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。
在学习的同时,知道很多应用实例,记忆非常深刻。 学完这本书,对线性代数的应用可以到一定的广度的了解 但是学完国内一般的线性代数教材,觉得还是非常虚幻。强烈建议国内大学实用。
评分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...
评分作者在开篇就给了线性代数一个很新奇的定义:“从某种意义上说,线性代数是一门语言,你要像对待外语一样,每天都学。”书中有大量的应用实例,内容结构安排的很好,前几章就引入子空间,向量,线性变换的概念,还介绍了一下线性代数的核心思想和研究内容,而后面几章的内容都...
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