Elements of Vector Analysis

Elements of Vector Analysis
Author: Josiah Willard Gibbs
Publisher:
Total Pages: 90
Release: 1884
Genre: Vector analysis
ISBN:

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Elements of Vector Analysis

Elements of Vector Analysis
Author: Josiah Willard Gibbs
Publisher:
Total Pages: 83
Release: 1881
Genre:
ISBN:

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Elements of Vector Analysis

Elements of Vector Analysis
Author: Josiah Willard Gibbs
Publisher: Legare Street Press
Total Pages: 0
Release: 2023-07-18
Genre:
ISBN: 9781019413234

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This textbook by Josiah Willard Gibbs provides a comprehensive overview of vector analysis as it pertains to physics. The book covers topics ranging from vector algebra to the calculus of vector fields. It is an essential resource for students and researchers in the field of physics. 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.

A History of Vector Analysis

A History of Vector Analysis
Author: Michael J. Crowe
Publisher: Courier Corporation
Total Pages: 306
Release: 1994-01-01
Genre: Mathematics
ISBN: 0486679101

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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.

ELEMENTS OF VECTOR ANALYSIS

ELEMENTS OF VECTOR ANALYSIS
Author: JOSIAH WILLARD. GIBBS
Publisher:
Total Pages: 0
Release: 2018
Genre:
ISBN: 9781033576649

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Vector and Tensor Analysis with Applications

Vector and Tensor Analysis with Applications
Author: A. I. Borisenko
Publisher: Courier Corporation
Total Pages: 292
Release: 2012-08-28
Genre: Mathematics
ISBN: 0486131904

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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 Analysis and Cartesian Tensors

Vector Analysis and Cartesian Tensors
Author: D. E. Bourne
Publisher: Academic Press
Total Pages: 271
Release: 2014-05-10
Genre: Mathematics
ISBN: 1483260704

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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.

Vector Analysis

Vector Analysis
Author: Klaus Jänich
Publisher: Springer Science & Business Media
Total Pages: 289
Release: 2013-03-09
Genre: Mathematics
ISBN: 1475734786

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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.

Elements of Vector Analysis

Elements of Vector Analysis
Author: Josiah W. Gibbs
Publisher:
Total Pages: 88
Release: 2020-03-07
Genre:
ISBN: 9783337920463

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Vector Analysis with Applications

Vector Analysis with Applications
Author: Absos Ali Shaikh
Publisher: Alpha Science International, Limited
Total Pages: 0
Release: 2009
Genre: Vector analysis
ISBN: 9781842655412

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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.