A.V. Pogorelov was born in , March 3, in Korocha of Belgorod district ( Russia). He graduated Kharkov . Geometria elemental (in Spanish).-Moscow: Mir. Alekséi Vasílievich Pogorélov (en ruso: Алексе́й Васи́льевич Погоре́лов, en ucraniano: Олексі́й Васи́льович Погорє́лов; 2 de marzo de 17 de diciembre de ) fue un matemático soviético y ucraniano. Es más conocido por sus contribuciones a la geometría convexa y Geometría elemental. Moscú, Editorial Mir-. View Geometria Diferencial – Aleksei Vasilevich from MEN at UFSC. A. v. POGORov Geometra diferencial EDITORIAL M il A. D. HO r OPE.
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Pogorelov was born inMarch 3, in Korocha of Belgorod district Russia. He graduated Veometria University and N. Zhukowsky Air Force Academy His professional experience advanced from engineer-designer at TsAGI At the same time he attended the external post-graduate courses. Pogorelov defended the Candidate’s thesis and the Doctor’s thesis The scope of his scientific interests geometia defined by a rare combination of gifts for mathematics and engineering.
The studies made by A. V Pogorelov are concerned with geometry in the large, fundamentals of geometry, theory of partial differential equations, theory of stability of thin shells, cryogenic electric mashine engineering.
They were generally recognized when he solved the very difficult problem of rigidity of general oogorelov surfaces by their metrics. The theorem proved by A. Pogorelov includes the well- known A. Cohn-Vossen results as partial cases. Subsequently,he also obtained a number of fundamental results: Pogorelov has developed the original geometrical theory of stability of elastic shells and determined a series of new elementzl on value of the critical loads, which was corroborated by himself experimentally.
He also suggested original solution in the field of the superconducting electric mashine engineering. Pogorelov is the author of the textbooks written for higher schools on all basic geometrical subjects which are notable for treir original text, mathematical strict proof and clarity.
His attention has been also concentrated on t he improvement of the school mathematical education. He created the text book of geometry which was included into school curricula in after being experimentally tested in a number of secondary schools.
Geometria Elemental – Pogorelov
The textbook is noted for its practical aspect of teaching geometry, from one part, and direction of attention towards a development of logical thinking, abilities of pupils according to their age features and individual gifts, on the other part, that fully meets up-to-date requirements.
Pogorelov is an author of more than publications including about 40 monographies and textbooks. Nierly all his monographies were translated into other languages abroad. His achievements in the scientific researches were appraised at their true worth and A. For his scientific and pedagogica activity A. For the textbook of geometry written by A.
Die eindeutige Bestimmung allgemeiner convexer Flachen in German. Die Verbiegung konvexer Flachen in German. Surfaces of bounded extrinsic curvature in Russian. Infinitesimal bending of general convex surfaces in Russian.
To the theory of convex elastic shells in postcritical stage in Russian. On Monge-Ampere equations of elliptic type in Russian. Topic in the theory of surfaces in elliptic space in English. Some results on surfaces theory in the large in English. Cylindrical shells under postcritical deformations in Russian I.
Strictly convex shells under postcritical deformations in Russian: Loss of stability of shells. Geometric theory of stability of shells in Russian.
Calaméo – Geometria Elemental – Pogorelov
Geometfia methods in non-linear theory of elastic shells in Russian. Extrinsic geometry of convex surfaces in English. Geometria elemental in Spanish. Mir Publishers, p. The Minkowsky multidimensional problem in English. Bending of surfaces and stability of shells in English. Multidimensional Monge-Ampere equation in English.
Lectures on differential geimetria in English. Lectures on analytic geometry in Russian. Lectures on the foundations of geometry in English. Analytical geometry in Russian. Differential geometry in Russian. Foundations of geometry in Russian. Geometry in Russian. Geometry in Ukrainian.