内容简介

《高等线性代数(第3版)》is a thorough introduction to linear algebra，for the graduate or advanced undergraduate student。 Prerequisites are limited to a knowledge of the basic properties of matrices and determinants。 However，since we cover the basics of vector spaces and linear transformations rather rapidly，a prior course in linear algebra （even at the sophomore level），along with a certain measure of "mathematical maturity," is highly desirable。1

图书目录

Preface to the Third Edition，vii

Preface to the Second Edition，ix

Preface to the First Edition，xi

Preliminaries

Part 1: Preliminaries

Part 2: Algebraic Structures

Part I-Basic Linear Algebra

1 Vector Spaces

Vector Spaces

Subspaces

Direct Sums

Spanning Sets and Linear Independence

The Dimension of a Vector Space

Ordered Bases and Coordinate Matrices

The Row and Column Spaces of a Matrix

The C0mplexification of a Real Vector Space