Logo

Set Theory and Topology: An Introduction to the Foundations of Analysis

Small book cover: Set Theory and Topology: An Introduction to the Foundations of Analysis

Set Theory and Topology: An Introduction to the Foundations of Analysis
by

Publisher: arXiv
Number of pages: 160

Description:
We provide a formal introduction into the classic theorems of general topology and its axiomatic foundations in set theory. Starting from ZFC, the exposition in this first part includes relation and order theory as well as a construction of number systems.

Home page url

Download or read it online for free here:
Download link
(multiple PDF files)

Download mirrors:
Mirror 1
Mirror 2

Similar books

Book cover: Short introduction to Nonstandard AnalysisShort introduction to Nonstandard Analysis
by - arXiv
These 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.
(12538 views)
Book cover: Semi-classical analysisSemi-classical analysis
by - Harvard University
In semi-classical analysis many of the basic results involve asymptotic expansions in which the terms can by computed by symbolic techniques and the focus of these lecture notes will be the 'symbol calculus' that this creates.
(12620 views)
Book cover: Lectures on Topics in AnalysisLectures on Topics in Analysis
by - Tata Institute of Fundamental Research
Topics covered: Differentiable functions in Rn; Manifolds; Vector bundles; Linear differential operators; Cauchy Kovalevski Theorem; Fourier transforms, Plancherel's theorem; Sobolev spaces Hm,p; Elliptic differential operators; etc.
(11155 views)
Book cover: Elementary Mathematical AnalysisElementary Mathematical Analysis
by - The Macmillan Company
The book presents a course suitable for students in the first year of our colleges, universities, and technical schools. It presupposes on the part of the student only the usual minimum entrance requirements in elementary algebra and plane geometry.
(11303 views)