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Item Details
Title: NONSTANDARD METHODS OF ANALYSIS
By: Anatoly G. Kusraev, S. S. Kutateladze
Format: Hardback

List price: £82.00


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ISBN 10: 0792328922
ISBN 13: 9780792328926
Publisher: SPRINGER
Pub. date: 31 May, 1994
Edition: 1994 ed.
Series: Mathematics and Its Applications 291
Pages: 439
Translated from: Russian
Description: This text is concerned with infinitesimal analysis and Boolean-valued analysis. 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.
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.
Illustrations: VIII, 439 p.
Publication: Netherlands
Imprint: Springer
Returns: Returnable
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