Vectors and Vector Operators: 1st Edition (Paperback) book cover

Vectors and Vector Operators

1st Edition

By P.G Dawber

CRC Press

64 pages

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Paperback: 9780852745854
pub: 1987-01-01
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Description

Vectors and Vector Operators provides an introduction to the use of vectors and vector operators that will be especially helpful to first-year undergraduates of the physical sciences. The vector forms of many of the equations of physics clearly demonstrate the essential geometrical relationships between the quantities involved. Topics covered include vector algebra, products of vectors, differentiation of vectors, the gradient operator, and the divergence and curl of vector fields. Throughout the text, the author emphasizes the application of vector techniques to problems in physics and includes many worked examples.

Table of Contents

VECTOR ALGEBRA

Description of vectors

Scaling, addition and subtraction of vectors

Decomposition and resolution of vectors

Examples of vector addition from physics

PRODUCTS OF VECTORS

The scalar product

The vector product

Products of three or more vectors

DIFFERENTIATION OF VECTORS

Definition of the derivative

Particle dynamics

Plane polar coordinates and circular motion

THE GRADIENT OPERATOR

Scalar and vector fields

Partial derivatives

The gradient operator

Examples of the gradient operator

THE DIVERGENCE OF A VECTOR FIELD

Line, surface and volume integrals

The meaning of the divergence of a vector field

Gauss's theorem

An equation of continuity

Some examples

THE CURL OF A VECTOR FIELD

Stokes's theorem

Interpretation of curl F

Double vector operators

Examples involving curl

About the Series

Student Monographs in Physics

Learn more…

Subject Categories

BISAC Subject Codes/Headings:
SCI040000
SCIENCE / Mathematical Physics