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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.


Vector Analysis

Vector Analysis
Author: Homer E. Newell
Publisher: Courier Corporation
Total Pages: 226
Release: 2012-05-04
Genre: Mathematics
ISBN: 0486154904

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This text combines the logical approach of a mathematical subject with the intuitive approach of engineering and physical topics. Applications include kinematics, mechanics, and electromagnetic theory. Includes exercises and answers. 1955 edition.


Vector Analysis

Vector Analysis
Author: Louis Brand
Publisher: Courier Corporation
Total Pages: 306
Release: 2012-06-22
Genre: Mathematics
ISBN: 048615484X

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This text was designed as a short introductory course to give students the tools of vector algebra and calculus, as well as a brief glimpse into the subjects' manifold applications. 1957 edition. 86 figures.


Vector Analysis Versus Vector Calculus

Vector Analysis Versus Vector Calculus
Author: Antonio Galbis
Publisher: Springer Science & Business Media
Total Pages: 383
Release: 2012-03-29
Genre: Mathematics
ISBN: 1461422000

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The aim of this book is to facilitate the use of Stokes' Theorem in applications. The text takes a differential geometric point of view and provides for the student a bridge between pure and applied mathematics by carefully building a formal rigorous development of the topic and following this through to concrete applications in two and three variables. Key topics include vectors and vector fields, line integrals, regular k-surfaces, flux of a vector field, orientation of a surface, differential forms, Stokes' theorem, and divergence theorem. This book is intended for upper undergraduate students who have completed a standard introduction to differential and integral calculus for functions of several variables. The book can also be useful to engineering and physics students who know how to handle the theorems of Green, Stokes and Gauss, but would like to explore the topic further.


Vector Analysis

Vector Analysis
Author: Josiah Willard Gibbs
Publisher:
Total Pages: 468
Release: 1901
Genre: Vector analysis
ISBN:

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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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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.


Introduction to Vector Analysis

Introduction to Vector Analysis
Author: Harry F. Davis
Publisher:
Total Pages: 365
Release: 1988
Genre: Vector analysis
ISBN: 9780697063564

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Vector Analysis for Computer Graphics

Vector Analysis for Computer Graphics
Author: John Vince
Publisher: Springer Science & Business Media
Total Pages: 260
Release: 2007-06-18
Genre: Computers
ISBN: 1846288037

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This book is a complete introduction to vector analysis, especially within the context of computer graphics. The author shows why vectors are useful and how it is possible to develop analytical skills in manipulating vector algebra. Even though vector analysis is a relatively recent development in the history of mathematics, it has become a powerful and central tool in describing and solving a wide range of geometric problems. The book is divided into eleven chapters covering the mathematical foundations of vector algebra and its application to, among others, lines, planes, intersections, rotating vectors, and vector differentiation.


Tensor and Vector Analysis

Tensor and Vector Analysis
Author: C. E. Springer
Publisher: Courier Corporation
Total Pages: 256
Release: 2013-09-26
Genre: Mathematics
ISBN: 048632091X

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Assuming only a knowledge of basic calculus, this text's elementary development of tensor theory focuses on concepts related to vector analysis. The book also forms an introduction to metric differential geometry. 1962 edition.