Linear algebra is relatively easy for students during the early stages of the course, when the material is presented in a familiar, concrete setting. But when abstract concepts are introduced, students often hit a brick wall. Instructors seem to agree that certain concepts (such as linear independence, spanning, subspace, vector space, and linear transformations), are not easily understood, and require time to assimilate. Since they are fundamental to the study of linear algebra, students' understanding of these concepts is vital to their mastery of the subject. Lay introduces these concepts early in a familiar, concrete Rn setting, develops them gradually, and returns to them again and again throughout the text. Finally, when discussed in the abstract, these concepts are more accessible. It includes easily identifiable Matlab icons in the margins next to Matlab examples and exercises and a CD-Rom bound in the back of the book includes additional Matlab exercises and programs. Instructor's Edition now includes selected solutions and MyMathLab. In this book fundamental ideas of linear algebra are introduced within the first seven lectures, in the concrete setting of Rn, and then gradually examined from different points of view. Later generalizations of these concepts appear as natural extensions of familiar ideas. The focus is on visualization of concepts throughout the book and it has icons in the margins to flag topics for which expanded or enhanced material is available on the Web; a modern view of matrix multiplication is presented. Definitions and proofs focus on the columns of a matrix rather than on the matrix entries; Numerical Notes give a realistic flavor to the text. Students are reminded frequently of issues that arise in the real-life use of linear algebra; and each major concept in the course is given a geometric interpretation because many students learn better when they can visualize an idea.
David C. Lay 在美国加利福尼亚大学获得硕士和博士学位。他是马里兰大学帕克学院数学系教授,同时还是阿姆斯特丹大学、阿姆斯特丹自由大学和德国凯泽斯劳滕大学的访问教授。Lay教授是“线性代数课程研究小组”的核心成员,发表了30多篇关于泛函分析和线性代数方面的论文,并与他人合著有多部数学教材。
在几种线性代数入门教材中我想这是最适合中国普通学生的了,抽象能力好的入门可以看linear algebra done right (修改这一部分,抽象能力好的不应该看linear algebra done right这本,这本其实真不好的,抽象能力好的我推荐gelfand的线性代数学(lecture notes on algebra) 或者...
评分这周的作业有马尔科夫链和状态转移矩阵。最后变换为求解三元和四元的微分方程组的特解。 一类解法是拉普拉斯变换之后分离s和x(t),再使用逆变换。很不幸的是我功力尚浅,变换之后得到了一个满秩的齐次线性方程组。显然求解不下去。 另一种方法是矩阵的特征值和特征向量,相应的...
评分这是我发现的第三本台湾交大的使用教材。。和他们的OCourse相符。。。大家如果觉得看书太腻,就请结合一下台湾的OCourse视频来学吧。 网址:http://ocw.nctu.edu.tw/riki_detail.php?pgid=50&cgid=12 (不好意思,教材是有偏差,不過聽課還是幫助蠻大的,課程的順序也基本一樣)
评分看过这本书里边矩阵的内容还有矩阵在计算机图形学里边的应用部分之后感觉对于计算机图形学豁然开朗. 我没有很深入的看这本书.只看了一些基本运算和概念,作了一些前面的题目.对于我学计算机技术已经够了.
评分PCA这么重要的东西应该与SVD一样专门写一段,而不是放在“7.5 图像处理和统计学中的应用”底下当成普通例子来写。虽然这里PCA写的是真清晰真透彻,秒杀网上无数介绍。另外,SVD讲的太简略了,看完公式也抓不住本质。最好加入几何理解角度,并谈谈与PCA的异同。
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