# Books suggestions on the fundamental of geometry [duplicate]

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!

## marked as duplicate by rschwieb, I am Back, mrp, Leucippus, hardmathApr 12 '17 at 4:46

• I would recommend Hartshorne's Euclid and beyond for a modern treatment with some context of the past. – rschwieb Apr 10 '17 at 13:10

Here's one that does Geometry based on a combination of analytic tools$\,-\,$coordinates, Calculus, as well as lots of Linear Algebra: