This carefully written book is an introduction to the beautiful ideas and results of differential geometry. The first half covers the geometry of curves and surfaces, which provide much of the motivation and intuition for the general theory. The second part studies the geometry of general manifolds, with particular emphasis on connections and curvature. The text is illustrated with many figures and examples. The prerequisites are undergraduate analysis and linear algebra. This new edition provides many advancements, including more figures and exercises, and--as a new feature--a good number of solutions to selected exercises.
- ISBN13 9781470423209
- Publish Date 1 December 2016 (first published 28 March 2002)
- Publish Status Active
- Publish Country US
- Imprint American Mathematical Society
- Edition 3rd Revised edition
- Format Paperback
- Pages 412
- Language English