Author: Josiah Willard Gibbs
Publisher:
ISBN:
Category : Vector analysis
Languages : en
Pages : 90

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Book Description

Author: Michael J. Crowe
Publisher: Courier Corporation
ISBN: 0486679101
Category : Mathematics
Languages : en
Pages : 306

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Book Description
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.

Author: Klaus Jänich
Publisher: Springer Science & Business Media
ISBN: 1475734786
Category : Mathematics
Languages : en
Pages : 289

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Book Description
This book presents modern vector analysis and carefully describes the classical notation and understanding of the theory. It covers all of the classical vector analysis in Euclidean space, as well as on manifolds, and goes on to introduce de Rham Cohomology, Hodge theory, elementary differential geometry, and basic duality. The material is accessible to readers and students with only calculus and linear algebra as prerequisites. A large number of illustrations, exercises, and tests with answers make this book an invaluable self-study source.

Author: A. I. Borisenko
Publisher: Courier Corporation
ISBN: 0486131904
Category : Mathematics
Languages : en
Pages : 292

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Book Description
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.

Author: D. E. Bourne
Publisher: Academic Press
ISBN: 1483260704
Category : Mathematics
Languages : en
Pages : 271

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Book Description
Vector Analysis and Cartesian Tensors, Second Edition focuses on the processes, methodologies, and approaches involved in vector analysis and Cartesian tensors, including volume integrals, coordinates, curves, and vector functions. The publication first elaborates on rectangular Cartesian coordinates and rotation of axes, scalar and vector algebra, and differential geometry of curves. Discussions focus on differentiation rules, vector functions and their geometrical representation, scalar and vector products, multiplication of a vector by a scalar, and angles between lines through the origin. The text then elaborates on scalar and vector fields and line, surface, and volume integrals, including surface, volume, and repeated integrals, general orthogonal curvilinear coordinates, and vector components in orthogonal curvilinear coordinates. The manuscript ponders on representation theorems for isotropic tensor functions, Cartesian tensors, applications in potential theory, and integral theorems. Topics include geometrical and physical significance of divergence and curl, Poisson's equation in vector form, isotropic scalar functions of symmetrical second order tensors, and diagonalization of second-order symmetrical tensors. The publication is a valuable reference for mathematicians and researchers interested in vector analysis and Cartesian tensors.

Author: Absos Ali Shaikh
Publisher: Alpha Science International, Limited
ISBN: 9781842655412
Category : Vector analysis
Languages : en
Pages : 0

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Book Description
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.

Author: Dwight E. Neuenschwander
Publisher: JHU Press
ISBN: 142141564X
Category : Mathematics
Languages : en
Pages : 244

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Book Description
It is an ideal companion for courses such as mathematical methods of physics, classical mechanics, electricity and magnetism, and relativity.--Gary White, editor of The Physics Teacher "American Journal of Physics"

Author: Pramod S. Joag
Publisher: Cambridge University Press
ISBN: 1316870472
Category : Science
Languages : en
Pages : 548

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Book Description
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.

Author: J Willard Gibbs
Publisher: Hassell Street Press
ISBN: 9781022889460
Category :
Languages : en
Pages : 0

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Book Description
This textbook is a comprehensive guide to vector analysis, a mathematical tool that has applications across many disciplines. Written by the acclaimed mathematician J. Willard Gibbs, this book is a timeless resource for students and professionals alike. This work has been selected by scholars as being culturally important, and is part of the knowledge base of civilization as we know it. This work is in the "public domain in the United States of America, and possibly other nations. Within the United States, you may freely copy and distribute this work, as no entity (individual or corporate) has a copyright on the body of the work. Scholars believe, and we concur, that this work is important enough to be preserved, reproduced, and made generally available to the public. We appreciate your support of the preservation process, and thank you for being an important part of keeping this knowledge alive and relevant.

Author: Ludwik Silberstein
Publisher:
ISBN:
Category : Vector analysis
Languages : en
Pages : 60

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Book Description