Higher Geometry

Author: Zhu Dexiang
Publisher:
Publish Date: 1998-01-01
Features: This book is revised based on the original lecture notes, following the teaching syllabus of "Advanced Geometry" in advanced normal schools and incorporating the author's years of teaching experience. To meet the needs of the mathematics department in advanced normal schools, an additional chapter on an introduction to the foundations of geometry is included. The book consists of nine chapters, which are: Basic Concepts of Affine Geometry, Extension of Euclidean Plane, One-Dimensional Projective Geometry, Desargues' Theorem, Quadrilaterals and Quadrilinear Systems, Projective Coordinates and Projective Transformations, Projective Properties of Conic Sections, Affine Properties of Conic Sections, Metric Properties of Conic Sections, Introduction to the Foundations of Geometry. This book can serve as a teaching reference for teachers and students in mathematics departments of advanced normal schools, advanced normal schools, education colleges, and other related institutions.