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- Books on classical geometry 11 answers
I want to self-study geometry for interest. What I want to study is closed to the fundamental appeal, not problem-solving, not differential geometry. But I found that there were many of books on geometry. And it is difficult for a beginner like me to figure out which books are the ones I need.
I want to learn the axiomatic/synthetic, ancient/modern fundamentals of geometry, such like what is "point", "segment", "directed segment", "Euclidean vector", "plane", "congruence", "affine space", etc; and what is the modern way of defining and treating these concepts? If there's a book compare those difference is also what I want. I guess this kind of books should be of graduate level right? I've studied analysis and linear algebra, so a book uses plenty of terminology of these subject is OK for me!