The Shape of Space

The Shape of Space, 3rd Edition, is a textbook that introduces the basic geometry and topology of two- and three-dimensional spaces. Part of the Chapman & Hall Textbooks in Mathematics series, the volume guides readers through visualizing potential structures for the universe.

The exposition emphasizes intuitive examples to explore surfaces and three-dimensional manifolds alongside cosmological applications. It addresses spatial concepts that are often omitted from conventional college curricula.

Designed for varied backgrounds, the text supports liberal arts students, mathematics undergraduates and graduate students seeking intuitive reinforcement, and general readers undertaking self-study.