Affine Maps, Euclidean Motions and Quadrics(Reventós Tarrida)

series:Springer Undergraduate Mathematics Series

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 …