Vector Methods Applied to Differential Geometry, Mechanics, and Potential Theory
Designed to familiarize undergraduates with the methods of vector algebra and vector calculus, this text offers both a clear view of the abstract theory as well as a concise survey of the theory's applications to various branches of pure and applied mathematics. A chapter on differential geometry introduces readers to the study of this subject by the methods of vector algebra. The next section explores the many aspects of the theory of mechanics adaptable to the use of vectors, and a full discussion of the vector operator nabla proceeds to a treatment of potential theory and Laplace's equation. This includes applications to the theories of gravitation, hydrodynamics, and electricity. A brief chapter on four-dimensional vectors concludes the text.
"1102897158"
Vector Methods Applied to Differential Geometry, Mechanics, and Potential Theory
Designed to familiarize undergraduates with the methods of vector algebra and vector calculus, this text offers both a clear view of the abstract theory as well as a concise survey of the theory's applications to various branches of pure and applied mathematics. A chapter on differential geometry introduces readers to the study of this subject by the methods of vector algebra. The next section explores the many aspects of the theory of mechanics adaptable to the use of vectors, and a full discussion of the vector operator nabla proceeds to a treatment of potential theory and Laplace's equation. This includes applications to the theories of gravitation, hydrodynamics, and electricity. A brief chapter on four-dimensional vectors concludes the text.
10.95 In Stock
Vector Methods Applied to Differential Geometry, Mechanics, and Potential Theory

Vector Methods Applied to Differential Geometry, Mechanics, and Potential Theory

by D. E. Rutherford
Vector Methods Applied to Differential Geometry, Mechanics, and Potential Theory

Vector Methods Applied to Differential Geometry, Mechanics, and Potential Theory

by D. E. Rutherford

Paperback(Unabridged Republication)

$10.95 
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Overview

Designed to familiarize undergraduates with the methods of vector algebra and vector calculus, this text offers both a clear view of the abstract theory as well as a concise survey of the theory's applications to various branches of pure and applied mathematics. A chapter on differential geometry introduces readers to the study of this subject by the methods of vector algebra. The next section explores the many aspects of the theory of mechanics adaptable to the use of vectors, and a full discussion of the vector operator nabla proceeds to a treatment of potential theory and Laplace's equation. This includes applications to the theories of gravitation, hydrodynamics, and electricity. A brief chapter on four-dimensional vectors concludes the text.

Product Details

ISBN-13: 9780486439037
Publisher: Dover Publications
Publication date: 08/11/2004
Series: Dover Books on Mathematics Series
Edition description: Unabridged Republication
Pages: 160
Product dimensions: 5.37(w) x 8.50(h) x (d)

Table of Contents

Preface
Vector Algebra
Differential Geometry
Applications to Mechanics
The Vector Operator
Potential Theory
Hydrodynamics
Laplace’s Equation
Four-Dimensional Vectors
Bibliography
Index
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