The Deranged Mathematician: An Introduction to…
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The Deranged Mathematician: An Introduction to Differential Geometry
How do you summarize a field like differential geometry? A year or so ago, I was asked to do just that. My first thought was that this is just straight-up impossible to do in any reasonable way. Upon reflection, I softened that view. I still think that differential geometry is just not something you can learn quickly, but if you just want the eagle-eye view of the basic constructions and how they are used in different branches of the field... that is doable. Hence, this article.
Read the full post (for free) on Substack: An Overview of Differential Geometry https://derangedmathematician.substack.com/p/an-overview-of-differential-geometry
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How do you summarize a field like differential geometry? A year or so ago, I was asked to do just that. My first thought was that this is just straight-up impossible to do in any reasonable way. Upon reflection, I softened that view. I still think that differential geometry is just not something you can learn quickly, but if you just want the eagle-eye view of the basic constructions and how they are used in different branches of the field... that is doable. Hence, this article.
Read the full post (for free) on Substack: An Overview of Differential Geometry https://derangedmathematician.substack.com/p/an-overview-of-differential-geometry
#science
source
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Differential geometry is such a deep topic—your point about it not being quick to learn resonates. What key concepts would you highlight in that summary?
