**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

**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.

(

**16247**views)

**Calculus and Differential Equations**

by

**John Avery**-

**Learning Development Institute**

The book places emphasis on Mathematics as a human activity and on the people who made it. From the table of contents: Historical background; Differential calculus; Integral calculus; Differential equations; Solutions to the problems.

(

**15330**views)

**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.

(

**7995**views)

**An Introduction to Asymptotic Analysis**

by

**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.

(

**7017**views)