Analytic geometry

Author: Song Weidong
Publisher:
Publish Date: 2003-12-01
Features: This book is divided into six chapters, providing a detailed explanation of vector algebra, spatial coordinate systems, planes and lines, several common surfaces and curves, the general theory of quadratic surfaces, and the fundamental theory of transformation groups and geometry. It introduces some key points of affine geometry and projective geometry in a concentrated and scattered manner, presents an alternative method for establishing geometry—the idea of Klein's transformation groups—and distinguishes the metric, affine, and projective properties of figures from the perspective of transformation groups. At the end of each chapter, there are "Concluding Remarks" and "Problems and Exercises," and hints or answers are provided at the end of the book. The text is fluent, the reasoning is clear, and the content is well-chosen. This book can be used as a textbook or reference book for mathematics majors in comprehensive universities, normal universities, teacher education colleges, and other institutions.
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Chapter 1: Vector Algebra
Chapter 2: Spatial Coordinate Systems
Chapter 3: Planes and Lines
Chapter 4: Several Common Surfaces and Curves
Chapter 5: The General Theory of Quadratic Surfaces
Chapter 6: Transformation Groups and Geometry
Partial Answers and Hints for Exercises