Beschreibung
InhaltsangabeIntroduction. Part I: Infinitesimal Analysis. 1. Excursions 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. Part II: 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. Index.
