Introduction to Quaternions: With Numerous Examples is a book written by Philip Kelland and first published in 1873. The book provides a comprehensive introduction to quaternions, a mathematical concept that extends the idea of complex numbers to four dimensions. The book begins with an overview of the history of quaternions and their application in various fields, including mechanics, physics, and geometry. Kelland then introduces the basic concepts of quaternions, including their algebraic properties and geometric interpretation. The book is divided into chapters that cover different aspects of quaternions, such as multiplication, division, and conjugation. Kelland provides numerous examples throughout the text to help readers understand the concepts and their applications. The book also includes a section on the use of quaternions in mechanics, where Kelland explains how they can be used to represent rotations and orientations of rigid bodies. Introduction to Quaternions: With Numerous Examples is a valuable resource for students and researchers in mathematics, physics, and engineering who are interested in learning about quaternions and their applications. The clear and concise explanations, along with the numerous examples, make it an accessible introduction to this important mathematical concept.This scarce antiquarian book is a facsimile reprint of the old original and may contain some imperfections such as library marks and notations. Because we believe this work is culturally important, we have made it available as part of our commitment for protecting, preserving, and promoting the world's literature in affordable, high quality, modern editions, that are true to their original work.