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Introduction to Quaternions (Classic Reprint): With Numerous Examples: With Numerous Examples (Classic Reprint) - Tapa blanda
Sinopsis
Master a beautiful, practical way to handle rotations and spaces with quaternions.
Philip Kelland’s Introduction to Quaternions introduces a powerful extension of algebra that helps you understand spatial operations the way scientists and engineers do. The book explains how quaternions relate to vectors and how they can simplify problems in geometry and physics. It is written to be accessible to those new to the topic while drawing on the author’s experience teaching the subject.
- Learn the basic definitions and the key ideas behind quaternions and their operations.
- See how quaternions connect with vectors and how to apply them to problems in space.
- Explore worked examples and explanations that build intuition rather than rely on abstract jargon.
- Discover the historical context and the practical aims of introducing quaternions into elementary mathematics.
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Reseña del editor
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.
About the Publisher
Forgotten Books publishes hundreds of thousands of rare and classic books. Find more at www.forgottenbooks.com
This book is a reproduction of an important historical work. Forgotten Books uses state-of-the-art technology to digitally reconstruct the work, preserving the original format whilst repairing imperfections present in the aged copy. In rare cases, an imperfection in the original, such as a blemish or missing page, may be replicated in our edition. We do, however, repair the vast majority of imperfections successfully; any imperfections that remain are intentionally left to preserve the state of such historical works.
Reseña del editor
Excerpt from Introduction to Quaternions: With Numerous Examples
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.
About the Publisher
Forgotten Books publishes hundreds of thousands of rare and classic books. Find more at www.forgottenbooks.com
This book is a reproduction of an important historical work. Forgotten Books uses state-of-the-art technology to digitally reconstruct the work, preserving the original format whilst repairing imperfections present in the aged copy. In rare cases, an imperfection in the original, such as a blemish or missing page, may be replicated in our edition. We do, however, repair the vast majority of imperfections successfully; any imperfections that remain are intentionally left to preserve the state of such historical works.
"Sobre este título" puede pertenecer a otra edición de este libro.
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Introduction to Quaternions: With Numerous Examples (Classic Reprint)
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Paperback. Condición: 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. Nº de ref. del artículo: 9781332804351_0
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Introduction to Quaternions
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PAP. Condición: New. New Book. Shipped from UK. Established seller since 2000. Nº de ref. del artículo: LW-9781332804351
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Introduction to Quaternions: With Numerous Examples (Classic Reprint)
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Paperback. Condición: Brand New. 296 pages. 9.02x5.98x0.63 inches. This item is printed on demand. Nº de ref. del artículo: zk1332804357
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