Space analytical geometry and differential geometry

Author: Huang Xuanguo
Publisher:
Publish Date: 2003-09-01
Features: In the undergraduate stages of university mathematics and physics, Space Analytic Geometry and Differential Geometry are two important geometric courses. The Space Analytic Geometry part of this book includes vectors, planes and lines, quadratic surfaces, isometric transformations, orthogonal transformations, affine transformations, and projective planes, among others; the Differential Geometry part covers local curve theory, global curve theory, and local surface theory, among others. The book is divided into two parts, with a total of 10 chapters, each chapter consisting of: basic requirements and main content; basic problem types; in-depth thinking. The book introduces the main content of Space Analytic Geometry and Differential Geometry in a step-by-step manner, providing solutions to most of the difficult problems found in popular domestic textbooks on the subject, while also touching on some more advanced content. Each part includes a substantial number of mock exam questions for readers to practice. This book is not only useful for students just starting university to learn Space Analytic Geometry but also beneficial for senior undergraduate students studying Differential Geometry, as well as for university students aspiring to take the postgraduate entrance exams in mathematics or physics.