TY - BOOK AU - Erica Flapan TI - Knots, molecules, and the universe: : an introduction to topology SN - 978-1-4704-2535-7 AV - QA154.3 PY - 2016///] CY - Rhode, Island PB - American Mathematical Society KW - Mathematics N1 - 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 N2 - 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 ER -