Introduction to Quaternions - Softcover

Philip Kelland

 
9781332790333: Introduction to Quaternions

Synopsis

This book delves into the fascinating world of Quaternions, a mathematical system developed by Sir William Rowan Hamilton in the 19th century. The author, a dedicated student of Hamilton's work, presents Quaternions as an extension of traditional algebra, incorporating the idea of motion and transference alongside numerical operations. The text explores the historical context of this mathematical innovation, tracing its roots back to the limitations of earlier systems, such as Euclid's geometry and the development of fractions and algebra. The author emphasizes the importance of understanding how mathematical advancements arise from the removal of previously held restrictions, allowing for the expansion of existing frameworks. The book guides readers through the core principles of Quaternions, explaining the concepts of vector addition and subtraction, and introducing the groundbreaking idea of vector multiplication and division. Through clear examples and meticulous explanations, the author reveals the power and elegance of Quaternions, demonstrating how a single mathematical framework can be used to solve a wide range of problems in geometry and beyond. This book offers a unique and insightful exploration of the evolution of mathematical thought, showcasing how the removal of constraints can lead to new and powerful mathematical tools.

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About the Author

1808-1879

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