Geometry by Its History

Alexander Ostermann, Gerhard Wanner

The writers of this textbook present first-year geometry in roughly the order in which different aspects of the subject were discovered. In the first five chapters, we explore how ancient Greeks founded geometry and its countless practical uses. We then move on to discuss more modern discoveries in Euclidean geometry. Descartes, Euler, and Gauss all made significant contributions to the science of algebra, and these three chapters will illustrate how those contributions led to a revolution in geometry. Both chapter 9 and chapter 10 cover topics related to matrices, vector algebra, and spatial geometry. The final chapter provides a primer on projective geometry developed in the 19th century.

This book, accompanied by a plethora of examples, exercises, figures, and photographs, inspires readers with insightful explanations. It is an engaging and delightful read for both students and instructors.