Advanced Algebra and Analytic Geometry (Part 2)

Author: Meng Daoji
Publisher:
Publish Date: 2002-03-01
Features: This book is divided into two volumes. Chapter 1 discusses polynomial theory. Chapter 2 introduces determinants, including Cramer's rule for solving systems of linear equations using determinants. Chapter 3 covers matrices, focusing on matrix computations, elementary transformations, and the relationship between matrices and linear equations. Chapter 4 introduces linear spaces. Chapter 5 introduces linear transformations. Chapter 6, λ-matrices, is designed to discuss complex linear transformations. Chapter 7 introduces Euclidean spaces. Chapter 8 covers bilinear functions and quadratic forms. Chapter 9 discusses quadratic surfaces. Chapter 10 introduces affine geometry and projective geometry. This book is accompanied by a rich set of exercises.