A First Course in Geometric Topology and Differential Geometry

Download or read book A First Course in Geometric Topology and Differential Geometry written by Ethan D. Bloch and published by Springer Science & Business Media. This book was released on 2011-06-27 with total page 433 pages. Available in PDF, EPUB and Kindle. Book excerpt: The uniqueness of this text in combining geometric topology and differential geometry lies in its unifying thread: the notion of a surface. With numerous illustrations, exercises and examples, the student comes to understand the relationship of the modern abstract approach to geometric intuition. The text is kept at a concrete level, avoiding unnecessary abstractions, yet never sacrificing mathematical rigor. The book includes topics not usually found in a single book at this level.