Part 1. Universes
Chapter 1. An introduction to the shape of the universe
Chapter 2. Visualizing four dimensions
Chapter 3. Geometry and topology of different universes
Chapter 4. Orientability
Chapter 5. Flat manifolds
Chapter 6. Connected sums of spaces
Chapter 7. Products of spaces
Chapter 8. Geometries of surfaces

Part 2. Knots
Chapter 9. Introduction to knot theory
Chapter 10. Invariants of knots and links
Chapter 11. Knot polynomials

Part 3. Molecules
Chapter 12. Mirror image symmetry from different viewpoints
Chapter 13. Techniques to prove topological chirality
Chapter 14. The topology and geometry of DNA
Chapter 15. The topology of proteins

This book is an elementary introduction to geometric topology and its applications to chemistry, molecular biology, and cosmology. It does not assume any mathematical or scientific background, sophistication, or even motivation to study mathematics. It is meant to be fun and engaging while drawing students in to learn about fundamental topological and geometric ideas. Though the book can be read and enjoyed by nonmathematicians, college students, or even eager high school students, it is intended to be used as an undergraduate textbook.--- summary provided by publisher