Introduction to Geometry and Algebra

Author: Hu Guoquan
Publisher:
Publish Date: 2006-09-01
Features: This book covers the teaching content of "Advanced Algebra" and "Analytic Geometry." The entire book is divided into 8 chapters, discussing the following topics: Vectors, Planes, and Lines; Quadric Surfaces and Coordinate Transformations; Linear Spaces and Linear Mappings; Matrices, Linear Systems of Equations, and Determinants; Polynomials; Linear Transformations; Bilinear Forms and Euclidean Spaces; Affine Spaces and Projective Spaces. The book strives to reflect the intrinsic connection between geometry and algebra, emphasizing the perspective of linear spaces and linear mappings, highlighting the threads of vectors, coordinates, and standard forms, and focusing on cultivating students' abstract thinking and spatial imagination skills. This book can be used as a textbook or teaching reference for mathematics and related majors in higher education institutions.