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: Introduction to AnalysisIntroduction to Analysis
by - Reed College
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.
(4444 views)
Book cover: An Introduction to Asymptotic AnalysisAn Introduction to Asymptotic Analysis
by - Heriot-Watt University
From the table of contents: Order notation; Perturbation methods; Asymptotic series; Laplace integrals (Laplace's method, Watson's lemma); Method of stationary phase; Method of steepest descents; Bibliography; Notes; Exam formula sheet; etc.
(3450 views)
Book cover: Lecture Notes on the Theory of DistributionsLecture Notes on the Theory of Distributions
by - Universitaet Wien
From the table of contents: 1. Test Functions and Distributions; 2. Differentiation, Differential Operators; 3. Basic Constructions; 4. Convolution; 5. Fourier Transform and Temperate Distributions; 6. Regularity; 7. Fundamental Solutions.
(5703 views)
Book cover: Mathematical Methods for Economic Theory: a tutorialMathematical Methods for Economic Theory: a tutorial
by - University of Toronto
This tutorial covers the basic mathematical tools used in economic theory. The main topics are multivariate calculus, concavity and convexity, optimization theory, differential and difference equations. Knowledge of elementary calculus is assumed.
(12693 views)