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| electrical engineering imaginary numbers: Fundamentals of Electrical Engineering I Don Johnson, 2009-09-24 The text focuses on the creation, manipulation, transmission, and reception of information by electronic means. Contents: 1) Introduction. 2) Signals and Systems. 3) Analog Signal Processing. 4) Frequency Domain. 5) Digital Signal Processing. 6) Information Communication. 7) Appendices: Decibels; Permutations and Combinations, Frequency Allocations. |
| electrical engineering imaginary numbers: Introductory Mathematics for Engineering Applications Kuldip S. Rattan, Nathan W. Klingbeil, Craig M. Baudendistel, 2021-04-20 Introductory Mathematics for Engineering Applications, 2nd Edition, provides first-year engineering students with a practical, applications-based approach to the subject. This comprehensive textbook covers pre-calculus, trigonometry, calculus, and differential equations in the context of various discipline-specific engineering applications. The text offers numerous worked examples and problems representing a wide range of real-world uses, from determining hydrostatic pressure on a retaining wall to measuring current, voltage, and energy stored in an electrical capacitor. Rather than focusing on derivations and theory, clear and accessible chapters deliver the hands-on mathematical knowledge necessary to solve the engineering problems students will encounter in their careers. The textbook is designed for courses that complement traditional math prerequisites for introductory engineering courses — enabling students to advance in their engineering curriculum without first completing calculus requirements. Now available in enhanced ePub format, this fully updated second edition helps students apply mathematics to engineering scenarios involving physics, statics, dynamics, strength of materials, electric circuits, and more. |
| electrical engineering imaginary numbers: An Imaginary Tale Paul Nahin, 2010-02-22 Today complex numbers have such widespread practical use--from electrical engineering to aeronautics--that few people would expect the story behind their derivation to be filled with adventure and enigma. In An Imaginary Tale, Paul Nahin tells the 2000-year-old history of one of mathematics' most elusive numbers, the square root of minus one, also known as i. He recreates the baffling mathematical problems that conjured it up, and the colorful characters who tried to solve them. In 1878, when two brothers stole a mathematical papyrus from the ancient Egyptian burial site in the Valley of Kings, they led scholars to the earliest known occurrence of the square root of a negative number. The papyrus offered a specific numerical example of how to calculate the volume of a truncated square pyramid, which implied the need for i. In the first century, the mathematician-engineer Heron of Alexandria encountered I in a separate project, but fudged the arithmetic; medieval mathematicians stumbled upon the concept while grappling with the meaning of negative numbers, but dismissed their square roots as nonsense. By the time of Descartes, a theoretical use for these elusive square roots--now called imaginary numbers--was suspected, but efforts to solve them led to intense, bitter debates. The notorious i finally won acceptance and was put to use in complex analysis and theoretical physics in Napoleonic times. Addressing readers with both a general and scholarly interest in mathematics, Nahin weaves into this narrative entertaining historical facts and mathematical discussions, including the application of complex numbers and functions to important problems, such as Kepler's laws of planetary motion and ac electrical circuits. This book can be read as an engaging history, almost a biography, of one of the most evasive and pervasive numbers in all of mathematics. Some images inside the book are unavailable due to digital copyright restrictions. |
| electrical engineering imaginary numbers: Imaginary Numbers and Their Roles in Engineering and Physics R. Andrew Motes, 2015 Yes, imaginary numbers do exist, and they can be used in engineering and physics to easily solve a large variety of problems. In this book, the author demystifies these strange numbers and shows you how to use them, with many examples.-- |
| electrical engineering imaginary numbers: Electrical Engineering Allan R. Hambley, 2005 CD-ROMs contains: 2 CDs, one contains the Student Edition of LabView 7 Express, and the other contains OrCAD Lite 9.2. |
| electrical engineering imaginary numbers: Visual Complex Analysis Tristan Needham, 1997 This radical first course on complex analysis brings a beautiful and powerful subject to life by consistently using geometry (not calculation) as the means of explanation. Aimed at undergraduate students in mathematics, physics, and engineering, the book's intuitive explanations, lack of advanced prerequisites, and consciously user-friendly prose style will help students to master the subject more readily than was previously possible. The key to this is the book's use of new geometric arguments in place of the standard calculational ones. These geometric arguments are communicated with the aid of hundreds of diagrams of a standard seldom encountered in mathematical works. A new approach to a classical topic, this work will be of interest to students in mathematics, physics, and engineering, as well as to professionals in these fields. |
| electrical engineering imaginary numbers: Basic Electronics Math Clyde Herrick, 1996-06-15 Most students entering an electronics technician program have an understanding of mathematics. Basic Electronics Math provides is a practical application of these basics to electronic theory and circuits. The first half of Basic Electronics Math provides a refresher of mathematical concepts. These chapters can be taught separately from or in combination with the rest of the book, as needed by the students. The second half of Basic Electronics Math covers applications to electronics. Basic concepts of electronics math Numerous problems and examples Uses real-world applications |
| electrical engineering imaginary numbers: Calculus for Engineering Students Jesus Martin Vaquero, Michael Carr, Araceli Quieruga-Dios, Daniela Richtarikova, 2020-08-10 Calculus for Engineering Students: Fundamentals, Real Problems, and Computers insists that mathematics cannot be separated from chemistry, mechanics, electricity, electronics, automation, and other disciplines. It emphasizes interdisciplinary problems as a way to show the importance of calculus in engineering tasks and problems. While concentrating on actual problems instead of theory, the book uses Computer Algebra Systems (CAS) to help students incorporate lessons into their own studies. Assuming a working familiarity with calculus concepts, the book provides a hands-on opportunity for students to increase their calculus and mathematics skills while also learning about engineering applications. - Organized around project-based rather than traditional homework-based learning - Reviews basic mathematics and theory while also introducing applications - Employs uniform chapter sections that encourage the comparison and contrast of different areas of engineering |
| electrical engineering imaginary numbers: Fundamentals of Electrical Engineering Charles A. Gross, Thaddeus A. Roppel, 2012-02-15 Real-world engineering problems are rarely, if ever, neatly divided into mechanical, electrical, chemical, civil, and other categories. Engineers from all disciplines eventually encounter computer and electronic controls and instrumentation, which require at least a basic knowledge of electrical and other engineering specialties, as well as associated economics, and environmental, political, and social issues. Co-authored by Charles Gross—one of the most well-known and respected professors in the field of electric machines and power engineering—and his world-renowned colleague Thad Roppel, Fundamentals of Electrical Engineering provides an overview of the profession for engineering professionals and students whose specialization lies in areas other than electrical. For instance, civil engineers must contend with commercial electrical service and lighting design issues. Mechanical engineers have to deal with motors in HVAC applications, and chemical engineers are forced to handle problems involving process control. Simple and easy-to-use, yet more than sufficient in rigor and coverage of fundamental concepts, this resource teaches EE fundamentals but omits the typical analytical methods that hold little relevance for the audience. The authors provide many examples to illustrate concepts, as well as homework problems to help readers understand and apply presented material. In many cases, courses for non-electrical engineers, or non-EEs, have presented watered-down classical EE material, resulting in unpopular courses that students hate and senior faculty members understandingly avoid teaching. To remedy this situation—and create more well-rounded practitioners—the authors focus on the true EE needs of non-EEs, as determined through their own teaching experience, as well as significant input from non-EE faculty. The book provides several important contemporary interdisciplinary examples to support this approach. The result is a full-color modern narrative that bridges the various EE and non-EE curricula and serves as a truly relevant course that students and faculty can both enjoy. |
| electrical engineering imaginary numbers: AC Electrical Circuit Analysis Mehdi Rahmani-Andebili, 2021-01-04 This study guide is designed for students taking courses in electrical circuit analysis. The textbook includes examples, questions, and exercises that will help electrical engineering students to review and sharpen their knowledge of the subject and enhance their performance in the classroom. Offering detailed solutions, multiple methods for solving problems, and clear explanations of concepts, this hands-on guide will improve student’s problem-solving skills and basic understanding of the topics covered in electric circuit analysis courses. Exercises cover a wide selection of basic and advanced questions and problems Categorizes and orders the problems based on difficulty level, hence suitable for both knowledgeable and under-prepared students Provides detailed and instructor-recommended solutions and methods, along with clear explanations Can be used along with the core textbooks in AC circuit analysis and advanced electrical circuit analysis |
| electrical engineering imaginary numbers: Fundamental Concepts in Electrical and Computer Engineering with Practical Design Problems Reza Adhami, Peter M. Meenen, Peter Meenen, Denis Hite, 2007 In many cases, the beginning engineering student is thrown into upper-level engineering courses without an adequate introduction to the basic material. This, at best, causes undue stress on the student as they feel unprepared when faced with unfamiliar material, and at worst, results in students dropping out of the program or changing majors when they discover that their chosen field of engineering is not what they thought it was. The purpose of this text is to introduce the student to a general cross-section of the field of electrical and computer engineering. The text is aimed at incoming freshmen, and as such, assumes that the reader has a limited to nonexistent background in electrical engineering and knowledge of no more than pre-calculus in the field of mathematics. By exposing students to these fields at an introductory level, early in their studies, they will have both a better idea of what to expect in later classes and a good foundation of knowledge upon which to build. |
| electrical engineering imaginary numbers: Circuit Analysis for Power Engineering Handbook Arieh L. Shenkman, Moses Zarudi, 2012-12-06 The study of circuits is the foundation on which most other courses in the electrical engineering curriculum are based. For this reason the first course in circuit analysis must be appropriate to the succeeding specializations, which may be classified into two groups. One is a specialization in electro nics, microelectronics, communications, computers etc. , or so-called low current, low-voltage engineering. The other is in power electronics, power systems, energy conversion devices etc. , or so-called high-current, high voltage engineering. It is evident that although there are many common teaching topics in the basic course of circuit analysis, there are also certain differences. Unfortunately most of the textbooks in this field are written from the 'electronic engineer's viewpoint', i. e. with the emphasis on low current systems. This brought the author to the conclusion that there is a definite disad vantage in not having a more appropriate book for the specializations in high-current, high-voltage engineering. Thus the idea for this book came into being. The major feature distinguishing this book from others on circuit analysis is in delivering the material with a very strong connection to the specializations in the field of power systems, i. e. in high-current and high voltage engineering. The author believes that this emphasis gives the reader more opportunity for a better understanding and practice of the material which is relevant for power system network analysis, and to prepare students for their further specializations. |
| electrical engineering imaginary numbers: ABC of Electrical Engineering A. K. Theraja, 2012 |
| electrical engineering imaginary numbers: Concepts in Electric Circuits Wasif Naeem, 2009 |
| electrical engineering imaginary numbers: Introductory Electrical Engineering With Math Explained in Accessible Language Magno Urbano, 2019-10-23 Offers an understanding of the theoretical principles in electronic engineering, in clear and understandable terms Introductory Electrical Engineering With Math Explained in Accessible Language offers a text that explores the basic concepts and principles of electrical engineering. The author—a noted expert on the topic—explains the underlying mathematics involved in electrical engineering through the use of examples that help with an understanding of the theory. The text contains clear explanations of the mathematical theory that is needed to understand every topic presented, which will aid students in engineering courses who may lack the necessary basic math knowledge. Designed to breakdown complex math concepts into understandable terms, the book incorporates several math tricks and knowledge such as matrices determinant and multiplication. The author also explains how certain mathematical formulas are derived. In addition, the text includes tables of integrals and other tables to help, for example, find resistors’ and capacitors’ values. The author provides the accessible language, examples, and images that make the topic accessible and understandable. This important book: • Contains discussion of concepts that go from the basic to the complex, always using simplified language • Provides examples, diagrams, and illustrations that work to enhance explanations • Explains the mathematical knowledge that is crucial to understanding electrical concepts • Contains both solved exercises in-line with the explanations Written for students, electronic hobbyists and technicians, Introductory Electrical Engineering With Math Explained in Accessible Language is a much-needed text that is filled with the basics concepts of electrical engineering with the approachable math that aids in an understanding of the topic. |
| electrical engineering imaginary numbers: Dr. Euler's Fabulous Formula Paul J. Nahin, 2017-04-04 In the mid-eighteenth century, Swiss-born mathematician Leonhard Euler developed a formula so innovative and complex that it continues to inspire research, discussion, and even the occasional limerick. Dr. Euler's Fabulous Formula shares the fascinating story of this groundbreaking formula—long regarded as the gold standard for mathematical beauty—and shows why it still lies at the heart of complex number theory. In some ways a sequel to Nahin's An Imaginary Tale, this book examines the many applications of complex numbers alongside intriguing stories from the history of mathematics. Dr. Euler's Fabulous Formula is accessible to any reader familiar with calculus and differential equations, and promises to inspire mathematicians for years to come. |
| electrical engineering imaginary numbers: Mathematics for Electrical Engineering and Computing Mary P Attenborough, 2003-06-30 Mathematics for Electrical Engineering and Computing embraces many applications of modern mathematics, such as Boolean Algebra and Sets and Functions, and also teaches both discrete and continuous systems - particularly vital for Digital Signal Processing (DSP). In addition, as most modern engineers are required to study software, material suitable for Software Engineering - set theory, predicate and prepositional calculus, language and graph theory - is fully integrated into the book.Excessive technical detail and language are avoided, recognising that the real requirement for practising engineers is the need to understand the applications of mathematics in everyday engineering contexts. Emphasis is given to an appreciation of the fundamental concepts behind the mathematics, for problem solving and undertaking critical analysis of results, whether using a calculator or a computer.The text is backed up by numerous exercises and worked examples throughout, firmly rooted in engineering practice, ensuring that all mathematical theory introduced is directly relevant to real-world engineering. The book includes introductions to advanced topics such as Fourier analysis, vector calculus and random processes, also making this a suitable introductory text for second year undergraduates of electrical, electronic and computer engineering, undertaking engineering mathematics courses.Dr Attenborough is a former Senior Lecturer in the School of Electrical, Electronic and Information Engineering at South Bank University. She is currently Technical Director of The Webbery - Internet development company, Co. Donegal, Ireland. - Fundamental principles of mathematics introduced and applied in engineering practice, reinforced through over 300 examples directly relevant to real-world engineering |
| electrical engineering imaginary numbers: Programming for Electrical Engineers James C. Squire, Julie Phillips Brown, 2020-07-08 Programming for Electrical Engineers: MATLAB and Spice introduces beginning engineering students to programming in Matlab and Spice through engaged, problem-based learning and dedicated electrical and computer engineering content. The book draws its problems and examples specifically from electrical and computer engineering, covering such topics as circuit analysis, signal processing, and filter design. It teaches relevant computational techniques in the context of solving common problems in electrical and computer engineering, including mesh and nodal analysis, Fourier transforms, and phasor analysis. Programming for Electrical Engineers: MATLAB and Spice is unique among MATLAB textbooks for its dual focus on introductory-level learning and discipline-specific content in electrical and computer engineering. No other textbook on the market currently targets this audience with the same attention to discipline-specific content and engaged learning practices. Although it is primarily an introduction to programming in MATLAB, the book also has a chapter on circuit simulation using Spice, and it includes materials required by ABET Accreditation reviews, such as information on ethics, professional development, and lifelong learning. - Discipline-specific: Introduces Electrical and Computer Engineering-specific topics, such as phasor analysis and complex exponentials, that are not covered in generic engineering Matlab texts - Accessible: Pedagogically appropriate for freshmen and sophomores with little or no prior programming experience - Scaffolded content: Addresses both script and functions but emphasizes the use of functions since scripts with non-scoped variables are less-commonly encountered after introductory courses - Problem-centric: Introduces MATLAB commands as needed to solve progressively more complex EE/ECE-specific problems, and includes over 100 embedded, in-chapter questions to check comprehension in stages and support active learning exercises in the classroom - Enrichment callouts: Pro Tip callouts cover common ABET topics, such as ethics and professional development, and Digging Deeper callouts provide optional, more detailed material for interested students |
| electrical engineering imaginary numbers: The DFT William L. Briggs, Van Emden Henson, 1995-01-01 This book explores both the practical and theoretical aspects of the Discrete Fourier Transform, one of the most widely used tools in science, engineering, and computational mathematics. Designed to be accessible to an audience with diverse interests and mathematical backgrounds, the book is written in an informal style and is supported by many examples, figures, and problems. Conceived as an owner's manual, this comprehensive book covers such topics as the history of the DFT, derivations and properties of the DFT, comprehensive error analysis, issues concerning the implementation of the DFT in one and several dimensions, symmetric DFTs, a sample of DFT applications, and an overview of the FFT. |
| electrical engineering imaginary numbers: A First Course in Electrical and Computer Engineering Louis L. Scharf, Richard T. Behrens, 1990 |
| electrical engineering imaginary numbers: Electronics and Circuit Analysis Using MATLAB John Okyere Attia, 2018-10-08 The use of MATLAB is ubiquitous in the scientific and engineering communities today, and justifiably so. Simple programming, rich graphic facilities, built-in functions, and extensive toolboxes offer users the power and flexibility they need to solve the complex analytical problems inherent in modern technologies. The ability to use MATLAB effectively has become practically a prerequisite to success for engineering professionals. Like its best-selling predecessor, Electronics and Circuit Analysis Using MATLAB, Second Edition helps build that proficiency. It provides an easy, practical introduction to MATLAB and clearly demonstrates its use in solving a wide range of electronics and circuit analysis problems. This edition reflects recent MATLAB enhancements, includes new material, and provides even more examples and exercises. New in the Second Edition: Thorough revisions to the first three chapters that incorporate additional MATLAB functions and bring the material up to date with recent changes to MATLAB A new chapter on electronic data analysis Many more exercises and solved examples New sections added to the chapters on two-port networks, Fourier analysis, and semiconductor physics MATLAB m-files available for download Whether you are a student or professional engineer or technician, Electronics and Circuit Analysis Using MATLAB, Second Edition will serve you well. It offers not only an outstanding introduction to MATLAB, but also forms a guide to using MATLAB for your specific purposes: to explore the characteristics of semiconductor devices and to design and analyze electrical and electronic circuits and systems. |
| electrical engineering imaginary numbers: New Foundations for Classical Mechanics D. Hestenes, 2005-12-17 (revised) This is a textbook on classical mechanics at the intermediate level, but its main purpose is to serve as an introduction to a new mathematical language for physics called geometric algebra. Mechanics is most commonly formulated today in terms of the vector algebra developed by the American physicist J. Willard Gibbs, but for some applications of mechanics the algebra of complex numbers is more efficient than vector algebra, while in other applications matrix algebra works better. Geometric algebra integrates all these algebraic systems into a coherent mathematical language which not only retains the advantages of each special algebra but possesses powerful new capabilities. This book covers the fairly standard material for a course on the mechanics of particles and rigid bodies. However, it will be seen that geometric algebra brings new insights into the treatment of nearly every topic and produces simplifications that move the subject quickly to advanced levels. That has made it possible in this book to carry the treatment of two major topics in mechanics well beyond the level of other textbooks. A few words are in order about the unique treatment of these two topics, namely, rotational dynamics and celestial mechanics. |
| electrical engineering imaginary numbers: Electric Power Systems Alexandra von Meier, 2006-06-30 A clear explanation of the technology for producing and delivering electricity Electric Power Systems explains and illustrates how the electric grid works in a clear, straightforward style that makes highly technical material accessible. It begins with a thorough discussion of the underlying physical concepts of electricity, circuits, and complex power that serves as a foundation for more advanced material. Readers are then introduced to the main components of electric power systems, including generators, motors and other appliances, and transmission and distribution equipment such as power lines, transformers, and circuit breakers. The author explains how a whole power system is managed and coordinated, analyzed mathematically, and kept stable and reliable. Recognizing the economic and environmental implications of electric energy production and public concern over disruptions of service, this book exposes the challenges of producing and delivering electricity to help inform public policy decisions. Its discussions of complex concepts such as reactive power balance, load flow, and stability analysis, for example, offer deep insight into the complexity of electric grid operation and demonstrate how and why physics constrains economics and politics. Although this survival guide includes mathematical equations and formulas, it discusses their meaning in plain English and does not assume any prior familiarity with particular notations or technical jargon. Additional features include: * A glossary of symbols, units, abbreviations, and acronyms * Illustrations that help readers visualize processes and better understand complex concepts * Detailed analysis of a case study, including a Web reference to the case, enabling readers to test the consequences of manipulating various parameters With its clear discussion of how electric grids work, Electric Power Systems is appropriate for a broad readership of professionals, undergraduate and graduate students, government agency managers, environmental advocates, and consumers. |
| electrical engineering imaginary numbers: Exploring Engineering Philip Kosky, Robert T. Balmer, William D. Keat, George Wise, 2009-11-11 Winner in its first edition of the Best New Undergraduate Textbook by the Professional and Scholarly Publishing Division of the American Association of Publishers (AAP), Kosky, et al is the first text offering an introduction to the major engineering fields, and the engineering design process, with an interdisciplinary case study approach. It introduces the fundamental physical, chemical and material bases for all engineering work and presents the engineering design process using examples and hands-on projects. Organized in two parts to cover both the concepts and practice of engineering: Part I, Minds On, introduces the fundamental physical, chemical and material bases for all engineering work while Part II, Hands On, provides opportunity to do design projects An Engineering Ethics Decision Matrix is introduced in Chapter 1 and used throughout the book to pose ethical challenges and explore ethical decision-making in an engineering context Lists of Top Engineering Achievements and Top Engineering Challenges help put the material in context and show engineering as a vibrant discipline involved in solving societal problems New to this edition: Additional discussions on what engineers do, and the distinctions between engineers, technicians, and managers (Chapter 1) New coverage of Renewable Energy and Environmental Engineering helps emphasize the emerging interest in Sustainable Engineering New discussions of Six Sigma in the Design section, and expanded material on writing technical reports Re-organized and updated chapters in Part I to more closely align with specific engineering disciplines new end of chapter excercises throughout the book |
| electrical engineering imaginary numbers: The Logician and the Engineer Paul Nahin, 2017-04-04 Third printing. First paperback printing. Original copyright date: 2013. |
| electrical engineering imaginary numbers: Principles of Electrical Engineering and Electronics Mehta V.K. & Mehta Rohit, 2006 The General Response to the first edition of the book was very encouraging.The authors feel that their work has been amply rewarded and wish to express their deep sense of gratitude,in common to the large number of readers who have usedit,and in particular to those them who have sent helpful suggestions from time to time for the improvement of the book.To Ehance the utility of the book,it has been decided to bring out the multicolor edition of book.There are three salient features multicolor edition. |
| electrical engineering imaginary numbers: Electric Circuits Basics Prasun Barua, Welcome to Electric Circuits Basics! This is a nonfiction science book which contains various topics on basics of electric circuits. Electric circuits are closed-loop or route networks of electrical components through which electrons can flow. Electrical wires are used as a path to flow electrons. It is powered by an external power sources. These are AC and DC power sources. The point where electrons begin to flow is referred to as the source, while the point where electrons depart the electric circuit is referred to as the return. This book contains various topics like Theory Of DC Circuit, Ohms Law And Power, Electrical Units Of Measure, Kirchhoff’s Circuit Law, Mesh Current Analysis, Nodal Voltage Analysis, Thevenin’s Theorem, Norton’s Theorem, Maximum Power Transfer, Star Delta Transformation, Voltage Sources, Current Sources, Kirchhoff’s Current Law, Kirchhoff’s Voltage Law, Voltage Dividers, Current Dividers, Electrical Energy And Power, Theory Of AC Waveform And AC Circuit, Sinusoidal Waveforms, Phase Difference And Phase Shift, Phasor Diagrams And Phasor Algebra, Complex Numbers And Phasors, AC Resistance And Impedance, AC Inductance And Inductive Reactance, AC Capacitance And Capacitive Reactance, Analysis Of Series RLC Circuit, Analysis Of Parallel RLC Circuit, Series Resonance Circuit, Parallel Resonance Circuit, RMS Voltage, Average Voltage, Reactive Power, Harmonics, Passive Components In AC Circuits, Power In AC Circuits, Power Triangle And Power Factor, Power Factor Correction and Impedance And Complex Impedance. This is the first edition of the book. Thanks for reading the book. |
| electrical engineering imaginary numbers: Selected Papers II, with Commentaries Chen Ning Yang, 2013 This book is a collection of Professor Chen Ning Yang's personally selected papers (1971-2012) supplemented by his commentaries. Its contents reflect the professor's changing interests after he reached age sixty. |
| electrical engineering imaginary numbers: Electrical Engineering Ralf Kories, Heinz Schmidt-Walter, 2011-06-28 This is a superb source of quickly accessible information on the whole area of electrical engineering and electronics. It serves as a concise and quick reference, with self-contained chapters comprising all important expressions, formulas, rules and theorems, as well as many examples and applications. |
| electrical engineering imaginary numbers: Number-Crunching Paul Nahin, 2011-08-08 More stimulating mathematics puzzles from bestselling author Paul Nahin How do technicians repair broken communications cables at the bottom of the ocean without actually seeing them? What's the likelihood of plucking a needle out of a haystack the size of the Earth? And is it possible to use computers to create a universal library of everything ever written or every photo ever taken? These are just some of the intriguing questions that best-selling popular math writer Paul Nahin tackles in Number-Crunching. Through brilliant math ideas and entertaining stories, Nahin demonstrates how odd and unusual math problems can be solved by bringing together basic physics ideas and today's powerful computers. Some of the outcomes discussed are so counterintuitive they will leave readers astonished. Nahin looks at how the art of number-crunching has changed since the advent of computers, and how high-speed technology helps to solve fascinating conundrums such as the three-body, Monte Carlo, leapfrog, and gambler's ruin problems. Along the way, Nahin traverses topics that include algebra, trigonometry, geometry, calculus, number theory, differential equations, Fourier series, electronics, and computers in science fiction. He gives historical background for the problems presented, offers many examples and numerous challenges, supplies MATLAB codes for all the theories discussed, and includes detailed and complete solutions. Exploring the intimate relationship between mathematics, physics, and the tremendous power of modern computers, Number-Crunching will appeal to anyone interested in understanding how these three important fields join forces to solve today's thorniest puzzles. |
| electrical engineering imaginary numbers: Basic Electrical Engineering Mehta V.K. & Mehta Rohit, 2008 For close to 30 years, Basic Electrical Engineering has been the go-to text for students of Electrical Engineering. Emphasis on concepts and clear mathematical derivations, simple language coupled with systematic development of the subject aided by illustrations makes this text a fundamental read on the subject. Divided into 17 chapters, the book covers all the major topics such as DC Circuits, Units of Work, Power and Energy, Magnetic Circuits, fundamentals of AC Circuits and Electrical Instruments and Electrical Measurements in a straightforward manner for students to understand. |
| electrical engineering imaginary numbers: Precalculus Jay P. Abramson, Valeree Falduto, Rachael Gross (Mathematics teacher), David Lippman, Melonie Rasmussen, Rick Norwood, Nicholas Belloit, Jean-Marie Magnier, Harold Whipple, Christina Fernandez, 2014-10-23 Precalculus is intended for college-level precalculus students. Since precalculus courses vary from one institution to the next, we have attempted to meet the needs of as broad an audience as possible, including all of the content that might be covered in any particular course. The result is a comprehensive book that covers more ground than an instructor could likely cover in a typical one- or two-semester course; but instructors should find, almost without fail, that the topics they wish to include in their syllabus are covered in the text. Many chapters of OpenStax College Precalculus are suitable for other freshman and sophomore math courses such as College Algebra and Trigonometry; however, instructors of those courses might need to supplement or adjust the material. OpenStax will also be releasing College Algebra and Algebra and trigonometry titles tailored to the particular scope, sequence, and pedagogy of those courses.--Preface. |
| electrical engineering imaginary numbers: Digital Signal Processing: A Practical Guide for Engineers and Scientists Steven Smith, 2013-10-22 In addition to its thorough coverage of DSP design and programming techniques, Smith also covers the operation and usage of DSP chips. He uses Analog Devices' popular DSP chip family as design examples. - Covers all major DSP topics - Full of insider information and shortcuts - Basic techniques and algorithms explained without complex numbers |
| electrical engineering imaginary numbers: Steinmetz Electrical Engineering Library: Theory and calculation of alternating current phenomena (5th ed. 1916) Charles Proteus Steinmetz, 1916 |
| electrical engineering imaginary numbers: Essential Euler: Unraveling the Core Concepts of e N.B. Singh, Essential Euler: Unraveling the Core Concepts of e is a concise yet comprehensive guide that explores the fundamental concepts surrounding the mathematical constant 'e'. Written for both beginners and enthusiasts, this book provides clear explanations and practical examples to demystify the significance of 'e' in calculus, finance, and exponential growth. From its origins to its applications in various fields, readers will gain a deeper understanding of 'e' and its role as one of the most important constants in mathematics. Whether you're a student, mathematician, or curious mind, Essential Euler offers invaluable insights into the essence of 'e' and its impact on the world of mathematics and beyond. |
| electrical engineering imaginary numbers: Elementary Mathematical and Computational Tools for Electrical and Computer Engineers Using MATLAB Jamal T. Manassah, 2017-12-19 Engineers around the world depend on MATLAB for its power, usability, and outstanding graphics capabilities. Yet too often, engineering students are either left on their own to acquire the background they need to use MATLAB, or they must learn the program concurrently within an advanced course. Both of these options delay students from solving realistic design problems, especially when they do not have a text focused on applications relevant to their field and written at the appropriate level of mathematics. Ideal for use as a short-course textbook and for self-study Elementary Mathematical and Computational Tools for Electrical and Computer Engineers Using MATLAB fills that gap. Accessible after just one semester of calculus, it introduces the many practical analytical and numerical tools that are essential to success both in future studies and in professional life. Sharply focused on the needs of the electrical and computer engineering communities, the text provides a wealth of relevant exercises and design problems. Changes in MATLAB's version 6.0 are included in a special addendum. The lack of skills in fundamental quantitative tools can seriously impede progress in one's engineering studies or career. By working through this text, either in a lecture/lab environment or by themselves, readers will not only begin mastering MATLAB, but they will also hone their analytical and computational skills to a level that will help them to enjoy and succeed in subsequent electrical and computer engineering pursuits. |
| electrical engineering imaginary numbers: Basic Engineering Circuit Analysis J. David Irwin, R. Mark Nelms, 2005 Irwin's Basic Engineering Circuit Analysis has built a solid reputation for its highly accessible presentation, clear explanations, and extensive array of helpful learning aids. Now in a new eighth edition, this highly accessible book has been fine-tuned and revised, making it more effective and even easier to use. It covers such topics as resistive circuits, nodal and loop analysis techniques, capacitance and inductance, AC steady-state analysis, polyphase circuits, the Laplace transform, two-port networks, and much more. |
| electrical engineering imaginary numbers: Lessons in Electric Circuits: An Encyclopedic Text & Reference Guide (6 Volumes Set) Tony R. Kuphaldt, 2011 |
| electrical engineering imaginary numbers: Mathematics for Engineers I Gerd Baumann, 2010-10-01 Mathematics for Engineers I gehört zu einer vierbändigen Reihe und gibt eine Einführung in die Mathematik für Undergraduates, die ein Bachelor-Studium im Bereich Ingenieurwissenschaften aufgenommen haben. In Band I sind die Grundzüge des klassischen Calculus dargestellt. Die Reihe unterscheidet sich von traditionellen Texten dadurch, dass sie interaktiv ist und mit Hilfe des Computer-Algebra-Systems Mathematica die Berechnungen darstellt. Die vormalig beiliegende CD ist nun online bei Band IV als Zusatzmaterial zum kostenfreien Download verfügbar. |
| electrical engineering imaginary numbers: British or American English? John Algeo, 2006-08-10 Speakers of British and American English display some striking differences in their use of grammar. In this detailed survey, John Algeo considers questions such as: •Who lives on a street, and who lives in a street? •Who takes a bath, and who has a bath? •Who says Neither do I, and who says Nor do I? •After 'thank you', who says Not at all and who says You're welcome? •Whose team are on the ball, and whose team isn't? Containing extensive quotations from real-life English on both sides of the Atlantic, collected over the past twenty years, this is a clear and highly organized guide to the differences - and the similarities - between the grammar of British and American speakers. Written for those with no prior knowledge of linguistics, it shows how these grammatical differences are linked mainly to particular words, and provides an accessible account of contemporary English in use. |
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May 22, 2025 · Reading Time: 3 minutes City Electric Supply (CES) is giving 10 future electricians in North America $2,000 and a Milwaukee ® Tool starter tool kit! Getting started in school or a …
Electrical Supplies at Wholesale Prices | City Electric Supply
Last Revised: 08/2017. Terms of access. Please review these Terms of Access. All access to and use of this site and all websites (including mobile websites), applications, or other services on …
PPE for Electrical Safety: Essential Gear for Electricians
Mar 31, 2025 · PPE for electricians. First things first, what is PPE, and why is it important? The Occupational Safety and Health Administration defines PPE as the equipment worn to …
700 Series Wire Fill Capacities For Communications 700 Series …
WWW.LEGRAND.US/WIREMOLD 424 STEEL RACEWAY PERIMETER SYSTEMSWIREMOLD 2018/2019 Covers seam where two lengths of 3/4" 700 Series Raceway come together. …
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2/9/23, 3:28 PM Product Details - Industry Mall - Siemens USA https://mall.industry.siemens.com/mall/en/us/Catalog/Product/?mlfb=US2%3AMK0402L1400RLM …
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CESnews - Find out all the latest news from around our 550 …
Find out all the latest news from around our 550 electrical distribution locations and within the industry.
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BLP-WS-3CS Series - media.cityelectricsupply.com
page 2 of 5 oao poet: ae pepae y: oe 1167 sw tom mackie blvd port st lucie fl 3498 ph: 2.878.4944 tamliteusa.com application and performance specification is subject to change …
ElEctrical fittings & suppliEs - City Electric Supply
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