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About The Book

An excellent selection of fundamental theorems on surfaces is the main subject of this volume. Some modern works such as Kuiper’s theorem, as well as work of Hartman and Nirenberg, Massey, and Maltz is included.

Table of Contents

Chapter 1: The Fundamental Equations for Hypersurfaces

Chapter 2: Elements of the Theory of Surfaces in R³

Chapter 3: A Compendium of Surfaces

Chapter 4: Curves on Surfaces

Chapter 5: Complete Surfaces of Constant Curvature

Chapter 6: The Gauss-Bonnet Theorem and Related Topics

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