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: Introduction to AnalysisIntroduction to Analysis
by - Purdue University
Students learn to write proofs while at the same time learning about binary operations, orders, fields, ordered fields, complete fields, complex numbers, sequences, and series. We also review limits, continuity, differentiation, and integration.
(10551 views)
Book cover: Multivector Differential CalculusMultivector Differential Calculus
by - arXiv
This paper treats the fundamentals of the multivector differential calculus part of geometric calculus. The multivector differential is introduced, followed by the multivector derivative and the adjoint of multivector functions.
(10936 views)
Book cover: Special Functions and Their Symmetries: Postgraduate Course in Applied AnalysisSpecial Functions and Their Symmetries: Postgraduate Course in Applied Analysis
by - University of Leeds
This text presents fundamentals of special functions theory and its applications in partial differential equations of mathematical physics. The course covers topics in harmonic, classical and functional analysis, and combinatorics.
(15776 views)
Book cover: Set Theory and Topology: An Introduction to the Foundations of AnalysisSet Theory and Topology: An Introduction to the Foundations of Analysis
by - arXiv
We provide a formal introduction into the classic theorems of general topology and its axiomatic foundations in set theory. The exposition in this first part includes relation and order theory as well as a construction of number systems.
(12299 views)