WorldCat Identities

Kutateladze

Overview
Works: 3 works in 3 publications in 1 language and 5 library holdings
Roles: Editor, Author
Classifications: QA299.82, 519.4
Publication Timeline
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Most widely held works by Kutateladze
Math-selfie by S. S Kutateladze( Book )

1 edition published in 2015 in English and held by 1 WorldCat member library worldwide

Infinitesimal analysis by E. I Gordon( Book )

1 edition published in 2002 in English and held by 1 WorldCat member library worldwide

Infinitesimal analysis, once a synonym for calculus, is now viewed as a technique for studying the properties of an arbitrary mathematical object by discriminating between its standard and nonstandard constituents. Resurrected by A. Robinson in the early 1960's with the epithet 'nonstandard', infinitesimal analysis not only has revived the methods of infinitely small and infinitely large quantities, which go back to the very beginning of calculus, but also has suggested many powerful tools for research in every branch of modern mathematics. The book sets forth the basics of the theory, as well as the most recent applications in, for example, functional analysis, optimization, and harmonic analysis. The concentric style of exposition enables this work to serve as an elementary introduction to one of the most promising mathematical technologies, while revealing up-to-date methods of monadology and hyperapproximation. This is a companion volume to the earlier works on nonstandard methods of analysis by A.G. Kusraev and S.S. Kutateladze (1999), ISBN 0-7923-5921-6 and Nonstandard Analysis and Vector Lattices edited by S.S. Kutateladze (2000), ISBN 0-7923-6619-0
A.D. Alexandrov Selected Works, Part II Instrinsic Geomentry of Convex Surfaces( )

1 edition published in 2005 in English and held by 0 WorldCat member libraries worldwide

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
 
Audience Level
0
Audience Level
1
  Kids General Special  
Audience level: 0.81 (from 0.70 for Infinitesi ... to 0.92 for Math-selfi ...)

Infinitesimal analysis
Alternative Names
Kutaeladze, S. S. (Semen Samsonovich)

Kutateladze S. S. 1945-

Kutateladze, Semen Samsonovich

Кутателадзе, С. С. (Семен Самсонович)

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