《实用线性代数》封面

实用线性代数

Practical linear algebra

Gerald E. Farin · 初版 2004 年

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《Practical Linear Algebra》涵盖了传统本科线性代数课程的所有概念,但侧重于实际应用。本书在介绍一般的(n维)概念之前,先在二维和三维空间中展开这些基本概念,并重点强调几何理解。本书不采用“定理/证明”结构,也很少花时间在繁琐的手工计算上(例如化简为行阶梯形),因为在大多数实际工作中,这些计算都由像 Mathematica 这样的工具来完成。相反,本书通过实例来呈现概念

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  • 也许这本书你也会感兴趣:http://www.amazon.com/Practical-Linear-Algebra-Geometry-Tool...

    Maybe this book will also be of interest: http://www.amazon.com/Practical-Linear-Algebra-Geometry-Tool...

  • belfalas,你可能觉得自己不需要再多一本了,但这本真的很棒,对视觉型学习者非常友好(尽管据说这种人根本不存在!):Gerald Farin 和 Dianne Hansford 写的《Practical Linear Algebra》。如果我没记错的话,第一版是基于一份专门给汽车公司的设计人员做培训的材料写的,那些人要么没数学背景,要么需要补课。所以从……

    belfalas you probably feel you don't need another one but this is a great book that is friendly for visual learners (even though apparently they don't exist!) Practical Linear Algebra - Gerald Farin & Dianne Hansford. IIRC, the first edition was based on a work designed to educate design workers at a car firm who either didn't have the background or needed shoring up. So from the…

  • 你需要这本书:Gerald Farin 和 Dianne Hansford 写的《Practical Linear Algebra: A Geometry Toolbox》。你花几毛钱就能买到旧版。第 1 版其实叫《The Geometry Toolbox for Graphics and Modeling》。你还应该读读……

    You need this book: Practical Linear Algebra: A Geometry Toolbox by Gerald Farin and Dianne Hansford. You can get older editions for pennies. The 1st edition was actually called The Geometry Toolbox for Graphics and Modeling. You should also read…

  • ……在脑海里同时保留这种直观理解。通过在 XY 坐标系里作图来解二元一次方程组这个基础例子,能帮你把这个概念彻底夯实。如果你想进一步深入学习,可能会觉得 Farin 和 Hansford 写的《Practical Linear Algebra : A Geometry Toolbox》这本书很有用。

    …interpretation simultaneously in mind. The basic example of solving a system of linear equations in two variables will cement this idea when you map it to the XY coordinate system. You might find the book Practical Linear Algebra : A Geometry Toolbox by Farin and Hansford useful for further study.

  • ……有现成版本)。2) Gerald Farin 和 Dianne Hansford 写的《Mathematical Principles for Scientific Computing and Visualization》——对所需背景知识做了很好的梳理。作者们还有一本叫《Practical Linear Algebra: A Geometry Toolbox》的书,你可能会发现它是绝佳的配套读物。3) Rajesh Kumar Gupta 写的《Numerical Methods: Fundamentals and Applications》——一本出版时间相对较近的书,涵盖的主题非常广泛……

    …edition available). 2) Mathematical Principles for Scientific Computing and Visualization by Gerald Farin and Dianne Hansford - Nice overview of needed background. The authors also have a book named Practical Linear Algebra: A Geometry Toolbox which you might find a ideal companion. 3) Numerical Methods: Fundamentals and Applications by Rajesh Kumar Gupta - A relatively recent book with a really broad coverage of subjects…

  • ……从这些评论中得出错误的信息。数学家/实际从业人员知道何时该从简单几何切换到代数,而且这都是作为常规内容来教的。举个例子,我在 https://news.ycombinator.com/item?id=45060305 提到的 Farin 和 Hansford 那本《Practical Linear Algebra: A Geometry Toolbox》,用的正是这种方法,先从在 2D/3D 几何中可视化向量入手,然后再过渡到更高维度。……

    …wrong message from these comments. Mathematicians/Practitioners know when to switch from simple geometry to algebra and that is taught as a matter of course. As an example, the farin and hansford book Practical Linear Algebra: A Geometry Toolbox that i mention at https://news.ycombinator.com/item?id=45060305 precisely takes this approach starting with visualizing vectors in 2D/3D geometry and then moving on to higher-dimensions.…

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