Synopsis
Step into the fascinating world of 19th-century mathematics with this exploration of quaternions, a groundbreaking concept that expanded the understanding of vectors and their applications in three-dimensional space. This treatise delves into the depths of vector analysis, guiding the reader through a comprehensive journey of mathematical discovery. The author meticulously constructs a framework for understanding vectors and quaternions, beginning with fundamental principles and progressing to more intricate applications. The book is divided into three distinct sections, each dedicated to a core concept: vectors in space, quaternions as quotients of vectors, and quaternions as products or powers of vectors. Numerous examples and applications illustrate the concepts, providing a practical context for theoretical discussions. This work stands as a testament to the author's dedication to mathematical advancement. It offers valuable insights into the evolution of mathematical thought during a pivotal era. The author's exploration of quaternions and their applications opened new avenues for understanding the complexities of three-dimensional space, leaving a lasting impact on the field of mathematics.
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Book Description
Sir William Rowan Hamilton (1805-65) was a distinguished Irish mathematician who worked in the fields of classical mechanics, optics and algebra, as well as in physics and astronomy. He first described quaternions in 1843, and devoted much of his subsequent life to studying and lecturing on the concept.
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Elements of Quaternions (Classic Reprint)
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Paperback. Condition: New. Print on Demand. Step into the fascinating world of 19th-century mathematics with this exploration of quaternions, a groundbreaking concept that expanded the understanding of vectors and their applications in three-dimensional space. This treatise delves into the depths of vector analysis, guiding the reader through a comprehensive journey of mathematical discovery. The author meticulously constructs a framework for understanding vectors and quaternions, beginning with fundamental principles and progressing to more intricate applications. The book is divided into three distinct sections, each dedicated to a core concept: vectors in space, quaternions as quotients of vectors, and quaternions as products or powers of vectors. Numerous examples and applications illustrate the concepts, providing a practical context for theoretical discussions. This work stands as a testament to the author's dedication to mathematical advancement. It offers valuable insights into the evolution of mathematical thought during a pivotal era. The author's exploration of quaternions and their applications opened new avenues for understanding the complexities of three-dimensional space, leaving a lasting impact on the field of mathematics. 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 # 9780282373061_0
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