Complex Numbers And Vectors
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Complex Numbers And Vectors
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Author : Les Evans
language : en
Publisher: ACER Press
Release Date : 2006-04-01
Complex Numbers And Vectors written by Les Evans and has been published by ACER Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2006-04-01 with Education categories.
Complex Numbers and Vectors is an informative resource for advanced mathematics teachers or students undertaking advanced maths courses that draws on the power of intrigue and uses appealing applications from navigation, global positioning systems, earthquakes and stories from mathematical history to explain the mathematics of vectors and the discoveries in complex numbers. The title is split into two parts: Part 1 provides teachers with background material, ideas and teaching approaches to complex numbers: o Including models for complex numbers and their geometric and algebraic properties, their role in providing completeness with respect to the solution of polynomial equations of a single complex variable (the fundamental theorem of algebra) and the specification of curves and regions in the complex plane; and simple transformations of the complex plane. Part 2 provides an introduction to vectors and vector spaces: o Including matrix representation (covers vectors in two- and three-dimensions), their application to specification of curves and vector calculus and their elementary application to geometric proof Technology has been used throughout the text to construct images of curves, graphs and two and three dimensional shapes.
Complex Numbers Vector Algebra And Analytic Geometry
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Author : Геннадий Куповых
language : en
Publisher: Litres
Release Date : 2023-01-12
Complex Numbers Vector Algebra And Analytic Geometry written by Геннадий Куповых and has been published by Litres this book supported file pdf, txt, epub, kindle and other format this book has been release on 2023-01-12 with Foreign Language Study categories.
Пособие предназначено для студентов направлений 01.03.02,02.03.03,09.03.01, 09.03.02, 09.03.03, 09.03.04, 10.03.01, 27.03.03, 09.05.01, 10.05.02, 10.05.03, 10.05.05, изучающих курс «Математика (Mathematics)» на английском языке, и существенно дополняет пособие тех же авторов: Mnukhin, V.B., Kupovykh G.V., Timoshenko, D.V. Linear Algebra. / South Federal University. – 2018. – 112 pp. ISBN: 978-5-9275-3088-5. Пособие состоит из трёх глав, состоящих из разделов, разделенных на секции. Каждая из глав завершается рядом задач и упражнений, направленных на закрепление изученного материала.
Visual Complex Analysis
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Author : Tristan Needham
language : en
Publisher: Oxford University Press
Release Date : 1997
Visual Complex Analysis written by Tristan Needham and has been published by Oxford University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 1997 with Mathematics categories.
Now available in paperback, this successful radical approach to complex analysis replaces the standard calculational arguments with new geometric ones. With several hundred diagrams, and far fewer prerequisites than usual, this is the first visual intuitive introduction to complex analysis. Although designed for use by undergraduates in mathematics and science, the novelty of the approach will also interest professional mathematicians.
A First Course In Electrical And Computer Engineering
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Author : Louis L. Scharf
language : en
Publisher: Addison Wesley Publishing Company
Release Date : 1990
A First Course In Electrical And Computer Engineering written by Louis L. Scharf and has been published by Addison Wesley Publishing Company this book supported file pdf, txt, epub, kindle and other format this book has been release on 1990 with Computers categories.
Mathematics For Engineers And Scientists Sixth Edition
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Author : Alan Jeffrey
language : en
Publisher: CRC Press
Release Date : 2004-08-10
Mathematics For Engineers And Scientists Sixth Edition written by Alan Jeffrey and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2004-08-10 with Mathematics categories.
Since its original publication in 1969, Mathematics for Engineers and Scientists has built a solid foundation in mathematics for legions of undergraduate science and engineering students. It continues to do so, but as the influence of computers has grown and syllabi have evolved, once again the time has come for a new edition. Thoroughly revised to meet the needs of today's curricula, Mathematics for Engineers and Scientists, Sixth Edition covers all of the topics typically introduced to first- or second-year engineering students, from number systems, functions, and vectors to series, differential equations, and numerical analysis. Among the most significant revisions to this edition are: Simplified presentation of many topics and expanded explanations that further ease the comprehension of incoming engineering students A new chapter on double integrals Many more exercises, applications, and worked examples A new chapter introducing the MATLAB and Maple software packages Although designed as a textbook with problem sets in each chapter and selected answers at the end of the book, Mathematics for Engineers and Scientists, Sixth Edition serves equally well as a supplemental text and for self-study. The author strongly encourages readers to make use of computer algebra software, to experiment with it, and to learn more about mathematical functions and the operations that it can perform.
Introduction To Matrices And Vectors
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Author : Jacob T. Schwartz
language : en
Publisher: Courier Corporation
Release Date : 2001-01-01
Introduction To Matrices And Vectors written by Jacob T. Schwartz and has been published by Courier Corporation this book supported file pdf, txt, epub, kindle and other format this book has been release on 2001-01-01 with Mathematics categories.
Concise undergraduate text focuses on problem solving, rather than elaborate proofs. The first three chapters present the basics of matrices, including addition, multiplication, and division. In later chapters the author introduces vectors and shows how to use vectors and matrices to solve systems of linear equations. 1961 edition. 20 black-and-white illustrations.
Mathematics For Engineers And Scientists 5th Edition
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Author : Alan Jeffrey
language : en
Publisher: CRC Press
Release Date : 1996-06-13
Mathematics For Engineers And Scientists 5th Edition written by Alan Jeffrey and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 1996-06-13 with Mathematics categories.
This edition of the book has been revised with the needs of present-day first-year engineering students in mind. Apart from many significant extensions to the text, attention has been paid to the inclusion of additional explanatory material wherever it seems likely to be helpful and to a lowering of the rigour of proofs given in previous editions - without losing sight of the necessity to justify results. New problem sets are included for use with commonly available software products. The mathematical requirements common to first year engineering students of every discipline are covered in detail with numerous illustrative worked examples given throughout the text. Extensive problem sets are given at the end of each chapter with answers to odd-numbered questions provided at the end of the book.
Introduction To Applied Linear Algebra
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Author : Stephen Boyd
language : en
Publisher: Cambridge University Press
Release Date : 2018-06-07
Introduction To Applied Linear Algebra written by Stephen Boyd and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2018-06-07 with Business & Economics categories.
A groundbreaking introduction to vectors, matrices, and least squares for engineering applications, offering a wealth of practical examples.
Calculus With Complex Numbers
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Author : John B. Reade
language : en
Publisher: CRC Press
Release Date : 2003-03-13
Calculus With Complex Numbers written by John B. Reade and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2003-03-13 with Mathematics categories.
This practical treatment explains the applications complex calculus without requiring the rigor of a real analysis background. The author explores algebraic and geometric aspects of complex numbers, differentiation, contour integration, finite and infinite real integrals, summation of series, and the fundamental theorem of algebra. The Residue Theorem for evaluating complex integrals is presented in a straightforward way, laying the groundwork for further study. A working knowledge of real calculus and familiarity with complex numbers is assumed. This book is useful for graduate students in calculus and undergraduate students of applied mathematics, physical science, and engineering.
An Imaginary Tale
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Author : Paul Nahin
language : en
Publisher: Princeton University Press
Release Date : 2010-02-22
An Imaginary Tale written by Paul Nahin and has been published by Princeton University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2010-02-22 with Mathematics categories.
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.