Suggestions for College-Level Geometry books?

[phlip180]

I am not currently taking a Geometry class, but I've always been interested in Geometry and I'm now looking for a good College-Level Geometry book. All the ones I have checked out from my school's library claim to be College-Level, but mostly talk about subjects I remember learning about in High School Geometry. Any suggestions on good Geometry books that focus on subjects beyond what you learn in High School?

 

[mathwonk]

i recommend euclid plus hartshorne's Geometry: euclid and beyond. he teaches the college course at berkeley from those. or look on my webpage for a free set of notes from "epsilon camp"

they seem to start easy but may get harder (they end with finding the volume of a 4 dimensional ball).

http://www.math.uga.edu/~roy/camp2011/10.pdf

or try a book by john stillwell or david henderson.

 

[phlip180]

Thank you! This is exactly the kind of thing I was looking for.

 

[quasar987]

Or how about Geometry and Topology by Reid and S. ?

 

[jbunniii]

There's also Isaacs' Geometry for College Students. I haven't read it, but his books on abstract algebra and finite group theory are excellent, so I expect this one should be very good as well.

 

[dustbin]

Coxeter's Geometry Revisited and Moise's Elementary Geometry from an Advanced Standpoint.

 

[Vargo]

I also enjoyed Coxeter's Introduction to Geometry. It covers a range of topics pretty well. The prereqs for understanding this book aren't high, but somehow it gets difficult as soon as you look at the exercises.