Nonstandard Methods of Analysis: 291 (Mathematics and Its Applications, 291) - Hardcover

Kusraev, A.G.; Kutateladze, Semën Samsonovich

Hardcover

ISBN 10: 0792328922 ISBN 13: 9780792328926

Publisher: Springer, 1994

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.

About this title

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 25 years are explained. 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 applications of non-standard methods to ordered algebraic systems, vector lattices, subdifferentials and convex programming that have been developed in recent years. The text is designed for undergraduate students, postgraduates and all researchers interested in applying non-standard methods in their work.

Edition details

• Publisher: Springer
• Publication date: 1994
• Language: English
• ISBN 10: 0792328922
• ISBN 13: 9780792328926
• Binding: Hardcover
• Number of pages: 447