A Primer Of Quaternions - Illustrated - ISBN:1933998644

A Primer Of Quaternions - Illustrated

Date: 15 April 2011, 12:51

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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 ?
Linear Homogeneous Strain
Finite and Null Strains
Solution of ?? = ?
Derived Moduli. Latent Roots
Latent Lines and Planes
The Characteristic Equation
Conjugate Nonions
Self-conjugate Nonions
Examples

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