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Synopsis
Explore how quaternions connect vectors, versors, and dynamics in one cohesive framework.
This unified introduction shows how a single method can illuminate geometry, algebra, and physical applications.
The book presents quaternions as a powerful tool for both theory and application. It emphasizes a clear, step-by-step approach to the vector laws, the associative rules in products, and the calculus needed to use quaternions in dynamics and geometry. Readers will find discussions that bridge pure mathematics with practical ideas in physics and geometry, including topics like tangent planes, conic sections, and projective geometry.
- See how vector addition and quaternion multiplication relate across different quantities and settings.
- Learn how conic sections emerge from quaternion-based descriptions of surfaces and curves.
- Explore tangent planes, linear vector functions, and self-conjugate operations in a geometric context.
- Gain insight into the dynamic interpretation of quaternions and their place in broader mathematical structures.
Ideal for readers seeking a solid, accessible path to quaternions and their geometric and physical applications.
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1808-1879
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Introduction to Quaternions (Classic Reprint)
Print on DemandSeller: Forgotten Books, London, United Kingdom
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Paperback. Condition: New. Print on Demand. This book introduces readers to the study of quaternions, a powerful mathematical concept developed by Sir William Rowan Hamilton in the nineteenth century. Expanding on geometric algebra, this mathematical system extends the real numbers by introducing imaginary numbers of a higher degree, known as quaternions. The author presents the standard topics of quaternion analysis with an emphasis on geometric representation, providing readers with a comprehensive understanding of the subject. The book begins with an introduction to vectors and explains how they can be represented using quaternions. It then explores linear vector functions, exploring the related topics of rotations, finite rotations, and infinitesimal rotations. The book concludes with a discussion of applications of quaternions to dynamics, showing their practical utility in areas such as physics and engineering. 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 # 9781330200711_0
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Introduction to Quaternions (Classic Reprint)
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PAP. Condition: New. New Book. Shipped from UK. Established seller since 2000. Seller Inventory # LW-9781330200711
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Introduction to Quaternions (Classic Reprint)
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PAP. Condition: New. New Book. Shipped from UK. Established seller since 2000. Seller Inventory # LW-9781330200711
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