Nonstandard Methods of Analysis
Kusraev, A. G.; Kutateladze, Semën Samsonovich
ISBN 10: 940104497X ISBN 13: 9789401044974
Published by Springer, 2012
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Soft cover
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Synopsis:
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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Bibliographic Details
Title: Nonstandard Methods of Analysis
Publisher: Springer
Publication Date: 2012
Binding: Soft cover
Condition: New