Where Can I Find Quality Resources for Learning Geometry?

  • Context: Graduate 
  • Thread starter Thread starter Jerbearrrrrr
  • Start date Start date
  • Tags Tags
    Geometry Resources
Click For Summary
SUMMARY

The discussion centers on finding quality resources for learning differential geometry, particularly for someone with a mathematics background. The user specifically seeks lecture videos and mentions having taken a General Relativity course. Recommendations include the trio of books by John M. Lee, which are considered essential for understanding the theoretical foundations of geometry. The user expresses difficulty in locating video lectures on the topic.

PREREQUISITES
  • Understanding of basic geometry concepts
  • Familiarity with General Relativity principles
  • Mathematical background, particularly in calculus and linear algebra
  • Knowledge of theoretical mathematics
NEXT STEPS
  • Research John M. Lee's books: "Introduction to Smooth Manifolds," "Riemannian Manifolds," and "Smooth Differential Geometry"
  • Look for online platforms offering differential geometry lecture videos, such as MIT OpenCourseWare or Coursera
  • Explore YouTube channels dedicated to advanced mathematics and geometry
  • Investigate academic lecture notes available from university courses on differential geometry
USEFUL FOR

Mathematics graduates, students pursuing advanced geometry studies, educators seeking teaching materials, and anyone interested in deepening their understanding of differential geometry.

Jerbearrrrrr
Messages
124
Reaction score
0
Hi, I'm trying to learn some geometry. I'm a maths graduate but didn't take any differential geometry. I did take a GR course, and now want to learn the 'proper' geometry theory that underlies some of the ideas.

Does anyone have any good resources (videos, or lecture notes) that they can recommend? Thanks

Mainly looking for lecture videos since I can find texts myself (eventually). (I checked the resource forum but couldn't find anything on diff geom)

Thanks

sorry if this is in the wrong section >< would be happy to see it moved if so
 
Physics news on Phys.org
This is discussable, but in my opinion, the best books are the trio by john m. lee.

I don't know any great video lectures about this on the internet.
 

Similar threads

Graduate Hodge decomposition of a 1-form on a torus
  • · Replies 2 ·
Replies
2
Views
4K
Undergrad I need help generating a 2D representation of a curved plane
  • · Replies 5 ·
Replies
5
Views
2K
Complementary resources to Feynman Lectures
  • · Replies 13 ·
Replies
13
Views
6K
Graduate Where do I start learning differential geometry?
  • · Replies 1 ·
Replies
1
Views
2K
Graduate Where to learn differential geometry online?
  • · Replies 1 ·
Replies
1
Views
3K
Resource Request for Relativistic Mechanics
  • · Replies 9 ·
Replies
9
Views
2K
Resources for learning more about Navier-Stokes Equations
  • · Replies 6 ·
Replies
6
Views
2K
Graduate Cohomology and fermions in supersymmetry
  • · Replies 3 ·
Replies
3
Views
2K
Classical What Are the Best Resources for Learning Electrodynamics?
  • · Replies 21 ·
Replies
21
Views
5K
Where Can I Find Free Resources for the Wiesen Mechanical Aptitude Test?
  • · Replies 12 ·
Replies
12
Views
4K