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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Discover a bold extension of algebra that brings geometry and calculation together. This accessible introduction to quaternions explains how a powerful new system extends ordinary arithmetic, with clear aims to help readers become proficient in a beautiful, practical branch of mathematics.

The book presents its subject as a collaborative effort, drawing on the writings of Hamilton and the work of Tait, and is written for readers who want to move beyond theory to real understanding. It emphasizes first principles, self-contained problems, and a single, coherent method for mastering a wide range of results. The initial chapters build a solid foundation, while the final chapter expands toward applications in geometry and physics.

Learn the core definitions and operations that underlie quaternions.

See how the subject unifies diverse results through a single, uniform approach.

Explore worked examples and problems that illuminate the underlying ideas.

Gain insight into how quaternions connect to geometry and practical applications.

Ideal for readers who want a clear, practice‑oriented path into a foundational area of mathematics and its applications.

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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