Convex Surfaces

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Extrinsic Geometry Of Convex Surfaces

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Author : Alekseĭ Vasilʹevich Pogorelov
language : en
Publisher: American Mathematical Soc.
Release Date : 1973

Extrinsic Geometry Of Convex Surfaces written by Alekseĭ Vasilʹevich Pogorelov and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on 1973 with Mathematics categories.

Convex Surfaces

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Author : Herbert Busemann
language : ru
Publisher: Courier Corporation
Release Date : 2013-11-07

Convex Surfaces written by Herbert Busemann and has been published by Courier Corporation this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-11-07 with Mathematics categories.

This exploration of convex surfaces focuses on extrinsic geometry and applications of the Brunn-Minkowski theory. It also examines intrinsic geometry and the realization of intrinsic metrics. 1958 edition.

Convex Surfaces

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Author : Herbert Busemann
language : en
Publisher:
Release Date : 1837

Convex Surfaces written by Herbert Busemann and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1837 with Convex surfaces categories.

Convex Surfaces

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Author : Herbert Busemann
language : en
Publisher:
Release Date : 1958

Convex Surfaces written by Herbert Busemann and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1958 with Convex surfaces categories.

A D Alexandrov

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Author : S.S. Kutateladze
language : en
Publisher: CRC Press
Release Date : 2005-07-25

A D Alexandrov written by S.S. Kutateladze and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2005-07-25 with Mathematics categories.

Extrinsic Geometry Of Convex Surfaces

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Author : Alekseĭ Vasilʹevich Pogorelov
language : en
Publisher:
Release Date : 1973

Extrinsic Geometry Of Convex Surfaces written by Alekseĭ Vasilʹevich Pogorelov and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1973 with Convex surfaces categories.

Extrinsic Geometry Of Convex Surfaces

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Author : A. V. Pogorelov
language : en
Publisher:
Release Date : 1973

Extrinsic Geometry Of Convex Surfaces written by A. V. Pogorelov and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1973 with Convex surfaces categories.

A Measure Of Asymmetry For Convex Surfaces

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Author : E. Asplund
language : en
Publisher:
Release Date : 1960

A Measure Of Asymmetry For Convex Surfaces written by E. Asplund and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1960 with Convex surfaces categories.

A D Alexandrov

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Author : S.S. Kutateladze
language : en
Publisher: Chapman and Hall/CRC
Release Date : 2005-07-25

A D Alexandrov written by S.S. Kutateladze and has been published by Chapman and Hall/CRC this book supported file pdf, txt, epub, kindle and other format this book has been release on 2005-07-25 with Mathematics categories.

A.D. Alexandrov is considered by many to be the father of intrinsic geometry, second only to Gauss in surface theory. That appraisal stems primarily from this masterpiece--now available in its entirely for the first time since its 1948 publication in Russian. Alexandrov's treatise begins with an outline of the basic concepts, definitions, and results relevant to intrinsic geometry. It reviews the general theory, then presents the requisite general theorems on rectifiable curves and curves of minimum length. Proof of some of the general properties of the intrinsic metric of convex surfaces follows. The study then splits into two almost independent lines: further exploration of the intrinsic geometry of convex surfaces and proof of the existence of a surface with a given metric. The final chapter reviews the generalization of the whole theory to convex surfaces in the Lobachevskii space and in the spherical space, concluding with an outline of the theory of nonconvex surfaces. Alexandrov's work was both original and extremely influential. This book gave rise to studying surfaces "in the large," rejecting the limitations of smoothness, and reviving the style of Euclid. Progress in geometry in recent decades correlates with the resurrection of the synthetic methods of geometry and brings the ideas of Alexandrov once again into focus. This text is a classic that remains unsurpassed in its clarity and scope.

A D Alexandrov

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Author : S.S. Kutateladze
language : en
Publisher: CRC Press
Release Date : 2005-07-25

A.D. Alexandrov is considered by many to be the father of intrinsic geometry. A two-volume set, A.D. Alexandrov Selected Works contains some of the most important papers by this renowned geometer. Volume 1 covers convex polyhedrons and closed surfaces, an elementary proof and extension of Minkowski's theorem, Riemannian geometry and a method for Dirichlet problems. Volume 2 covers general propositions on an intrinsic metric, angles and curvature, the existence of a convex polyhedron with prescribed metric, curves on convex surfaces, and the role of specific curvature. These monographs, published in English for the first time, will appeal to advanced students and researchers in mathematics and geometry.

Convex Surfaces

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