A Primer of Quaternions

By: Hathaway, Arthur S.

The Elements of Quaternions by Tait is the accepted text-book for advanced students. The following development of the theory is prepared for average students with a thorough knowledge of the elements of algebra and geometry, andis believed to be a simple and elementary treatment founded directly upon the fundamental ideas of the subject. This 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.In the endeavor to bring out the number idea of Quaternions, and at the same time retain the established nomenclature of the analysis, I have found it necessary to abandon the term \vector" for a directed length. I adopt instead Clifford's suggestive name of "step," leaving to "vector" the sole meaning of "right quaternion." This brings out clearly the relations ofthis number and line, and emphasizes the fact that Quaternions is a natural extension of our fundamental ideas of number, that is subject to ordinary principles of geometric representation, rather than an artificial species of geometrical algebra.

• Format: Paperback
• Language: English
• ISBN: 171816906X
• ISBN13: 9781718169067
• Release Date: January 1
• Publisher: Independently Published
• Length: 78 Pages
• Weight: 0.28 lbs.
• Dimensions: 0.2" x 6.0" x 9.0"