Vector analysis and quaternions

Alexander Macfarlane's "Vector Analysis and Quaternions" is a mathematical textbook intended to introduce the reader to the fundamental principles of both Vector Analysis and Quaternions. Beginning with the definition, components, and operations of vectors, the book details the application of scalar and vector products to geometry and physics. After examining the composition of vectors in the plane and in space, it transitions to Quaternions, emphasizing their relation to vectors, their nature as mathematical operators, and their utility in solving physical problems (electric current, electromotive force, etc.); ultimately aiming to demonstrate the powerful and unified approaches these analytical tools offer for tackling complex issues in physics and geometry.