Computational Linear Algebra: With Applications and Matlab(r) Computations
暫譯: 計算線性代數:應用與 Matlab(r) 計算
White, Robert E.
- 出版商: CRC
- 出版日期: 2023-04-21
- 售價: $2,420
- 貴賓價: 9.5 折 $2,299
- 語言: 英文
- 頁數: 288
- 裝訂: Hardcover - also called cloth, retail trade, or trade
- ISBN: 1032302461
- ISBN-13: 9781032302461
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相關分類:
Matlab、線性代數 Linear-algebra
海外代購書籍(需單獨結帳)
相關主題
商品描述
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.
商品描述(中文翻譯)
課程中的線性代數與數值分析彼此需要。通常,數值分析課程會涵蓋一些線性代數的主題,而線性代數課程也會提到一些數值分析/科學計算的主題。本書將這兩個領域合併為一門入門的本科課程。它假設學生已經學過多變量微積分。本書的第二個目標是展示線性代數與應用/計算之間的密切關係。
本書保持了嚴謹的呈現方式。撰寫本書的第三個原因是在課程的前半部分介紹非常重要的主題——奇異值分解(singular value decomposition, SVD)。這是通過首先限制考慮實數矩陣和向量空間來實現的。一般的內積向量空間將在本書中段開始考慮。
本書有許多應用,這些應用旨在激勵學生學習線性代數的主題。此外,本書還包含了一些計算。使用 MATLAB,但可以將這些代碼修改為其他編程語言。這些計算要麼是為了簡化某些線性代數計算,要麼是為了模擬特定的應用。
作者簡介
Robert E. White is Professor Emeritus, North Carolina State University. He is also the author of Computational Mathematics: Models, Methods, Analysis with MATLAB(R) and MPI, second edition and Elements of Matrix Modeling and Computing with MATLAB(R), both published by CRC Press.
作者簡介(中文翻譯)
羅伯特·E·懷特是北卡羅來納州立大學的名譽教授。他也是《計算數學:模型、方法、分析與 MATLAB》(R) 和 MPI 的第二版以及《矩陣建模與計算的元素與 MATLAB》(R) 的作者,這兩本書均由 CRC Press 出版。