Synopsis
Explore the power and beauty of quaternions, from the basics of vector addition to their role in geometry and dynamics. This accessible introduction builds from fundamental ideas to advanced topics, showing how quaternions provide a unifying calculus for motion, shapes, and physical interpretation.
The book traces the development of quaternion concepts through historical context and practical methods, guiding you from core definitions to concrete applications in projective geometry, cones, tangent planes, and conic sections. It emphasizes a single, coherent approach to a wide range of problems, balancing theory with hands-on technique.
- Clear explanations of vectors, versors, and their multiplication rules in the quaternion framework
- Connections between algebra, geometry, and dynamics, including the role of differentiation and the nabla operator
- Step-by-step treatment of cones, tangent planes, and conic sections using quaternion analysis
- Illustrative pathways to applications in mathematical physics and geometry
Ideal for curious readers of classical mathematics who want a solid, readable path into quaternions and their powerful tools.
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1808-1879
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Introduction to Quaternions (Classic Reprint)
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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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