LIBERO WebOPAC Catalogue Display (W561)

Catalogue Information
Field name	Details
Dewey Class	511.3
Title	Nonstandard Methods of Analysis ([EBook]) / by Anatoly G. Kusraev, Semen S. Kutateladze.
Author	Kusraev, Anatolii Georgievich
Added Personal Name	Kutateladze, Semen S.
Other name(s)	SpringerLink (Online service)
Publication	Dordrecht : Springer Netherlands , 1994.
Physical Details	VIII, 439 pages : online resource.
Series	Mathematics and its applications ; 291
ISBN	9789401111362
Summary Note	Nonstandard Methods of Analysis is concerned with the main trends in this field; infinitesimal analysis and Boolean-valued analysis. The methods that have been developed in the last twenty-five years are explained in detail, and are collected in book form for the first time. Special attention is paid to general principles and fundamentals of formalisms for infinitesimals as well as to the technique of descents and ascents in a Boolean-valued universe. The book also includes various novel applications of nonstandard methods to ordered algebraic systems, vector lattices, subdifferentials, convex programming etc. that have been developed in recent years. For graduate students, postgraduates and all researchers interested in applying nonstandard methods in their work.:
Contents note	I. Infinitesimal Analysis -- 1. Excursus into the History of Mathematical Analysis -- 2. Naive Fundamentals of Infinitesimal Methods -- 3 Set-Theoretic Formalisms of Nonstandard Analysis -- 4. Monads in General Topology -- 5. Infinitesimals and Subdifferentials -- 2. Boolean-Valued Analysis -- 1. Universes of Sets -- 2. Boolean-Valued Universes -- 3. Functors of Boolean-Valued Analysis -- 4. Boolean-Valued Analysis of Algebraic Systems -- 5. Boolean Representations in Functional Analysis -- References.
System details note	Online access to this digital book is restricted to subscription institutions through IP address (only for SISSA internal users)
Internet Site	http://dx.doi.org/10.1007/978-94-011-1136-2
Links to Related Works	Subject References: Functional Analysis . Functions of real variables . Mathematical logic . Mathematical Logic and Foundations . Mathematical optimization . Optimization . Real Functions . Topology . Authors: author . Kusraev, Anatolii Georgievich . Kutateladze, Semen S. . Kusraev, Anatolii Georgievich . See Also: Kusraev, A. G . Kusraev, Anatolij G. . Kusraev, Anatoly G. . Kusraev, A. G . Kusraev, Anatolij G. . Kusraev, Anatoly G. . Corporate Authors: SpringerLink (Online service) . Series: Mathematics and its applications . Classification: 511.3 .

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Nonstandard Methods of Analysis

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