Good differential geometry textbooks/books for self study?

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SUMMARY

The forum discussion centers on recommendations for self-study textbooks in differential geometry. A specific recommendation is made for "Differential Geometry of Curves and Surfaces" by Manfredo P. do Carmo, which is deemed suitable for individuals with a background in calculus, differential equations, and linear algebra. The discussion emphasizes the importance of selecting appropriate resources for effective learning in this advanced mathematical field.

PREREQUISITES
  • Understanding of Calculus
  • Knowledge of Differential Equations
  • Familiarity with Linear Algebra
  • Basic reading comprehension skills
NEXT STEPS
  • Research additional textbooks on differential geometry, such as "Riemannian Geometry" by Manfredo P. do Carmo.
  • Explore online courses or lectures on differential geometry for a structured learning approach.
  • Investigate supplementary materials like problem sets and solutions to reinforce understanding.
  • Join study groups or forums focused on differential geometry for collaborative learning.
USEFUL FOR

Students and self-learners in mathematics, particularly those interested in advancing their knowledge of differential geometry and seeking structured resources for study.

Mathmanman
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Any good textbooks on differential geometry for self study?
I'm not the best at reading comprehension. I've already studied Calculus, differential equations, and linear algebra.
 
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This belongs in the textbook section of the forum.

With that being said, at your level I would recommend DoCarmo, Differential Geometry of Curves and Surfaces.
 

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