Introduction to Quaternions (Classic Reprint): With Numerous Examples - Couverture souple

Philip Kelland

9781332804351: Introduction to Quaternions (Classic Reprint): With Numerous Examples

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ISBN 10 : 1332804357 ISBN 13 : 9781332804351

Editeur : Forgotten Books, 2018

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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.

Ideal for curious readers who want a clear entry point into a rich mathematical tool, and for students seeking a gentle, structured approach to a classic topic.

Les informations fournies dans la section � Synopsis � peuvent faire r�f�rence � une autre �dition de ce titre.

�diteur: Forgotten Books
Date d'�dition: 2018
Langue: anglais
ISBN 10: 1332804357
ISBN 13: 9781332804351
Reliure: Broch�
Nombre de pages: 296
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Introduction to Quaternions: With Numerous Examples (Classic Reprint)

Philip Kelland, Peter Guthrie Tait

Edit� par Forgotten Books, 2018

ISBN 10 : 1332804357 ISBN 13 : 9781332804351

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Vendeur : Forgotten Books, London, Royaume-Uni

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Paperback. Etat : 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. N� de r�f. du vendeur 9781332804351_0

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