Introduction to Linear Algebra

Format Hardback | 440 pages

Dimensions 196 x 242 x 25mm | 900g

Publication date 31 Jan 2023

Publisher Wellesley-Cambridge Press,U.S.

Publication City/Country Wellesley, United States

Language English

ISBN10 1733146679

ISBN13 9781733146678

内容简介

线性代数是所有数学系本科生和许多其他学生，从工程到经济等学科，都必须学习的内容。这本非常成功的教科书的第五版保留了前几版的质量，同时又有许多小的改进和大的补充。后者包括：关于奇异值和奇异向量的新章节，包括分析数据矩阵的方法；关于线性代数计算的修订章节，包括专业水平的算法和可以下载各种语言的代码；关于线性代数和密码学的新章节；以及关于概率和统计中的线性代数的新章节。一个专门的、活跃的网站还提供了习题的解决方案，以及来自许多不同来源的新习题（如练习题、考试、教科书例子的开发），另外还有MATLAB、Julia和Python的代码。

本书第五版包含许多小的改进和主要的补充内容

提供了关于奇异值和奇异向量的新章节，以及关于线性代数计算的修订章节

一个专门的、活跃的网站提供了习题的解决方案，来自多个来源的新习题，以及MATLAB、Julia和Python中的代码。

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.

This fifth edition contains numerous minor improvements and major additions

Provides a new chapter on singular values and singular vectors, as well as a revised chapter on computing in linear algebra

A dedicated and active website offers solutions to exercises, new exercises from several sources, and codes in MATLAB, Julia, and Python

媒体推荐

'Undergraduate mathematics textbooks are not what they used to be, and Gilbert Strang's superb new edition of Introduction to Linear Algebra is an example of everything that a modern textbook could possibly be, and more … the writing is engaging and personal, and the presentation is exceptionally clear and informative (even seasoned instructors may benefit from Strang's insights) … I would like to stress that there is a richness to the material that goes beyond most texts at this level.' Douglas Farenick, Bulletin of the International Linear Algebra Society 

作者简介

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. 

目录

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.