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
Bernoulli Polynomials and Applicationsby Omran Kouba - arXiv
In these notes we try to familiarize the audience with the theory of Bernoulli polynomials; we study their properties, and we give, with proofs and references, some of the most relevant results related to them. Several applications are presented.
(10069 views)
An Introduction to Asymptotic Analysisby Simon J.A. Malham - 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.
(9176 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.
(10307 views)
Lecture Notes on the Theory of Distributionsby Guenther Hoermann, Roland Steinbauer - 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.
(11902 views)