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Differential Geometry

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Author(s): Alekseĭ Vasilʹevich Pogorelov
Publisher: Mir Publishers
Year: 1954

Language: English
Pages: 171
City: Moscow

Front Cover
Title Page
CONTENTS
Introduction
PART ONE THEORY OF CURVES
1. THE CONCEPT OF CURVE
2. CONCEPTS FOR CURVES WHICH ARE RELATEDTO THE CONCEPT OF CONTACT
3. FUNDAMENTAL CONCEPTS FOR CURVES WHICH ARE RELATED TO THE CONCEPTS OF CURVATURE AND TORSION
PART TWO THEORY OF SURFACES
4. CONCEPT OF SURFACE
5. FUNDAMENTAL CONCEPTS FOR SURFACES WHICH ARE RELATED TO THE CONCEPTOF CONTACT
6. FIRST QUADRATIC FORM OF A SURFACE AND CONCEPTS RELATED TO IT
7. SECOND QUADRATIC FORM OF A SURFACE AND QUESTIONS ABOUT SURFACE THEORY RELATED TO IT
8. FUNDAMENTAL EQUATIONS OF THE THEORY OF SURFACES
9. INTRINSIC GEOMETRY OF SURFACES
BIBLIOGRAPHY
INDEX