**Context and mathematical maturity:** I have knowledge of the usual engineering math courses, meaning differential+integral+vector calculus, linear algebra, probability and statistics, etc. and some pure math courses like analysis. I am a pure mathematics enthusiast, so I have been working through some texts in pure maths like Abbott's analysis and Pinter's Abstract algebra.


**Request:** I would like a recommendation for a geometry class. I know there are many different areas of Geometry, and I have no idea of where to start. Since I don't know much about geometry I would like a relatively introductory book, but much preferably if it is not at a high school level. Hopefully the book would also have some exercises so I can also practice what I read.


I have seen some people recommending Euclid's elements, but to be honest I don't find it to be super easy to read (I guess it is mostly about the language), and I have also seen visual differential geometry by Needham, which seems interesting, but I am not sure whether that is a **good place to start** learning about Geometry.


**Goal:** My dream would be to read Hilbert's Geometry and Imagination and not be completely clueless of what is happening on the book.


Thanks all for your recommendations!



Geometry book recommendation
Your requirements: "much preferably if it is not at a high school level" and
"My dream would be to read Hilbert's Geometry and Imagination" are contradictive. The book of Hilbert and Cohn-Vossen, Geometry and imagination IS on the high school level.


Other highly recommended geometry books on the same level are
Marcel Berger, Geometry, (in 2 volumes), and Robin Hartshorne, Geometry: Euclid and beyond, and "Foundations of Projective geometry" by the same author. All these books require no prerequisites.


