Description
Book SynopsisProvides 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.
Trade Review[T]his is a wonderful introduction to geometry and topology and their applications to the sciences. The book contains a unique collection of topics that might entice young readers to continue their academic careers by learning more about the world of mathematics." - Claus Ernst,
Zentralblatt MATHTable of Contents
- Universes: An introduction to the shape of the universe
- Visualizing four dimensions
- Geometry and topology of different universes
- Orientability
- Flat manifolds
- Connected sums of spaces
- Products of spaces
- Geometries of surfaces
- Knots: Introduction to knot theory
- Invariants of knots and links
- Knot polynomials
- Molecules: Mirror image symmetry from different viewpoints
- Techniques to prove topological chirality
- The topology and geometry of DNA
- The topology of proteins
- Index
