How to Self Study Geometry. Part I: Pure Geometry - Comments

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Discussion Overview

The discussion revolves around strategies for self-studying geometry, specifically focusing on pure geometry and the works of Euclid. Participants share their experiences and suggestions for effective study methods.

Discussion Character

  • Exploratory, Conceptual clarification

Main Points Raised

  • One participant suggests brainstorming every chapter multiple times to enhance understanding and retention, emphasizing the importance of focus during this process.
  • Another participant expresses gratitude and shares that they have started reading Euclid, having completed the first five books.
  • A further contribution includes a reference to notes written by a participant who taught the first four books of Euclid, highlighting the connection to Archimedes and a derivation related to higher-dimensional geometry.

Areas of Agreement / Disagreement

The discussion does not appear to have explicit areas of agreement or disagreement, as participants share personal experiences and suggestions without contesting each other's views.

Contextual Notes

Some suggestions may depend on individual learning styles and the effectiveness of brainstorming techniques, which are not universally applicable.

Who May Find This Useful

Individuals interested in self-studying geometry, particularly those looking for methods to engage with Euclidean concepts and enhance their understanding of geometric principles.

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How to Self Study Geometry. Part I: Pure Geometry

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It's obvious that you lost yourself in it. Brain storm every chapter at first. 3 time brain storming will make things like water. And don't forget to block other thoughts during brainstorming. And more technically ask, question, solve and be patient. Hold and breathe and try to remember what you learned. Good luck...
 
THANK YOU ! I actually already began reading Euclid but I only completed the first five books.
 
When I taught the first 4 books of Euclid in a 2 week course I wrote some notes for the students. FWIW they are here:
http://alpha.math.uga.edu/~roy/camp2011/10.pdf

They end by showing how Euclid's ideas are advanced by Archimedes and give a derivation for the volume of a 4 dimensiopnal sphere in that spirit.
 

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