Affine geometry and quadrics are fascinating subjects alone but they are also important
applications of linear algebra. They give a first glimpse into the world of algebraic geometry
yet they are equally relevant to a wide range of disciplines such as engineering. This text
discusses and classifies affinities and Euclidean motions culminating in classification results
for quadrics. A high level of detail and generality is a key feature unmatched by other books
available. Such intricacy makes this a particularly accessible teaching resource as it requires
no extra time in deconstructing the author's reasoning. The provision of a large number of
exercises with hints will help students to develop their problem solving skills and will also
be a useful resource for lecturers when setting work for independent study. Affinities
Euclidean Motions and Quadrics takes rudimentary and often taken-for-granted knowledge and
presents it in a new comprehensive form. Standard and non-standard examples are demonstrated
throughout and an appendix provides the reader with a summary of advanced linear algebra facts
for quick reference to the text. All factors combined this is a self-contained book ideal for
self-study that is not only foundational but unique in its approach.' This text will be of use
to lecturers in linear algebra and its applications to geometry as well as advanced
undergraduate and beginning graduate students.
