Analytic Geometry, a key textbook for the "Ninety-Five" Project of the Ministry of Education in the field of general higher education

Author: You Chengye
Publisher:
Publish Date: 2004-01-01
Features: This book is an introductory textbook for studying geometry. It not only explains the basic content and methods of spatial analytical geometry (vector algebra, affine coordinate systems, lines and planes in space, common surfaces, etc.), but also covers the fundamental content and ideas of affine geometry (affine coordinate transformations, affine theory of quadratic curves, affine transformations, and distance-preserving transformations, etc.). Additionally, it introduces the basic knowledge of projective geometry, providing a comprehensive reflection of the scope of the geometry course. The book is divided into five chapters, each accompanied by a certain number of exercises. At the end of the book, there are answers and hints to the exercises, facilitating in-depth study or self-study for readers. This book emphasizes the education of geometric thinking, highlighting the integration of shapes and numbers. In terms of methodology, it emphasizes the balance between analytical and synthetic approaches. The content is arranged in an "example-theory-application" format, making it clear and easy to understand. The selection of content takes into account the teaching needs of various types of universities, ensuring broad applicability. The book is well-written, logically rigorous, and clearly explained in an accessible manner. Therefore, it is a distinctive and widely welcomed textbook for analytical geometry courses among universities. It can serve as a textbook for mathematics and physics departments, as well as related disciplines in comprehensive universities and normal universities. It is also an appropriate supplementary reading or reference book for university students and other readers interested in geometry.