Euclidean plane and its relatives: A minimalist introduction

Posted By: lengen

Euclidean plane and its relatives: A minimalist introduction by Anton Petrunin
English | Aug. 7, 2017 | ISBN: 1974214168 | 199 Pages | PDF | 2 MB

The book is designed for a semester-long course in Foundations of Geometry and meant to be rigorous, conservative, elementary and minimalist.
This book is meant to be rigorous, conservative, elementary and minimalist. At the same time it includes about the maximum what students can absorb in one semester.
Approximately third of the material used to be covered in high school, not any more. The present book is based on the courses given by the author at the Pennsylvania State University as an introduction into Foundations of Geometry. The lectures were oriented to sophomore and senior university students. These students already had a calculus course. In particular, they are familiar with the real numbers and continuity. It makes it possible to cover the material faster and in a more rigorous way than it could be done in high school.