威廉·吉尔伯特·斯特朗：每个人的线性代数 Linear Algebra for Everyone

基本信息

Format:Hardback 368 pages, Worked examples or Exercises

Publisher:Wellesley-Cambridge Press,U.S.

Imprint:Wellesley-Cambridge Press,U.S.

ISBN:9781733146630

Published:26 Nov 2020

Weight:800g

Dimensions:197 x 243 x 21 (mm)

页面参数仅供参考，具体以实物为准

书籍简介

线性代数已成为各类定量学科的人们须了解的学科。 它不再是数学家和工程师的专属领域，现在在任何有数据的地方都使用它，并且每个使用数据的人都需要了解更多。 吉尔伯特·斯特朗 (Gilbert Strang) 教授是广受好评的《线性代数导论》的作者，这本新书现已出版第五版，它使每个人都能接触到线性代数，而不仅仅是那些具有深厚数学背景的人。 它需要一个更积极的开始，先找到小矩阵的独立列，从而引出线性组合以及秩和列空间的关键概念。 从那里开始，它继续讨论求解线性方程、正交性、线性变换和子空间的经典主题，所有这些主题都通过许多示例和练习进行了清晰的解释。 末后一个主要主题是特征值和重要的奇异值分解，并通过在微分方程和图像压缩中的应用进行说明。 末后一个可选章节探讨了深度学习背后的想法。

Linear algebra has become the subject to know for people in quantitative disciplines of all kinds. No longer the exclusive domain of mathematicians and engineers, it is now used everywhere there is data and everybody who works with data needs to know more. This new book from Professor Gilbert Strang, author of the acclaimed Introduction to Linear Algebra, now in its fifth edition, makes linear algebra accessible to everybody, not just those with a strong background in mathematics. It takes a more active start, beginning by finding independent columns of small matrices, leading to the key concepts of linear combinations and rank and column space. From there it passes on to the classical topics of solving linear equations, orthogonality, linear transformations and subspaces, all clearly explained with many examples and exercises. The last major topics are eigenvalues and the important singular value decomposition, illustrated with applications to differential equations and image compression. A final optional chapter explores the points behind deep learning.

作者简介

吉尔伯特·斯特朗 (Gilbert Strang) 获得博士学位。 从加州大学洛杉矶分校获得学士学位，此后他一直在麻省理工学院任教。 他曾是斯隆学者和仙童学者，并且是美国艺术与科学院院士。 他是麻省理工学院数学教授和贝利奥尔学院荣誉院士。 斯特朗教授出版了八本教科书。 他获得了美国计算力学协会的冯诺依曼奖章和应用分析奖。

Gilbert Strang received his Ph.D. from UCLA and since then he has taught at MIT. He has been a Sloan Fellow and a Fairchild Scholar and is a Fellow of the American Academy of Arts and Sciences. He is a Professor of Mathematics at MIT and an Honorary Fellow of Balliol College. Professor Strang has published eight textbooks. He received the von Neumann Medal of the US Association for Computational Mechanics, and the Henrici Prize for applied analysis.