Introduction to Linear Algebra, 5/e (英國原版)
暫譯: 線性代數導論,第5版 (英國原版)

Gilbert Strang

  • 出版商: Cambridge
  • 出版日期: 2021-07-31
  • 售價: $3,500
  • 貴賓價: 9.5$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
  • 立即出貨(限量) (庫存=10)

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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)的學生必須學習的內容。這本極受歡迎的教科書第五版保留了早期版本的質量,同時也進行了許多小的改進和重大新增。這些新增內容包括:一個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;一個修訂過的線性代數計算章節,提供專業級的演算法和可供多種語言下載的程式碼;一個關於線性代數與密碼學的新部分;以及一個關於線性代數在機率和統計中的應用的新章節。專門的活躍網站還提供練習題的解答以及來自許多不同來源的新練習題(例如,練習問題、考試、教科書範例的發展),並提供 MATLAB、Julia 和 Python 的程式碼。

作者簡介

Gilbert StrangMassachusetts 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)

吉爾伯特·斯特朗麻省理工學院

吉爾伯特·斯特朗是麻省理工學院的數學教授,他的研究專注於分析、線性代數和偏微分方程(PDEs)。他是多本教科書的作者,並且在數學社群中貢獻良多。他曾擔任美國工業與應用數學學會(SIAM)會長,以及數學聯合政策委員會的主席,並且是其他多個委員會和董事會的成員。他因其研究和教學獲得多項獎項,包括喬文內獎(Chauvenet Prize,1976年)、傑出服務獎(SIAM,2003年)、麻省理工學院研究生教學獎(2003年)以及冯·諾依曼獎章(美國計算力學協會,2005年)等。他是美國國家科學院的成員、美國藝術與科學學院的院士,以及牛津大學巴利奧爾學院的榮譽院士。

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. 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.