可视化微分几何与形式

Hacker News 上怎么说

• sixbrx · 2022 年

  …Approach（https://www.maa.org/press/maa-reviews/advanced-calculus-a-di....） Tristan Needham: Visual Complex Analysis（https://www.maa.org/press/maa-reviews/visual-complex-analysi...） Tristan Needham: Visual Differential Geometry and Forms（https://press.princeton.edu/books/paperback/9780691203706/vi...）

  …Approach (https://www.maa.org/press/maa-reviews/advanced-calculus-a-di....) Tristan Needham: Visual Complex Analysis (https://www.maa.org/press/maa-reviews/visual-complex-analysi...) Tristan Needham: Visual Differential Geometry and Forms (https://press.princeton.edu/books/paperback/9780691203706/vi...)

• enriquto · 2024 年

  > 我对 k-vector 和 k-form 还是没什么直观感觉 你引用的那些参考资料很棒。还有 Tristan Needham 的那本《Visual Differential Geometry and Forms》，或者经典的《Gravitation》，这种视觉化语言最初就是在那里展现的。除了这种连续的解释，你可能也会从离散情形（也就是“discrete exterior…”）中获得更深的见解

  > I still don’t have much intuition for k-vectors and k-forms The references that you cite are great. Also Tristan Needham's book "Visual Differential Geometry and Forms", or the classic "Gravitation" where this visual language was fist exposed. Besides this continuous interpretation, you may also enjoy further insight via the discrete case, called "discrete exterior…

• alhidade · 2026 年

  还有一本 Tristan Needham 写的神书《Visual Differential Geometry and Forms》，也采用了类似的视觉化直观解释风格。书里还有不少水果被插满牙签的插图。

  There also is the excellent book "Visual Differential Geometry and Forms" by Tristan Needham, which takes a similar visual intuitive explanation style. Also it features pictures of fruit pierced by lots of toothpicks.

• musgravepeter · 2022 年

  …我觉得啃起来很吃力。有些自学书籍我很喜欢，因为它们附带答案：Mattuck 的《Introduction to Analysis》，Pressley 的《Elementary Differential Geometry》。最近还有 Needham 的《Visual Differential Geometry and Forms》，也特别棒。Edit：我顺便提一下《Topology without Tears》（免费、在线、非常赞）https://www.topologywithouttears.net/

  …I find it tough going. Some books I liked for self study because they have answers: Introduction to Analysis, Mattock. Elementary Differential Geometry, Pressley. There is also recently Needham's Visual Differential Geometry and Forms, which is great. Edit: I should also mention Topology without Tears (free, online, very good) https://www.topologywithouttears.net/

• musgravepeter · 2021 年

  …to Analysis (Mattuck) - Elementary Differential Geometry (Pressley)，选这两本都是因为书里有解答，我觉得这对自学来说非常重要。另外刚拿到（热腾腾刚出炉的）Visual Differential Geometry and Forms (Needham)，看着太棒了！书单上下一个要看的是 Topology...

  …to Analysis (Mattuck) - Elementary Differential Geometry (Pressley) both chosen because they have solutions in the book, which I find important for self-study. Also just got (hot off the presses) Visual Differential Geometry and Forms (Needham) Looks fantastic! Topology is next on the list...

• chadcmulligan · 2022 年

  …永动机。也让我庆幸自己转行去了 IT，虽然那种心痒痒的瘾永远都在。对于处境类似的人，这是一本关于广义相对论（general rel）的绝妙好书，而且几乎不需要什么高深数学——《Visual Differential Geometry and Forms: A Mathematical Drama in Five Acts》

  …perpetual motion machine. Also makes me glad I moved into IT, though the bug never leaves you, for anyone in a similar position this is a wonderful book on general rel, and requires very little maths - "Visual Differential Geometry and Forms: A Mathematical Drama in Five Acts"

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