微分形式与流形微积分的直观入门
A Visual Introduction to Differential Forms and Calculus on Manifolds
Jon Pierre Fortney · 初版 2018 年
3人推荐
3位读者提及
3次提及
Hacker News 上怎么说
正在加载完整评论……
A Visual Introduction to Differential Forms and Calculus on Manifolds
Jon Pierre Fortney · 初版 2018 年
正在加载完整评论……
Jon Fortney 写的《A Visual Introduction to Differential Forms and Calculus on Manifolds》。https://www.amazon.com/Visual-Introduction-Differential-Calc...
A Visual Introduction to Differential Forms and Calculus on Manifolds by Jon Fortney. https://www.amazon.com/Visual-Introduction-Differential-Calc...
…流形、测度论/概率论、拓扑学，而且更重要的是具备必需的“数学成熟度”（math maturity）。想要非常浅显易懂的流形和测度入门，你大概可以看看 [0] Fortney 写的《A Visual Introduction to Differential Forms and Calculus on Manifolds》以及 [1] Johnston 写的《The Lebesgue Integral for Undergraduates》。[0] https://www.amazon.com/Visual-Introduction-Differential-Calc... [1] https://www.amazon.com/Lebesgue-Integral-Undergraduates-MAA-...
…manifolds, measure theory/probability theory, topology and more importantly have the requisite "math maturity". For very easy intro to manifolds and measure you could probably take a look into [0] A Visual Introduction to Differential Forms and Calculus on Manifolds by Fortney and [1] The Lebesgue Integral for Undergraduates by Johnston. [0] https://www.amazon.com/Visual-Introduction-Differential-Calc... [1] https://www.amazon.com/Lebesgue-Integral-Undergraduates-MAA-...
…Wade https://www.amazon.com/Introduction-Analysis-4th-William-Wad... [5] Tapp 著《Differential Geometry of Curves and Surfaces》https://www.amazon.com/Differential-Geometry-Surfaces-Underg... [6] Fortney 著《A Visual Introduction to Differential Forms and Calculus on Manifolds》https://www.amazon.com/Visual-Introduction-Differential-Calc... [7] Panaretos 著《Statistics for Mathematicians: A Rigorous First Course》https://www.amazon.com/Statistics-Mathematicians-Rigorous-Te...
…Wade https://www.amazon.com/Introduction-Analysis-4th-William-Wad... [5] Differential Geometry of Curves and Surfaces by Tapp https://www.amazon.com/Differential-Geometry-Surfaces-Underg... [6] A Visual Introduction to Differential Forms and Calculus on Manifolds by Fortney https://www.amazon.com/Visual-Introduction-Differential-Calc... [7] Statistics for Mathematicians: A Rigorous First Course by Panaretos https://www.amazon.com/Statistics-Mathematicians-Rigorous-Te...