Questions tagged [differential-geometry]
The differential-geometry tag has no usage guidance.
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Which books on geometry and topology are best for teaching an intro graduate course?
I'm teaching a graduate (Master's) introduction to geometry and topology (e.g. some basics on manifolds, vector bundles, algebraic topology). What textbooks have you found are best for teaching a ...
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Where can I find a good course on tensor calculus not focused on applications and physics?
Where can I find a good course on tensor/ricci calculus not focused on applications and physics?
I've been running into lots of tensor-theoretic stuff in differential geometry, so I don't know if ...
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College undergraduate geometry courses
I am interested in learning how a course in geometry is employed today
at undergraduate colleges/universities in the U.S.
On the one hand, such a course seems to serve as an optional (rarely required)
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A Question about Theodore Frankel's "The Geometry of Physics"
Locked up in my self-distancing isolation in NYC, I'm reminded of how much I really like Frankel's book, which contains a wealth of beautiful geometry and topology from the standpoint of a ...
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Monodromy examples for undergraduates
I'm looking to put together a 1 hour talk about monodromy aimed at undergraduate math and physics majors. In terms of prerequisites, I only want to assume the students have seen multivariable calculus,...
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Does learning classical approach to differential geometry before modern approach help or hinder?
To my mind, there seem to be two main paths to differential geometry. There is the classical approach, focusing on curves and surfaces in $\mathbb{R}^n$, especially $\mathbb{R}^3$. Prerequisites tend ...
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Geometry with a view towards differential geometry textbook
I am scheduled to teach an upper-division undergraduate class on "Geometry" and I get to choose more or less what that means. Common choices seem to be non-Euclidean, hyperbolic, projective, or ...
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