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Audiobooks & Video Training A Primer Of Quaternions - Illustrated

Posted on 2010-10-09

Name:	Audiobooks & Video Training A Primer Of Quaternions - Illustrated
ASIN/ISBN:	1933998644
Publish Date:	1933998644
Pages:	72 pages
File size:	1 Mb
Publish Date:	2007
ISBN:	1933998644
Pages:	72 pages
File Type:	PDF
File Size:	1 MB
Other Info:	Merchant Books

Audiobooks & Video Training A Primer Of Quaternions - Illustrated

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Arthur S. Hathaway, "A Primer Of Quaternions - Illustrated"

The book is prepared for average students with a thorough knowledge of the elements of algebra and geometry, and is believed to be a simple and elementary treatment founded directly upon the fundamental ideas of the subject. The theory is applied in the more advanced examples to develop the principal formulas of trigonometry and solid analytical geometry, and the general properties and classification of surfaces of second order.

TABLE OF CONTENTS

1 Steps

Definitions and Theorems

Centre of Gravity

Curve Tracing, Tangents

Parallel Projection

Step Proportion

Examples

2 Rotations. Turns. Arc Steps

Definitions and Theorems of Rotation

Definitions of Turn and Arc Steps

Examples

3 Quaternions

Definitions and Theorem

Examples

Multiplication

The Rotator q()q −1

Powers and Roots

Representation of Vectors

Examples

Addition

Formulas

Geometric Theorems

Examples

4 Equations of First Degree

Scalar Equations, Plane and Straight Line

Examples

Nonions

Vector Equations, the Operator φ

Linear Homogeneous Strain

Finite and Null Strains

Solution of φρ = δ

Derived Moduli. Latent Roots

Latent Lines and Planes

The Characteristic Equation

Conjugate Nonions

Self-conjugate Nonions

Examples

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