About Vectors
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About Vectors
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Author : Banesh Hoffmann
language : en
Publisher: Courier Corporation
Release Date : 2012-05-24
About Vectors written by Banesh Hoffmann and has been published by Courier Corporation this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-05-24 with Mathematics categories.
From his unusual beginning in "Defining a vector" to his final comments on "What then is a vector?" author Banesh Hoffmann has written a book that is provocative and unconventional. In his emphasis on the unresolved issue of defining a vector, Hoffmann mixes pure and applied mathematics without using calculus. The result is a treatment that can serve as a supplement and corrective to textbooks, as well as collateral reading in all courses that deal with vectors. Major topics include vectors and the parallelogram law; algebraic notation and basic ideas; vector algebra; scalars and scalar products; vector products and quotients of vectors; and tensors. The author writes with a fresh, challenging style, making all complex concepts readily understandable. Nearly 400 exercises appear throughout the text. Professor of Mathematics at Queens College at the City University of New York, Banesh Hoffmann is also the author of The Strange Story of the Quantum and other important books. This volume provides much that is new for both students and their instructors, and it will certainly generate debate and discussion in the classroom.
Vector Geometry
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Author : Gilbert de Beauregard Robinson
language : en
Publisher: Boston : Allyn and Bacon
Release Date : 1962
Vector Geometry written by Gilbert de Beauregard Robinson and has been published by Boston : Allyn and Bacon this book supported file pdf, txt, epub, kindle and other format this book has been release on 1962 with Geometry categories.
Vectors And Their Applications
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Author : Anthony J. Pettofrezzo
language : en
Publisher: Courier Corporation
Release Date : 2012-12-04
Vectors And Their Applications written by Anthony J. Pettofrezzo and has been published by Courier Corporation this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-12-04 with Mathematics categories.
Geared toward undergraduate students, this text illustrates the use of vectors as a mathematical tool in plane synthetic geometry, plane and spherical trigonometry, and analytic geometry of two- and three-dimensional space. Its rigorous development includes a complete treatment of the algebra of vectors in the first two chapters. Among the text's outstanding features are numbered definitions and theorems in the development of vector algebra, which appear in italics for easy reference. Most of the theorems include proofs, and coordinate position vectors receive an in-depth treatment. Key concepts for generalized vector spaces are clearly presented and developed, and 57 worked-out illustrative examples aid students in mastering the concepts. A total of 258 exercise problems offer supplements to theories or provide the opportunity to reinforce the understanding of applications, and answers to odd-numbered exercises appear at the end of the book.
Vectors In Physics And Engineering
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Author : Alan Durrant
language : en
Publisher: Routledge
Release Date : 2019-02-25
Vectors In Physics And Engineering written by Alan Durrant and has been published by Routledge this book supported file pdf, txt, epub, kindle and other format this book has been release on 2019-02-25 with Mathematics categories.
This text is an introduction to the use of vectors in a wide range of undergraduate disciplines. It is written specifically to match the level of experience and mathematical qualifications of students entering undergraduate and Higher National programmes and it assumes only a minimum of mathematical background on the part of the reader. Basic mathematics underlying the use of vectors is covered, and the text goes from fundamental concepts up to the level of first-year examination questions in engineering and physics. The material treated includes electromagnetic waves, alternating current, rotating fields, mechanisms, simple harmonic motion and vibrating systems. There are examples and exercises and the book contains many clear diagrams to complement the text. The provision of examples allows the student to become proficient in problem solving and the application of the material to a range of applications from science and engineering demonstrates the versatility of vector algebra as an analytical tool.
Introduction To Matrices And Vectors
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Author : Jacob T. Schwartz
language : en
Publisher: Courier Corporation
Release Date : 2012-05-23
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 2012-05-23 with Mathematics categories.
Realizing that matrices can be a confusing topic for the beginner, the author of this undergraduate text has made things as clear as possible by focusing on problem solving, rather than elaborate proofs. He begins with the basics, offering students a solid foundation for the later chapters on using special matrices to solve problems.The first three chapters present the basics of matrices, including addition, multiplication, and division, and give solid practice in the areas of matrix manipulation where the laws of algebra do not apply. In later chapters the author introduces vectors and shows how to use vectors and matrices to solve systems of linear equations. He also covers special matrices — including complex numbers, quaternion matrices, and matrices with complex entries — and transpose matrices; the trace of a matrix; the cross product of matrices; eigenvalues and eigenvectors; and infinite series of matrices. Exercises at the end of each section give students further practice in problem solving. Prerequisites include a background in algebra, and in the later chapters, a knowledge of solid geometry. The book was designed as an introductory text for college freshmen and sophomores, but selected chapters can also be used to supplement advanced high school classes. Professionals who need a better understanding or review of the subject will also benefit from this concise guide.
Vector Analysis From Scratch
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Author : David Smith
language : en
Publisher: Independently Published
Release Date : 2021-07-24
Vector Analysis From Scratch written by David Smith and has been published by Independently Published this book supported file pdf, txt, epub, kindle and other format this book has been release on 2021-07-24 with categories.
Vector analysis is a very useful and a powerful tool for physicists and engineers alike. It has applications in multiple fields. Although it is not a particularly difficult subject to learn, students often lack a proper understanding of the concepts on a deeper level. This restricts its usage to a mere mathematical tool.That's where this book hope to be different. We don't want this subject to be treated just as a mathematical tool. We hope to go beyond it. Therefore, the emphasis is to provide physical interpretation to the various concepts in the subject with the help of illustrative figures and intuitive reasoning. Having said that, we have given adequate importance to the mathematical aspect of the subject as well. 100+ solved examples given in the book will give the reader a definite edge when it comes to problem solving.For beginners this book will provide a concise introduction to the world of vectors in a unique way. The various concepts of the subject are arranged logically and explained in a simple reader-friendly language, so that they can learn with minimum effort in quick time. For experts, this book will a great refresher.The first 2 chapters focus on the basics of vectors. In chapters 3 to 5 we dig into vector calculus. Chapter 6 is all about vectors in different coordinate systems and finally chapter 7 focuses on the applications of vectors in various fields like engineering mechanics, electromagnetism, fluid mechanics etc.
Elements Of Vector Algebra
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Author : Rishi Kumar Jha, Anshuman Singh
language : en
Publisher: Notion Press
Release Date : 2018-06-05
Elements Of Vector Algebra written by Rishi Kumar Jha, Anshuman Singh and has been published by Notion Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2018-06-05 with Mathematics categories.
The book, Elements of Vector Algebra, is written for high school and engineering students who wish to gain elementary knowledge of vectors. Algebraic and geometric interpretations of vectors, along with examples and exercises in mathematical and engineering applications, have been provided to help develop a clear understanding of the vector concepts. The book provides thorough treatment of elementary vector operators and their algebra, product of two and three vectors and various engineering and scientific applications involving these concepts. At the end of each chapter, comprehensive exercises with varying degrees of difficulty have been provided to further hone the concepts. Interdisciplinary problems that have practical applications can also be found in this book catering to the ever-extending scope of vector algebra.
Vector Analysis For Mathematicians Scientists And Engineers
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Author : S. Simons
language : en
Publisher: Elsevier
Release Date : 2014-05-15
Vector Analysis For Mathematicians Scientists And Engineers written by S. Simons and has been published by Elsevier this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014-05-15 with Mathematics categories.
Vector Analysis for Mathematicians, Scientists and Engineers, Second Edition, provides an understanding of the methods of vector algebra and calculus to the extent that the student will readily follow those works which make use of them, and further, will be able to employ them himself in his own branch of science. New concepts and methods introduced are illustrated by examples drawn from fields with which the student is familiar, and a large number of both worked and unworked exercises are provided. The book begins with an introduction to vectors, covering their representation, addition, geometrical applications, and components. Separate chapters discuss the products of vectors; the products of three or four vectors; the differentiation of vectors; gradient, divergence, and curl; line, surface, and volume integrals; theorems of vector integration; and orthogonal curvilinear coordinates. The final chapter presents an application of vector analysis. Answers to odd-numbered exercises are provided as the end of the book.
A History Of Vector Analysis
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Author : Michael J. Crowe
language : en
Publisher: Courier Corporation
Release Date : 1994-01-01
A History Of Vector Analysis written by Michael J. Crowe and has been published by Courier Corporation this book supported file pdf, txt, epub, kindle and other format this book has been release on 1994-01-01 with Mathematics categories.
Prize-winning study traces the rise of the vector concept from the discovery of complex numbers through the systems of hypercomplex numbers to the final acceptance around 1910 of the modern system of vector analysis.
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.