Methods of Geometry

Description

This book is a text for an upper-division general geometry course offered by many universities. It builds on knowledge gained in school and lower division university courses, to introduce advanced geometry, emphasizing transformations and symmetry groups in two and three dimensions. These theories underlay many fields of advanced mathematics, and are essential for application in science, engineering, and graphics. The book analyzes the content of the lower-level courses from an advanced standpoint, to lend prospective and in-service teachers insight into the structure of their subject as well as excitement about its beautiful methods and where they lead. Mathematical preparation for this course should include vector and matrix algebra and the solution of square and nonsquare linear systems.