Finding the Best Geometry Textbook for My Course

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SUMMARY

The discussion centers on selecting the best geometry textbooks for a proof-based course covering both Euclidean and non-Euclidean geometry. Recommended texts include "Geometry: Euclid and Beyond" by Robin Hartshorne, which is highly regarded for its treatment of Euclidean geometry, and "Introduction to Smooth Manifolds" by John M. Lee, which addresses non-Euclidean concepts. Both books are available on Amazon and are suitable for students seeking a rigorous understanding of geometry.

PREREQUISITES
  • Understanding of proof-based mathematics
  • Familiarity with Euclidean geometry concepts
  • Basic knowledge of non-Euclidean geometry
  • Access to academic resources for purchasing textbooks
NEXT STEPS
  • Research "Geometry: Euclid and Beyond" by Robin Hartshorne
  • Explore "Introduction to Smooth Manifolds" by John M. Lee
  • Investigate supplementary materials for proof-based geometry courses
  • Review online forums for additional textbook recommendations
USEFUL FOR

Students enrolled in geometry courses, educators seeking textbook recommendations, and anyone interested in advanced mathematical proofs in both Euclidean and non-Euclidean contexts.

1MileCrash
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I'm taking a class on Geometry next semester an I'm in need of a good book. It will be both euclidean and non-euclidean geometry and is a proof based course. Sorry, I know that's rather vague but that's all I know about the class.

Thank you!
 
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Thank you, I will check them out!
 
i am self learning physics. have you ever worked your way backwards again after finishing most undergrad courses? i have textbooks for junior/senior physics courses in classical mechanics, electrodynamics, thermal physics, quantum mechanics, and mathematical methods for self learning. i have the Halliday Resnick sophomore book. working backwards, i checked out Conceptual Physics 11th edition by Hewitt and found this book very helpful. What i liked most was how stimulating the pictures...

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