Set Theory and Topology: An Introduction to the Foundations of Analysis
by Felix Nagel
Publisher: arXiv 2013
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.
Download or read it online for free here:
Download link
(multiple PDF files)
Similar books
Special Functions, a Reviewby S. Arfaoui, I. Rezgui, A.B. Mabrouk - viXra
The present document is concerned with the review of the most frequently special functions applied in scientific fields. We review their principal properties and their interactions with different branches especially in mathematics ...
(3154 views)
Semi-classical analysisby Victor Guillemin, Shlomo Sternberg - 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.
(7574 views)
Applied Analysisby I.M. Sigal, M. Merkli - 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.
(2777 views)
Lectures on Topics in Analysisby Raghavan Narasimhan - 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.
(6245 views)