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Nonstandard Methods of Analysis (Mathematics and Its Applications)
by AG Kusraev ; SS Kutateladze
Binding: Hardcover, 1 edition, 448 pages
Publisher: Springer
Weight: 2.05 pound
Dimension: H: 1.3 x L: 9.5 x W: 6.4 inches
ISBN 10: 0792328922
ISBN 13: 9780792328926
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Book 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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