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: 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.
(9683 views)
Book cover: Jacobi Operators and Complete Integrable Nonlinear LatticesJacobi Operators and Complete Integrable Nonlinear Lattices
by - American Mathematical Society
Introduction and a reference to spectral and inverse spectral theory of Jacobi operators and applications of these theories to the Toda and Kac-van Moerbeke hierarchy. It covers second order difference equations, self-adjoint operators, etc.
(11548 views)
Book cover: Transmutations and Applications: a surveyTransmutations and Applications: a survey
by - arXiv
We consider main transmutation theory topics with many applications, including author's own results. The topics covered are: transmutations for Sturm-Liouville operators, Vekua-Erdelyi-Lowndes transmutations, Sonine and Poisson transmutations, etc.
(8937 views)
Book cover: Measure Theory in Non-Smooth SpacesMeasure Theory in Non-Smooth Spaces
by - De Gruyter Open
The aim of this book, which gathers contributions from specialists with different backgrounds, is that of creating a collection of various aspects of measure theory occurring in recent research, increasing interactions between different fields.
(5034 views)