Computational Linear Algebra(Textbooks in Mathematics)

计算线性代数:附应用程序与MATLAB®计算

代数学

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作      者
出  版 社
出版时间
2023年03月14日
装      帧
精装
ISBN
9781032302461
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页      码
288
开      本
234 x 156 mm (6.14 x 9.21
语      种
英文
版      次
1
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图书简介
Courses on linear algebra and numerical analysis need each other. Often NA courses have some linear algebra topics, and LA courses mention some topics from numerical analysis/scientific computing. This text merges these two areas into one introductory undergraduate course. It assumes students have had multivariable calculus. A second goal of this text is to demonstrate the intimate relationship of linear algebra to applications/computations.A rigorous presentation has been maintained. A third reason for writing this text is to present, in the first half of the course, the very important topic on singular value decomposition, SVD. This is done by first restricting consideration to real matrices and vector spaces. The general inner product vector spaces are considered starting in the middle of the text.The text has a number of applications. These are to motivate the student to study the linear algebra topics. Also, the text has a number of computations. MATLAB, is used, but one could modify these codes to other programming languages. These are either to simplify some linear algebra computation, or to model a particular application.
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