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Nonstandard Methods of Analysis

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 pai...

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Bibliographic Details
Main Authors: Kusraev, A.G., Kutateladze, Semën Samsonovich (Author)
Format: eBook
Language:English
Published: Dordrecht Springer Netherlands 1994, 1994
Edition:1st ed. 1994
Series:Mathematics and Its Applications
Subjects:
Functional Analysis
Optimization
Mathematical Logic
Functions Of Real Variables
Topology
Real Functions
Mathematical Logic And Foundations
Mathematical Optimization
Online Access:
Collection: Springer Book Archives -2004 - Collection details see MPG.ReNa
Table of Contents:
  • 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

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