In this textbook the authors present first-year geometry roughly in the
order in which it was discovered. The first five chapters show how the
ancient Greeks established geometry, together with its numerous
practical applications, while more recent findings on Euclidian geometry
are discussed as well. The following three chapters explain the
revolution in geometry due to the progress made in the field of algebra
by Descartes, Euler and Gauss. Spatial geometry, vector algebra and
matrices are treated in chapters 9 and 10. The last chapter offers an
introduction to projective geometry, which emerged in the
19thcentury.
Complemented by numerous examples, exercises, figures and pictures, the
book offers both motivation and insightful explanations, and provides
stimulating and enjoyable reading for students and teachers alike.