ENGLISH

Nonstandard Methods of Analysis

By Anatoly G. Kusraev , Semen S. Kutateladze (auth.)

Book information

Publisher
Springer Netherlands
Year
1994
ISBN
978-94-010-4497-4, 978-94-011-1136-2
DOI
10.1007/978-94-011-1136-2
Language
english
Format
PDF
Filesize
10 MB (10506036 bytes)
Series
Mathematics and Its Applications 291
Edition
1
Pages
439\446
Orientation
yes
Scanned
yes
Time added
2013-08-01 04:00:00
Mathematical Logic and Foundations; Real Functions

Description

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.

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