Hi! I am looking for a dover book on differential geometry, but is hard to decide which ones to buy. I am trying to get a (ONE) book NOT for PHYSISTS but for MATHEMATICIANS. For now I am paying attention to: - Tensor Analysis on Manifolds by Bishop - Differential Geometry by Kreyszig - Tensors, Differential Forms, and Variational Principles by Lovelock - Differential Geometry by Guggenheimer - Differential Geometry by Graustein My book preference is: - Book mainly for MATHEMATICIANS - Has lots of contents, but not too hard for beginning advanced mathematics undergraduates - Does not require too much point-set Topology (did not finish Williard Book Yet) - Techniques used are generalized instead of being too specific - Good notations (unlike Stuik's book) - Has great learning value If you have more suggestions (from dover, or anything below $25 US dollar), can you help me? Thank you.