A.D. Alexandrov : Selected Works Part II: Intrinsic Geometry of Convex Surfaces.
"This classic is quite readable and opens a deeper understanding of this field also through self-study without any special prerequisites "--H. Rindler, Wien, in Monatshefte für Mathematik, Vol. 149, No. 4, 2006.
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| Format: | eBook |
| Language: | English |
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London :
CRC Press,
2005.
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| Series: | Classics of Soviet mathematics.
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| Online Access: | Connect to the full text of this electronic book |
Table of Contents:
- COVER
- TITLE
- COPYRIGHT
- CONTENTS
- FOREWORD
- PREFACE
- Chapter I: BASIC CONCEPTS AND RESULTS
- Chapter II: GENERAL PROPOSITIONS ABOUT INTRINSIC METRICS
- Chapter III: CHARACTERISTIC PROPERTIES OF THE INTRINSIC METRIC
- Chapter IV: THE ANGLE
- Chapter V: CURVATURE
- Chapter VI: EXISTENCE OF A CONVEX POLYHEDRON WITH A GIVEN METRIC
- Chapter VII: EXISTENCE OF A CLOSED CONVEX SURFACE WITH A GIVEN METRIC
- Chapter VIII: OTHER EXISTENCE THEOREMS
- Chapter IX: CURVES ON CONVEX SURFACES
- Chapter X: AREA
- Chapter XI: THE ROLE OF SPECIFIC CURVATURE
- Chapter XII: GENERALIZATION
- Appendix: BASICS OF CONVEX BODIES
- INDEX.