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.

Bibliographic Details
Main Author: Kutateladze, Semen S.
Corporate Author: Taylor & Francis
Other Authors: Kutateladze, S. S.
Format: eBook
Language:English
Published: London : CRC Press, 2005.
Series:Classics of Soviet mathematics.
Subjects:
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.