This textbook offers an invitation to modern algebra through number systems of increasing complexity, beginning with the natural numbers and culminating with Ha

Ever since the Irish mathematician William Rowan Hamilton introduced quaternions in the nineteenth century--a feat he celebrated by carving the founding equatio

Introduced 160 years ago as an attempt to generalize complex numbers to higher dimensions, quaternions are now recognized as one of the most important concepts

This book investigates the geometry of quaternion and octonion algebras. Following a comprehensive historical introduction, the book illuminates the special pro

Quaternions are a number system that has become increasingly useful for representing the rotations of objects in three-dimensional space and has important appli