Description
Book SynopsisThis is the final volume of a three volume collection devoted to the geometry, topology, and curvature of 2-dimensional spaces. The collection provides a guided tour through a wide range of topics by one of the twentieth century's masters of geometric topology. The books provide perspective and insight to mathematicians at all levels who are interested in geometry and topology.
Trade ReviewLike its predecessors, it is well written and full of exciting twists and turns, and will delight undergraduates, graduates, and those of us looking for something new to add to our geometry and topology classes." — Alan S. McRae,
Mathematical Reviews"The reviewer likes the geometric style of the book, written by an expert in this beautiful area of mathematics...Reading this book made me want to learn more about 3-dimensional geometry." — Joseph Malkoun,
Zentralblatt MATH"Many readers will be hooked by Cannon's aesthetics and proof exposition, where geometric intuition and topological arguments play leading roles...Cannon's books are worth every cent. I have in the past gifted Hilbert & Cohn-Voseen and Rademacher and Toeplitz to my students. Now I have Cannon's trio to add to my list of giftables." — Tushar Das,
MAA ReviewsTable of Contents
- A graphical introduction to hyperbolic geometry
- Hyperbolic geometry
- Gravity as curvature
- Curvature by polyhedral approximation
- Curvature as a length derivative
- Theorema egregium
- Curvature appendix
- Bibliography
