Groups: A Path to Geometry

R.P. Burn

“This text employs the same effective methodology as Dr. Burn’s earlier book on number theory and consists of a carefully crafted series of questions that will allow the reader to participate in learning all the group theories covered by a typical first-year university course. There is also an introduction to complex numbers, which leads to the study of Möbius transformations and stereographic projection, as well as an introduction to vector spaces, which leads to the study of linear groups. The book’s conclusion is a study of the crystallographic groups, with a thorough investigation of these groups in two dimensions. Quaternions and their links to 3-dimensional isometries are explored.”