Mathematical Foundations For Linear Circuits And Systems In Engineering

Author : John J. Shynk
Publisher : John Wiley & Sons
Page : 656 pages
File Size : 48,5 Mb
Release : 2016-02-22
Category : Mathematics
ISBN : 9781119073406

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Mathematical Foundations for Linear Circuits and Systems in Engineering by John J. Shynk Pdf

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.

Author : John J. Shynk
Publisher : John Wiley & Sons
Page : 646 pages
File Size : 44,9 Mb
Release : 2016-01-26
Category : Mathematics
ISBN : 9781119073475

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Mathematical Foundations for Linear Circuits and Systems in Engineering by John J. Shynk Pdf

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.

Author : Wai-Kai Chen
Publisher : CRC Press
Page : 274 pages
File Size : 44,5 Mb
Release : 2022-09-16
Category : Technology & Engineering
ISBN : 9781351838351

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Mathematics for Circuits and Filters by Wai-Kai Chen Pdf

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.

Author : Paul J. Nahin
Publisher : Springer
Page : 189 pages
File Size : 49,5 Mb
Release : 2018-07-05
Category : Technology & Engineering
ISBN : 9783319775982

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Transients for Electrical Engineers by Paul J. Nahin Pdf

This book offers a concise introduction to the analysis of electrical transients aimed at students who have completed introductory circuits and freshman calculus courses. While it is written under the assumption that these students are encountering transient electrical circuits for the first time, the mathematical and physical theory is not ‘watered-down.’ That is, the analysis of both lumped and continuous (transmission line) parameter circuits is performed with the use of differential equations (both ordinary and partial) in the time domain, and the Laplace transform. The transform is fully developed in the book for readers who are not assumed to have seen it before. The use of singular time functions (unit step and impulse) is addressed and illustrated through detailed examples. The appearance of paradoxical circuit situations, often ignored in many textbooks (because they are, perhaps, considered ‘difficult’ to explain) is fully embraced as an opportunity to challenge students. In addition, historical commentary is included throughout the book, to combat the misconception that the material in engineering textbooks was found engraved on Biblical stones, rather than painstakingly discovered by people of genius who often went down many wrong paths before finding the right one. MATLAB® is used throughout the book, with simple codes to quickly and easily generate transient response curves.

Author : Richard R. Zito
Publisher : Springer Nature
Page : 347 pages
File Size : 44,9 Mb
Release : 2019-11-12
Category : Technology & Engineering
ISBN : 9783030262419

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Mathematical Foundations of System Safety Engineering by Richard R. Zito Pdf

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.

Author : Omar Wing
Publisher : Springer
Page : 0 pages
File Size : 52,8 Mb
Release : 2010-10-29
Category : Technology & Engineering
ISBN : 1441935282

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Classical Circuit Theory by Omar Wing Pdf

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.

Author : Tony Croft,Anthony Croft,Robert Davison,Martin Hargreaves
Publisher : Longman Group United Kingdom
Page : 844 pages
File Size : 55,5 Mb
Release : 1996-01-01
Category : Technology & Engineering
ISBN : 0201877449

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Engineering Mathematics by Tony Croft,Anthony Croft,Robert Davison,Martin Hargreaves Pdf

This edition of the text continues to present the how and why of engineering mathematics, providing a balance between techniques and conceptual understanding. The key approach of the work is to develop and illustrate mathematical concepts through examples. To try and show students the relevance of mathematics, a range of engineering concepts are used.

Author : Mauro Parodi,Marco Storace
Publisher : Springer
Page : 273 pages
File Size : 51,7 Mb
Release : 2017-07-03
Category : Technology & Engineering
ISBN : 9783319612348

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Linear and Nonlinear Circuits: Basic & Advanced Concepts by Mauro Parodi,Marco Storace Pdf

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.

Author : Franco Maloberti,Anthony C. Davies
Publisher : CRC Press
Page : 343 pages
File Size : 40,7 Mb
Release : 2022-09-01
Category : Technology & Engineering
ISBN : 9781000794359

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A Short History of Circuits and Systems by Franco Maloberti,Anthony C. Davies Pdf

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.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 that readers will find both interesting and useful. It is sure that in such a book omissions 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 marvellous heritage and contributions that have come from the many outstanding people who worked in the Circuits and Systems area.

Author : Anthony Croft,Tony Croft,Robert Davison,Martin Hargreaves
Publisher : Unknown
Page : 1010 pages
File Size : 52,5 Mb
Release : 2001
Category : Automatic control
ISBN : UCSD:31822031303407

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Engineering Mathematics by Anthony Croft,Tony Croft,Robert Davison,Martin Hargreaves Pdf

This text presents the "how" & "why" of engineering mathematics, carefully balancing techniques with conceptual understanding. The objective throughout is to give students the confidence & skills to solve both simple & complex engineering.

Author : Alexander I. Petroianu
Publisher : CRC Press
Page : 174 pages
File Size : 48,7 Mb
Release : 2021-11-30
Category : Mathematics
ISBN : 9781351779777

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Bridging Circuits and Fields by Alexander I. Petroianu Pdf

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.

Author : Bernard James Ley,Samuel G. Lutz,Charles F. Rehberg
Publisher : Unknown
Page : 580 pages
File Size : 41,8 Mb
Release : 2013-04
Category : Electronic
ISBN : 1258664399

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Linear Circuit Analysis by Bernard James Ley,Samuel G. Lutz,Charles F. Rehberg Pdf

Author : Richard Baraniuk
Publisher : Orange Grove Texts Plus
Page : 0 pages
File Size : 43,7 Mb
Release : 2009-09-24
Category : Electronic
ISBN : 1616100680

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Signals and Systems by Richard Baraniuk Pdf

This text deals with signals, systems, and transforms, from their theoretical mathematical foundations to practical implementation in circuits and computer algorithms. At its conclusion, learners will have a deep understanding of the mathematics and practical issues of signals in continuous and discrete time, linear time invariant systems, convolution, and Fourier transforms.

Author : Clayton R. Paul
Publisher : Unknown
Page : 792 pages
File Size : 52,7 Mb
Release : 1989
Category : Electric circuit analysis
ISBN : 0071002634

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Analysis of Linear Circuits by Clayton R. Paul Pdf

Author : Robert M. Stark,Robert L. Nicholls
Publisher : Courier Corporation
Page : 609 pages
File Size : 49,7 Mb
Release : 2005-01-05
Category : Mathematics
ISBN : 9780486438986

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Mathematical Foundations for Design by Robert M. Stark,Robert L. Nicholls Pdf

Text develops typical mathematical techniques of operations research and systems engineering and applies them to design and operation of civil engineering systems. Solutions to selected problems; solution guide available upon request. 1972 edition.