Calculus Of A Single Variable Lecture Notes

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A First Course in Geometric Topology and Differential Geometry

Author: Ethan D. Bloch
language: en
Publisher: Springer Science & Business Media
Release Date: 2011-06-27
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.