Introduction to Linear Spaces

Author: Ye Mingxun
Publisher:
Publish Date: 2002-02-01
Features: This book consists of nine chapters. The first two chapters introduce the basic theory of linear spaces using groups, rings, and fields. It then discusses matrix operations, matrix similarity, and linear equations in chapters 3, 5, and 4.6. Chapter 4 explores determinants using alternating multilinear forms. Chapter 9 delves deeper into the general theory of alternating multilinear forms. After chapter 6 on dual spaces, chapter 7 covers symmetric bilinear forms, discussing quadratic forms and Euclidean spaces, while chapter 8 deals with similar Hermitian forms. This is a linear algebra textbook based on the theory of linear spaces and linear transformations, written to facilitate teaching and self-study. It is suitable for teaching departments in comprehensive universities and normal universities, and can also serve as a reference for linear algebra courses in other institutions.