Lectures On Quaternions Containing A Systematic Statement Of A New Mathematical Method Of Which The Principles Were Communicated In 1843 To The Royal Irish Academy And Which Has Since Formed The Subject Of Successive Courses Of Lectures Delivered In 1848 And Subsequent Years In The Halls Of Trinity College Dublin

Lectures on Quaternions: Containing a Systematic Statement of a New Mathematical Method; ... with Numerous Illustrative Diagrams, and ... Geometrical and Physical Applications

Lectures on Quaternions

Real Quaternionic Calculus Handbook

Real quaternion analysis is a multi-faceted subject. Created to describe phenomena in special relativity, electrodynamics, spin etc., it has developed into a body of material that interacts with many branches of mathematics, such as complex analysis, harmonic analysis, differential geometry, and differential equations. It is also a ubiquitous factor in the description and elucidation of problems in mathematical physics. In the meantime real quaternion analysis has become a well established branch in mathematics and has been greatly successful in many different directions. This book is based on concrete examples and exercises rather than general theorems, thus making it suitable for an introductory one- or two-semester undergraduate course on some of the major aspects of real quaternion analysis in exercises. Alternatively, it may be used for beginning graduate level courses and as a reference work. With exercises at the end of each chapter and its straightforward writing style the book addresses readers who have no prior knowledge on this subject but have a basic background in graduate mathematics courses, such as real and complex analysis, ordinary differential equations, partial differential equations, and theory of distributions.