Author: George David Birkhoff

Publisher: American Mathematical Society

Published: 2024-05-24

Total Pages: 298

ISBN-13: 1470477602

Offers a sound mathematical development … and at the same time enables the student to move rapidly into the heart of geometry. —The Mathematics Teacher Should be required reading for every teacher of geometry. —The Mathematical Gazette In this highly recommended high school text by two eminent scholars, the authors deduce plane Euclidean geometry by utilizing only five fundamental postulates. Incorporation of the system of real numbers in three of the five postulates of this geometry gives these assumptions great breadth and power. They lead the reader at once to the heart of geometry. It is because of the underlying power, simplicity, and compactness of this geometry that the authors called the book Basic Geometry. The book is designed for a one-year course in plane geometry. For advanced students, the authors incorporated certain material from three-dimensional and so-called modern geometry. A rich variety of exercises as well as many illustrations applying the abstract geometrical concepts to real life provide an excellent source of teaching material. A highly recommended high-school text by two eminent scholars.