线性代数

Jim Hefferon 的《线性代数》 是第一门本科课程的教科书。这是免费的。将其用作主要书籍、补充书籍或用于独立学习。
强调
标准涵盖 线性系统和高斯方法、向量空间、线性映射和矩阵、行列式以及特征向量和特征值。
发展方法 这本书证明了所有的结果,但并没有假设学生已经能够进行抽象工作。相反,它以大量的动机、许多计算示例和许多练习来进行。目标是提高每个学生的数学成熟度。
广泛的练习集 每个小节都有广泛的练习,从常规验证到一些挑战。解决方案之书给出 了每个答案,完全有效。并且,单击问题会将您带到其答案,而单击答案会将您带回问题。
流行 在许多学校的数百个班级中使用,并被数千人用于独立学习。
应用 每章以四到五个简短的补充主题结束,供阅读、项目或小组作业使用。

Linear Algebra by Jim Hefferon is a text for a first undergraduate course. It is Free. Use it as the main book, as a supplement, or for independent study.
Highlights
Standard coverage Linear systems and Gauss’s method, vector spaces, linear maps and matrices, determinants, and eigenvectors and eigenvalues.
Developmental approach The book proves all of the results but does not start by assuming that students are already able at abstract work. Instead, it proceeds with a great deal of motivation, many computational examples, and many exercises. The goal is to raise each student’s level of mathematical maturity.
Extensive exercise sets Each subsection has a wide range of exercises, from routine verifications to a few
https://hefferon.net/linearalgebra/