Introduction to Linear Algebra, 5/e (美國原版)

Gilbert Strang

Introduction to Linear Algebra, 5/e (美國原版)
  • 出版商: Cambridge
  • 出版日期: 2021-07-31
  • 售價: $3,500
  • 貴賓價: 9.5 折 $3,325
  • 語言: 英文
  • 頁數: 584
  • 裝訂: Hardcover
  • ISBN: 1733146652
  • ISBN-13: 9781733146654
  • 相關分類: 線性代數 Linear-algebra

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商品描述

Linear algebra is something all mathematics undergraduates and many other students, in subjects ranging from engineering to economics, have to learn. The fifth edition of this hugely successful textbook retains the quality of earlier editions while at the same time seeing numerous minor improvements and major additions. The latter include: a new chapter on singular values and singular vectors, including ways to analyze a matrix of data; a revised chapter on computing in linear algebra, with professional-level algorithms and code that can be downloaded for a variety of languages; a new section on linear algebra and cryptography; and a new chapter on linear algebra in probability and statistics. A dedicated and active website also offers solutions to exercises as well as new exercises from many different sources (e.g. practice problems, exams, development of textbook examples), plus codes in MATLAB, Julia, and Python.

商品描述(中文翻譯)

線性代數是所有數學本科生以及許多其他學科（從工程到經濟學）的學生都必須學習的內容。這本極為成功的教科書的第五版在保留早期版本的質量的同時，進行了許多小的改進和重大的增加。其中包括：關於奇異值和奇異向量的新章節，包括分析數據矩陣的方法；修訂的線性代數計算章節，提供專業級算法和可下載的代碼，適用於多種語言；關於線性代數和密碼學的新節；以及關於概率和統計中的線性代數的新章節。此外，還有一個專門的活躍網站，提供練習題的解答以及來自多個不同來源（例如練習問題、考試、教科書示例的開發）的新練習題，以及MATLAB、Julia和Python的代碼。

作者簡介

Gilbert Strang, Massachusetts Institute of Technology
Gilbert Strang is a professor of mathematics at the Massachusetts Institute of Technology, where his research focuses on analysis, linear algebra and PDEs. He is the author of many textbooks and his service to the mathematics community is extensive. He has spent time both as President of SIAM and as Chair of the Joint Policy Board for Mathematics, and has been a member of various other committees and boards. He has received several awards for his research and teaching, including the Chauvenet Prize (1976), the Award for Distinguished Service (SIAM, 2003), the Graduate School Teaching Award (Massachusetts Institute of Technology, 2003) and the Von Neumann Prize Medal (US Association for Computational Mechanics, 2005), among others. He is a Member of the National Academy of Sciences, a Fellow of the American Academy of Arts and Sciences, and an Honorary Fellow of Balliol College, Oxford.

作者簡介(中文翻譯)

Gilbert Strang，麻省理工學院數學教授。他的研究專注於分析、線性代數和偏微分方程。他是許多教科書的作者，並且在數學界的服務非常廣泛。他曾擔任SIAM（美國工業與應用數學學會）主席和聯合政策委員會主席，並且是其他各種委員會和董事會的成員。他因其研究和教學而獲得了多個獎項，包括Chauvenet獎（1976年）、傑出服務獎（SIAM，2003年）、研究生教學獎（麻省理工學院，2003年）和Von Neumann獎章（美國計算力學協會，2005年）等。他是美國國家科學院院士、美國藝術與科學院院士，以及牛津大學巴利奧爾學院的名譽院士。

目錄大綱

1. Introduction to vectors
2. Solving linear equations
3. Vector spaces and subspaces
4. Orthogonality
5. Determinants
6. Eigenvalues and eigenvectors
7. The singular value decomposition (SVD)
8. Linear transformations
9. Complex vectors and matrices
10. Applications
11. Numerical linear algebra
12. Linear algebra in probability and statistics
Matrix factorizations
Index
Six great theorems/linear algebra in a nutshell.

目錄大綱(中文翻譯)

1. 向量介紹
2. 解線性方程組
3. 向量空間和子空間
4. 正交性
5. 行列式
6. 特徵值和特徵向量
7. 奇異值分解 (SVD)
8. 線性變換
9. 複數向量和矩陣
10. 應用
11. 數值線性代數
12. 概率和統計中的線性代數
矩陣分解
索引
六個重要定理/線性代數概述。

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