James Ley and published by . This book was released on 2013-04 with total page 580 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis The Mathematics of Circuit Analysis by : Ernst A. Guillemin
Download or read book The Mathematics of Circuit Analysis written by Ernst A. Guillemin and published by . This book was released on 1949 with total page 618 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Mathematics for Circuits and Filters by : Wai-Kai Chen
Download or read book Mathematics for Circuits and Filters written by Wai-Kai Chen and published by CRC Press. This book was released on 2022-09-16 with total page 274 pages. Available in PDF, EPUB and Kindle. Book excerpt: Every engineering professional needs a practical, convenient mathematics resource, without extensive theory and proofs. Mathematics for Circuits and Filters stresses the fundamental theory behind professional applications, making an excellent, flexible resource that enables easy access to the information needed to deal with circuits and filters. The sections feature frequent examples and illustrations, reinforcing the basic theory. The examples also demonstrate applications of the concepts. References at the end of each section are drawn from not only traditional sources, but from relevant, nontraditional ones as well, including software, databases, standards, seminars, and conferences. This leads advanced researchers quickly to the data they may need for more specialized problems. An international panel of experts developed the chapters for practicing engineers, concentrating on the problems that they encounter the most and have the most difficulty with. Mathematics for Circuits and Filters aids in the engineer's understanding and recall of vital mathematical concepts and acts as the engineer's primary resource when looking for solutions to a wide range of problems.
Book Synopsis Circuits, Matrices and Linear Vector Spaces by : Lawrence Paul Huelsman
Download or read book Circuits, Matrices and Linear Vector Spaces written by Lawrence Paul Huelsman and published by . This book was released on 2012-03-01 with total page 298 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Numerical Linear Algebra in Signals, Systems and Control by : Paul Van Dooren
Download or read book Numerical Linear Algebra in Signals, Systems and Control written by Paul Van Dooren and published by Springer. This book was released on 2011-06-02 with total page 480 pages. Available in PDF, EPUB and Kindle. Book excerpt: The purpose of Numerical Linear Algebra in Signals, Systems and Control is to present an interdisciplinary book, blending linear and numerical linear algebra with three major areas of electrical engineering: Signal and Image Processing, and Control Systems and Circuit Theory. Numerical Linear Algebra in Signals, Systems and Control will contain articles, both the state-of-the-art surveys and technical papers, on theory, computations, and applications addressing significant new developments in these areas. The goal of the volume is to provide authoritative and accessible accounts of the fast-paced developments in computational mathematics, scientific computing, and computational engineering methods, applications, and algorithms. The state-of-the-art surveys will benefit, in particular, beginning researchers, graduate students, and those contemplating to start a new direction of research in these areas. A more general goal is to foster effective communications and exchange of information between various scientific and engineering communities with mutual interests in concepts, computations, and workable, reliable practices.
Book Synopsis Analysis of Linear Circuits by : Clayton R. Paul
Download or read book Analysis of Linear Circuits written by Clayton R. Paul and published by . This book was released on 1989 with total page 792 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Bridging Circuits and Fields by : Alexander I. Petroianu
Download or read book Bridging Circuits and Fields written by Alexander I. Petroianu and published by CRC Press. This book was released on 2021-11-30 with total page 174 pages. Available in PDF, EPUB and Kindle. Book excerpt: Energy and power are fundamental concepts in electromagnetism and circuit theory, as well as in optics, signal processing, power engineering, electrical machines, and power electronics. However, in crossing the disciplinary borders, we encounter understanding difficulties due to (1) the many possible mathematical representations of the same physical objects, and (2) the many possible physical interpretations of the same mathematical entities. The monograph proposes a quantum and a relativistic approach to electromagnetic power theory that is based on recent advances in physics and mathematics. The book takes a fresh look at old debates related to the significance of the Poynting theorem and the interpretation of reactive power. Reformulated in the mathematical language of geometric algebra, the new expression of electromagnetic power reflects the laws of conservation of energy-momentum in fields and circuits. The monograph offers a mathematically consistent and a physically coherent interpretation of the power concept and of the mechanism of power transmission at the subatomic (mesoscopic) level. The monograph proves (paraphrasing Heaviside) that there is no finality in the development of a vibrant discipline: power theory.
Book Synopsis A Short History of Circuits and Systems by : Franco Maloberti
Download or read book A Short History of Circuits and Systems written by Franco Maloberti and published by CRC Press. This book was released on 2024-09-27 with total page 463 pages. Available in PDF, EPUB and Kindle. Book excerpt: After an overview of major scientific discoveries of the 18th and 19th centuries, which created electrical science as we know and understand it and led to its useful applications in energy conversion, transmission, manufacturing industry and communications, this Circuits and Systems History book fills a gap in published literature by providing a record of the many outstanding scientists, mathematicians and engineers who laid the foundations of Circuit Theory and Filter Design from the mid-20th Century. Additionally, the book records the history of the IEEE Circuits and Systems Society from its origins as the small Circuit Theory Group of the Institute of Radio Engineers (IRE), which merged with the American Institute of Electrical Engineers (AIEE) to form IEEE in 1963, to the large and broad-coverage worldwide IEEE Society which it is today. This second edition, commemorating the 75th anniversary of the Circuits and Systems Society, builds upon the first edition's success by expanding the scope of specific chapters, introducing new topics of relevance, and integrating feedback from readers and experts in the field, reflecting the evolving landscape of Circuits and Systems alongside the evolution of the professional society. Many authors from many countries contributed to the creation of this book, working to a very tight time schedule. The result is a substantial contribution to their enthusiasm and expertise, which it is hoped readers will find both interesting and useful. It is certain that in such a book, omission will be found, and in the space and time available, much valuable material had to be left out. It is hoped that this book will stimulate an interest in the marvelous heritage and contributions of the many outstanding people who worked in the Circuits and Systems area.
Book Synopsis University of Michigan Official Publication by :
Download or read book University of Michigan Official Publication written by and published by UM Libraries. This book was released on 1965 with total page 216 pages. Available in PDF, EPUB and Kindle. Book excerpt:
