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

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The discussion centers around a new PF Insights post on self-studying geometry, specifically focusing on pure geometry. Key points include the importance of brainstorming each chapter multiple times to enhance understanding and retention. Participants emphasize the need to block out distractions during this process and advocate for a methodical approach that involves asking questions and solving problems patiently. One contributor shares their experience with Euclid's works, noting they have completed the first five books and previously created notes for students in a course on the first four books. These notes are linked and highlight the progression of Euclid's ideas through Archimedes, culminating in a derivation related to the volume of a four-dimensional sphere.
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micromass submitted a new PF Insights post

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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