Nonstandard methods of analysis
By: by Anatoly G. Kusraev and Semen S. Kutateladze.
Contributors: Kutateladze, S. S.
Series: Mathematics and its applications ;; v. 291; Mathematics and its applications (Kluwer Academic Publishers) ;; v. 291.
Publisher: Kluwer Academic Publishers
Published: 1994
Place of publication: Dordrecht; Boston
Language: eng
Number of pages: 435
Subjects: Nonstandard mathematical analysis.
Description: This volume is devoted to nonstandard methods of analysis based on applying nonstandard models of set theory. The present monograph is concerned with the main trends in this field, infinitesimal analysis and Boolean-valued analysis. Here, the methods that have been developed in the last twenty-five years are explained in detail, and are collected in bookform 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 were developed in recent years.
Notes: Includes bibliographical references (p. 404-425) and index.