Advanced Algebra and Geometry

Author: Pan Yanzhong
Publisher:
Publish Date: 1999-10-01
Features: This book primarily includes topics such as polynomials in one variable, matrix theory, the theory of linear equations, vector spaces, inner product spaces, linear transformations, and the theory of similar canonical forms. It also covers the theory of symmetric bilinear functions and quadratic forms and their applications, affine geometry, Euclidean geometry theory, and introduces the theory of algebraic systems and projective geometry. The entire book is organized with the perspective and language of modern mathematics, integrating all fundamental theories and content of advanced algebra and advanced geometry, fully reflecting their independence and unity, making algebra and geometry organically become one. This book can serve as a textbook or teaching reference for mathematics majors in science and engineering colleges, covering advanced algebra and advanced geometry (including spatial analytical geometry).