《借助几何学线代》封面

借助几何学线代

Linear algebra through geometry

Thomas Banchoff、John Wermer · 初版 1983 年

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3位读者提及
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Hacker News 上怎么说

  • ……同一水平/类别的还有一本,那就是 Robert Valenza 的《线性代数:抽象数学导论》(Linear Algebra: An Introduction to Abstract Mathematics)[3]。其他我中意的还有:适合 Python 爱好者的 Philip Klein 的《矩阵编码》(Coding the Matrix)[4],以及适合几何爱好者的 Banchoff/Wermer 的《通过几何学线性代数》(Linear Algebra Through Geometry)[5]。如果你水平远超这些,还可以从 Steven Roman 的《高等线性代数》(Advanced Linear Algebra)[6] 里学到新东西。[0] https://www.amazon.com/Linear-Algebra-Stephen-H-Friedberg-eb...……

    …one in the same league/group which is Linear Algebra: An Introduction to Abstract Mathematics by Robert Valenza[3]. Other favorites are Coding the Matrix by Philip Klein[4] for Python aficionados and Linear Algebra Through Geometry by Banchoff/Wermer[5] for those who like geometry. If you are way beyond all this, you can still pick up new things from Advanced Linear Algebra by Steven Roman[6]. [0] https://www.amazon.com/Linear-Algebra-Stephen-H-Friedberg-eb...…

  • ……下面这几本书对我帮助很大:- Visual 系列,比如《可视化复分析》(Visual Complex Analysis)和《可视化群论》(Visual Group Theory)- Pinter 的《抽象代数之书》(A book of Abstract Algebra)- Strichartz 的《分析之道》(The Way of Analysis)- Wermer 的《通过几何学线性代数》(Linear Algebra Through Geometry)。这本书对线性代数概念给出了非常全面的几何解释。它对我理解二次型尤其有帮助。要更好地理解 Analysis,这个领域……

    …following books helped me a lot: - The visual series. Visual Complex Analysis and Visual Group Theory, for instance - Pinter's A book of Abstract Algebra - Strichartz's The Way of Analysis - Linear Algebra Through Geometry by Wermer. The book offers a comprehensive geometric interpretation to linear algebra concepts. It's especially helpful for me to understand quadratic forms. To understand Analysis better. This area…

  • ……数学教育中通过几何可视化的有效性:理论框架(efficiency of visualization through geometry at mathematics education: a theoretical framework),作者 Sefa Dundar 等人 - pdf 链接:https://www.sciencedirect.com/science/article/pii/S187704281... 3) 我们应该通过几何来教授线性代数吗?(Should we teach linear algebra through geometry?),作者 Ghislaine Gueudet-Chartier - pdf 链接:https://www.sciencedirect.com/science/article/pii/S002437950... 4) n 维空间中的几何思维(Geometric thinking in a n-space),作者 Ghislaine Gueudet - pdf 链接:https://shs.hal.science/hal-00529609/……

    …efficiency of visualization through geometry at mathematics education: a theoretical framework by Sefa Dundar et al. - pdf at https://www.sciencedirect.com/science/article/pii/S187704281... 3) Should we teach linear algebra through geometry? by Ghislaine Gueudet-Chartier - pdf at https://www.sciencedirect.com/science/article/pii/S002437950... 4) Geometric thinking in a n-space by Ghislaine Gueudet - pdf at https://shs.hal.science/hal-00529609/…

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