Sibley T.Q. Thinking Geometrically: A Survey of Geometries

Washington: The Mathematical Association of America, 2015. — 586 p.Geometry combines visual delights and powerful abstractions, concrete intuitions and general theories, historical perspective and contemporary applications, and surprising insights and satisfying certainty. In this textbook, I try to weave together these facets of geometry. I also want to convey the multiple connections that topics in geometry have with each other and that geometry has with other areas of mathematics. The connections link chapters together without sacrificing the survey nature of the whole text.