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scihub/10.1007/978-94-011-1136-2.pdf
Nonstandard Methods of Analysis || 🔍
Anatoly G. Kusraev, Semen S. Kutateladze (auth.) Springer Netherlands : Imprint : Springer, 10.1007/97, 1994
英语 [en] · PDF · 30.4MB · 1994 · 📘 非小说类图书 · 🚀/lgli/scihub/zlib · Save
描述
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.
备用文件名
zlib/no-category/Kusraev, Anatoly G.; Kutateladze, Semen S/Nonstandard Methods of Analysis ||_54062341.pdf
备选作者
A. G. Kusraev, Semën Samsonovich Kutateladze
备选作者
Kusraev, Anatoly G.; Kutateladze, Semen S
备用出版商
Springer Science + Business Media BV
备用出版商
Kluwer Academic Publishers
备用版本
Mathematics and its applications (Kluwer Academic Publishers), v. 291, Dordrecht ; Boston, ©1994
备用版本
Springer Nature, Dordrecht, 2012
备用版本
Netherlands, Netherlands
元数据中的注释
sm21682571
备用描述
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.
开源日期
2015-07-15
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