**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

**Short introduction to Nonstandard Analysis**

by

**E. E. Rosinger**-

**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)

**Semi-classical analysis**

by

**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.

(

**12620**views)

**Lectures on Topics in Analysis**

by

**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.

(

**11155**views)

**Elementary Mathematical Analysis**

by

**J.W. Young, F.M. Morgan**-

**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)