Problems in Differential geometry

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SUMMARY

This discussion focuses on introductory problems in differential geometry, highlighting several resources with solutions. Key resources include a problem set from Maynooth University, accessible at this link, and additional materials from Georgia Tech and Shifrin. The discussion also references a collection of nonlinear problems from Imperial College and a Russian resource available on Arxiv. These materials provide valuable practice for those studying differential geometry.

PREREQUISITES
  • Basic understanding of differential geometry concepts
  • Familiarity with mathematical problem-solving techniques
  • Access to online academic resources
  • Ability to interpret mathematical notation and proofs
NEXT STEPS
  • Explore the Maynooth University differential geometry problem set
  • Review the Georgia Tech differential geometry paper
  • Study the Shifrin differential geometry resource
  • Investigate nonlinear problems from Imperial College
USEFUL FOR

Students and educators in mathematics, particularly those focusing on differential geometry, as well as anyone seeking free resources for practice problems and solutions in this field.

Silviu
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Hello! Can someone point me toward some (introductory) problems in differential geometry with solutions (preferably free)? Thank you!
 
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Here's a problem set with solutions from Maynooth University math course:

http://archive.maths.nuim.ie/staff/stefan/TT/1011/451P.pdf

https://www.maynoothuniversity.ie/mathematics-and-statistics

and this one from Georgia Tech:

http://people.math.gatech.edu/~ghomi/Papers/op.pdf

and this one from Shifrin:

http://alpha.math.uga.edu/~shifrin/ShifrinDiffGeo.pdf

and ...

http://wwwf.imperial.ac.uk/~skdona/NONLINEARITYPROBLEMS.PDF

and lastly this Russian one from the Arxiv:

https://arxiv.org/abs/0801.1568
 
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