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Excerpt from Introduction to Quaternions: With Numerous Examples
IN preparing this second edition for press I have altered as slightly as possible those portions of the work which were written entirely by Prof. Kelland. The mode of presentation which he employed must always be of great interest, if only from the fact that he was an exceptionally able teacher; but the success of the work, as an introduction to a method which is now rapidly advancing in general estimation, would of itself have been a sufficient motive for my refraining from any serious alteration.
A third reason, had such been necessary, would have pre sented itself in the fact that I have never considered with the necessary care those metaphysical questions connected with the growth and development of mathematical ideas, to which my late venerated teacher paid such particular attention.
My own part of the book (including mainly Chap. X. And worked out Examples 10 - 24 in Chap. IX.) was written hurriedly, and while I was deeply engaged with work of a very different kind so that I had no hesitation in determining to re-cast it where I fancied I could improve it.
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1808-1879
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- PublisherForgotten Books
- Publication date2018
- ISBN 10 1332804357
- ISBN 13 9781332804351
- BindingPaperback
- LanguageEnglish
- Number of pages296
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Introduction to Quaternions: With Numerous Examples (Classic Reprint)
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Paperback. Condition: New. Print on Demand. This book delves into the fascinating realm of quaternions, a mathematical system that revolutionized our understanding of vectors and rotations in three-dimensional space. Building upon the foundations of arithmetic, algebra, and geometry, it introduces the concept of vectors as representations of both magnitude and direction. Emerging in the 19th century as a response to limitations in traditional mathematical approaches, this book showcases the groundbreaking work of mathematicians who dared to challenge established norms. By discarding the commutative law of multiplication, it opened doors to new possibilities in understanding spatial relationships and transformations. The author expertly guides readers through the fundamental principles of quaternion operations, including addition, subtraction, and multiplication. The book explores the geometric applications of quaternions, delving into the equations of lines, planes, circles, spheres, and ellipses. It unravels the complexities of rotations and spatial relationships, offering a powerful tool for visualizing and manipulating objects in three-dimensional space. This book's insights into quaternions provide a deeper understanding of the interplay between algebra and geometry, paving the way for advancements in fields ranging from physics and engineering to computer graphics and robotics. This book is a reproduction of an important historical work, digitally reconstructed using state-of-the-art technology to preserve the original format. In rare cases, an imperfection in the original, such as a blemish or missing page, may be replicated in the book. print-on-demand item. Seller Inventory # 9781332804351_0
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Introduction to Quaternions
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Introduction to Quaternions With Numerous Examples Classic Reprint
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PAP. Condition: New. New Book. Shipped from UK. Established seller since 2000. Seller Inventory # LW-9781332804351
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Introduction to Quaternions: With Numerous Examples (Classic Reprint)
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Paperback. Condition: Brand New. 296 pages. 9.02x5.98x0.63 inches. This item is printed on demand. Seller Inventory # zk1332804357
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