Thinking Geometrically

The textbook Thinking Geometrically: A Survey of Geometries, published by AMS/MAA Press, provides a broad survey of college geometry. Written by Thomas Q. Sibley, the volume supports undergraduate courses designed for both mathematics majors and mathematics education majors.

The text balances intuitive visual insights with formal logical structures and historical contexts. Coverage addresses axiomatic, Euclidean, and transformational systems alongside non-Euclidean frameworks, emphasizing the deep conceptual connections that unite varied geometric topics.

Organized to accommodate diverse academic backgrounds, including students preparing for secondary mathematics teaching, the chapters supply numerous exercises and projects. These materials offer practice in geometric thinking while maintaining modular independence across chapters.