Vectors And Their Applications
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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.
Vector Analysis
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Author : Joseph George Coffin
language : en
Publisher:
Release Date : 1952
Vector Analysis written by Joseph George Coffin and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1952 with Vector analysis categories.
Vector And Tensor Analysis With Applications
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Author : Aleksandr Ivanovich Borisenko
language : en
Publisher: Courier Corporation
Release Date : 1968-01-01
Vector And Tensor Analysis With Applications written by Aleksandr Ivanovich Borisenko and has been published by Courier Corporation this book supported file pdf, txt, epub, kindle and other format this book has been release on 1968-01-01 with Mathematics categories.
Concise, readable text ranges from definition of vectors and discussion of algebraic operations on vectors to the concept of tensor and algebraic operations on tensors. Worked-out problems and solutions. 1968 edition.
Vector Bundles And Their Applications
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Author : Glenys Luke
language : en
Publisher: Springer Science & Business Media
Release Date : 2013-03-09
Vector Bundles And Their Applications written by Glenys Luke and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-03-09 with Mathematics categories.
The book is devoted to the basic notions of vector bundles and their applications. The focus of attention is towards explaining the most important notions and geometric constructions connected with the theory of vector bundles. Theorems are not always formulated in maximal generality but rather in such a way that the geometric nature of the objects comes to the fore. Whenever possible examples are given to illustrate the role of vector bundles. Audience: With numerous illustrations and applications to various problems in mathematics and the sciences, the book will be of interest to a range of graduate students from pure and applied mathematics.
Vector Analysis
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Author : JOSEPH GEORGE. COFFIN
language : en
Publisher:
Release Date : 2018
Vector Analysis written by JOSEPH GEORGE. COFFIN and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2018 with categories.
An Introduction To Vectors Vector Operators And Vector Analysis
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Author : Pramod S. Joag
language : en
Publisher: Cambridge University Press
Release Date : 2016
An Introduction To Vectors Vector Operators And Vector Analysis written by Pramod S. Joag 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 2016 with Mathematical physics categories.
Ideal for undergraduate and graduate students of science and engineering, this book covers fundamental concepts of vectors and their applications in a single volume. The first unit deals with basic formulation, both conceptual and theoretical. It discusses applications of algebraic operations, Levi-Civita notation, and curvilinear coordinate systems like spherical polar and parabolic systems and structures, and analytical geometry of curves and surfaces. The second unit delves into the algebra of operators and their types and also explains the equivalence between the algebra of vector operators and the algebra of matrices. Formulation of eigen vectors and eigen values of a linear vector operator are elaborated using vector algebra. The third unit deals with vector analysis, discussing vector valued functions of a scalar variable and functions of vector argument (both scalar valued and vector valued), thus covering both the scalar vector fields and vector integration.
Vectors And Their Application To Geometry Mechanics
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Author : Arthur James Francis
language : en
Publisher:
Release Date : 1968
Vectors And Their Application To Geometry Mechanics written by Arthur James Francis and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1968 with Vector analysis categories.
Applications Of Vector Analysis And Complex Variables In Engineering
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Author : Otto D. L. Strack
language : en
Publisher: Springer Nature
Release Date : 2020-04-18
Applications Of Vector Analysis And Complex Variables In Engineering written by Otto D. L. Strack and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2020-04-18 with Technology & Engineering categories.
This textbook presents the application of mathematical methods and theorems tosolve engineering problems, rather than focusing on mathematical proofs. Applications of Vector Analysis and Complex Variables in Engineering explains the mathematical principles in a manner suitable for engineering students, who generally think quite differently than students of mathematics. The objective is to emphasize mathematical methods and applications, rather than emphasizing general theorems and principles, for which the reader is referred to the literature. Vector analysis plays an important role in engineering, and is presented in terms of indicial notation, making use of the Einstein summation convention. This text differs from most texts in that symbolic vector notation is completely avoided, as suggested in the textbooks on tensor algebra and analysis written in German by Duschek and Hochreiner, in the 1960s. The defining properties of vector fields, the divergence and curl, are introduced in terms of fluid mechanics. The integral theorems of Gauss (the divergence theorem), Stokes, and Green are introduced also in the context of fluid mechanics. The final application of vector analysis consists of the introduction of non-Cartesian coordinate systems with straight axes, the formal definition of vectors and tensors. The stress and strain tensors are defined as an application. Partial differential equations of the first and second order are discussed. Two-dimensional linear partial differential equations of the second order are covered, emphasizing the three types of equation: hyperbolic, parabolic, and elliptic. The hyperbolic partial differential equations have two real characteristic directions, and writing the equations along these directions simplifies the solution process. The parabolic partial differential equations have two coinciding characteristics; this gives useful information regarding the character of the equation, but does not help in solving problems. The elliptic partial differential equations do not have real characteristics. In contrast to most texts, rather than abandoning the idea of using characteristics, here the complex characteristics are determined, and the differential equations are written along these characteristics. This leads to a generalized complex variable system, introduced by Wirtinger. The vector field is written in terms of a complex velocity, and the divergence and the curl of the vector field is written in complex form, reducing both equations to a single one. Complex variable methods are applied to elliptical problems in fluid mechanics, and linear elasticity. The techniques presented for solving parabolic problems are the Laplace transform and separation of variables, illustrated for problems of heat flow and soil mechanics. Hyperbolic problems of vibrating strings and bars, governed by the wave equation are solved by the method of characteristics as well as by Laplace transform. The method of characteristics for quasi-linear hyperbolic partial differential equations is illustrated for the case of a failing granular material, such as sand, underneath a strip footing. The Navier Stokes equations are derived and discussed in the final chapter as an illustration of a highly non-linear set of partial differential equations and the solutions are interpreted by illustrating the role of rotation (curl) in energy transfer of a fluid.
Vector Analysis
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Author : Joseph George Coffin
language : en
Publisher: Forgotten Books
Release Date : 2017-10-19
Vector Analysis written by Joseph George Coffin and has been published by Forgotten Books this book supported file pdf, txt, epub, kindle and other format this book has been release on 2017-10-19 with Mathematics categories.
Excerpt from Vector Analysis: An Introduction to Vector-Methods and Their Various Applications to Physics and Mathematics This fact exists, for it is such, because these newer methods and ideas apply more naturally, more simply and more directly to many of the conceptions of geometry, mechanics and mathematical physics, than those long accepted. Why then have these admitted advantages not led to a more universal adoption of these methods The answer seems to be that the required change of ideas, of manner of thought and Of notation, was too radical. It is well known that changes evolve slowly, and although to many, evolution is far too slow a process, the only way to. Proceed is to aid to the best of one's ability in bringing about the desired result. One who has studied and labored over the applications of mathematical analysis to physical and geometrical prob lems, naturally has reluctance to discard the old familiar looking formulae and start anew in an unknown and radically different language. About the Publisher Forgotten Books publishes hundreds of thousands of rare and classic books. Find more at www.forgottenbooks.com This book is a reproduction of an important historical work. Forgotten Books uses state-of-the-art technology to digitally reconstruct the work, preserving the original format whilst repairing imperfections present in the aged copy. In rare cases, an imperfection in the original, such as a blemish or missing page, may be replicated in our edition. We do, however, repair the vast majority of imperfections successfully; any imperfections that remain are intentionally left to preserve the state of such historical works.
Vector Analysis With Applications
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Author : Absos Ali Shaikh
language : en
Publisher: Alpha Science International, Limited
Release Date : 2009
Vector Analysis With Applications written by Absos Ali Shaikh and has been published by Alpha Science International, Limited this book supported file pdf, txt, epub, kindle and other format this book has been release on 2009 with Vector analysis categories.
Vector Analysis with Applications discusses the theory of vector algebra, vector differential and integral calculus with applications to various fields such as geometry, mechanics, physics and engineering. The concept of vector analysis is explained lucidly with the geometric notions and physical motivations. Many new approaches and new problems have been incorporated to enable the readers understand the subject in a comprehensive and systematic manner. Numerous solved problems have been included in each chapter with sufficient number of exercises. Each concept is explained with geometric figures.