Logo

Short introduction to Nonstandard Analysis

Small book cover: Short introduction to Nonstandard Analysis

Short introduction to Nonstandard Analysis
by

Publisher: arXiv
Number of pages: 197

Description:
These lecture notes offer a short and rigorous introduction to Nostandard Analysis, mainly aimed to reach to a presentation of the basics of Loeb integration, and in particular, Loeb measures. The Abraham Robinson version of Nostandard Analysis is pursued, with a respective incursion into Superstructures. Two formal languages are used, one simpler at first, and then later, one for the full blown theory.

Home page url

Download or read it online for free here:
Download link
(830KB, PDF)

Similar books

Book cover: Theory of the IntegralTheory of the Integral
by - Polish Mathematical Society
Covering all the standard topics, the author begins with a discussion of the integral in an abstract space, additive classes of sets, measurable functions, and integration of sequences of functions. Succeeding chapters cover Caratheodory measure.
(10989 views)
Book cover: Reader-friendly Introduction to the Measure TheoryReader-friendly Introduction to the Measure Theory
by - Yetanotherquant.de
This is a very clear and user-friendly introduction to the Lebesgue measure theory. After reading these notes, you will be able to read any book on Real Analysis and will easily understand Lebesgue integral and other advanced topics.
(8493 views)
Book cover: Advanced Calculus and AnalysisAdvanced Calculus and Analysis
by - University of Aberdeen
Introductory calculus course, with some leanings to analysis. It covers sequences, monotone convergence, limits, continuity, differentiability, infinite series, power series, differentiation of functions of several variables, and multiple integrals.
(24896 views)
Book cover: Applied AnalysisApplied Analysis
by - University of Toronto
In this course, we deal with modern analysis. Properties of functions are studied as much as they are needed for understanding maps. More specifically, our emphasis is on applications of modern analysis and the material is selected accordingly.
(4506 views)