Differential Geometry of Curves and Surfaces

• Main Author: Kobayashi, Shoshichi (Author, http://id.loc.gov/vocabulary/relators/aut)
• Corporate Author: SpringerLink (Online service)
• Format: Electronic eBook
• Language: English
• Published: Singapore : Springer Singapore : Imprint: Springer, 2019.
• Edition: 1st ed. 2019.
• Series: Springer Undergraduate Mathematics Series,
• Subjects: Differential geometry.; Mathematical analysis.; Analysis (Mathematics).; Manifolds (Mathematics).; Complex manifolds.; Differential Geometry.; Analysis.; Manifolds and Cell Complexes (incl. Diff.Topology).

This book is a posthumous publication of a classic by Prof. Shoshichi Kobayashi, who taught at U.C. Berkeley for 50 years, recently translated by Eriko Shinozaki Nagumo and Makiko Sumi Tanaka. There are five chapters: 1. Plane Curves and Space Curves; 2. Local Theory of Surfaces in Space; 3. Geometr...

Table of Contents:

• Plane Curves and Space Curves
• Local Theory of Surfaces in the Space
• Geometry of Surfaces
• The Gauss-Bonnet Theorem
• Minimal Surfaces. .