Infinitesimal Analysis: 544 (Mathematics and Its Applications, 544) - Tapa dura

Kusraev, A.G.; Gordon, E.I.; Kutateladze, Semën Samsonovich

 
9781402007385: Infinitesimal Analysis: 544 (Mathematics and Its Applications, 544)
Tapa dura
ISBN 10: 1402007388 ISBN 13: 9781402007385
Editorial: Springer, 2002

Sinopsis

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

"Sinopsis" puede pertenecer a otra edición de este libro.

Reseña del editor

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

"Sobre este título" puede pertenecer a otra edición de este libro.

Editorial
Springer
Año de publicación
2002
Idioma
Inglés
ISBN 10 
1402007388
ISBN 13 
9781402007385
Encuadernación
Tapa dura
Número de páginas
440
Contacto del fabricante
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Europaplatz 3
Heidelberg
69115
Alemania

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Edición Destacada

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