
Nonstandard Methods of Analysis
Kluwer Academic Publishers
Published on 31. May 1994
Book
Hardback
VIII, 439 pages
978-0-7923-2892-6 (ISBN)
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.
For graduate students, postgraduates and all researchers interested in applying nonstandard methods in their work.
More details
Series
Edition
1994 ed.
Language
English
Place of publication
Dordrecht
Netherlands
Target group
Professional and scholarly
Research
Illustrations
VIII, 439 p.
Dimensions
Height: 241 mm
Width: 160 mm
Thickness: 29 mm
Weight
840 gr
ISBN-13
978-0-7923-2892-6 (9780792328926)
DOI
10.1007/978-94-011-1136-2
Schweitzer Classification
Other editions
Additional editions

A.G. Kusraev | Semën Samsonovich Kutateladze
Nonstandard Methods of Analysis
Book
10/2012
Springer
€106.99
Shipment within 15-20 days
Content
I. Infinitesimal Analysis.- 1. Excursus into the History of Mathematical Analysis.- 2. Naive Fundamentals of Infinitesimal Methods.- 3 Set-Theoretic Formalisms of Nonstandard Analysis.- 4. Monads in General Topology.- 5. Infinitesimals and Subdifferentials.- 2. Boolean-Valued Analysis.- 1. Universes of Sets.- 2. Boolean-Valued Universes.- 3. Functors of Boolean-Valued Analysis.- 4. Boolean-Valued Analysis of Algebraic Systems.- 5. Boolean Representations in Functional Analysis.- References.