Introduction to Quaternions: With Numerous Examples (Classic Reprint) - Softcover

P. Kelland

 
9781527853331: Introduction to Quaternions: With Numerous Examples (Classic Reprint)

Synopsis

This book delves into the fascinating evolution of mathematical thought, specifically focusing on the groundbreaking field of Quaternions. It traces the journey from fundamental arithmetic, through the liberation of algebra, and into the realm of geometry enhanced by the concept of motion. The author highlights the pivotal role of mathematicians like Diophantus, Descartes, and Lagrange, who paved the way for the development of this new science. Central to the book's exploration is the revolutionary idea of separating addition from multiplication, allowing each to represent distinct types of motion. This departure from traditional algebraic principles, particularly the commutative law, opened doors to a new understanding of mathematical operations and their geometric interpretations. The book delves into the concept of vectors, their addition and subtraction, and their crucial role in representing motion and direction in three-dimensional space. Readers will gain insights into the profound implications of Quaternions in bridging the gap between abstract algebraic concepts and their tangible geometric counterparts. The book's exploration of mathematical innovation and its historical context provides a captivating journey for those seeking a deeper understanding of the evolution of mathematical thought. Ultimately, this book illuminates the power of challenging established norms in the pursuit of new frontiers of knowledge, revealing the elegance and far-reaching impact of Quaternions on the world of mathematics.

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