**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 Applications**

by

**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.

(

**2769**views)

**Theory of the Integral**

by

**Stanislaw Saks**-

**Polish Mathematical Society**

Covering all the standard topics, the author begins with a discussion of the integral in an abstract space, additive classes of sets, measurable functions, and integration of sequences of functions. Succeeding chapters cover Caratheodory measure.

(

**8659**views)

**Problems in Mathematical Analysis**

by

**B. P. Demidovich**-

**MIR Publishers**

This collection of problems and exercises in mathematical analysis covers the maximum requirements of general courses in higher mathematics for higher technical schools. It contains over 3,000 problems covering all branches of higher mathematics.

(

**18877**views)

**Orbital Integrals on Reductive Lie Groups and Their Algebras**

by

**Francisco Bulnes**-

**InTech**

The purpose is to present a complete course on global analysis topics and establish some orbital applications of the integration on topological groups and their algebras to harmonic analysis and induced representations in representation theory.

(

**5075**views)