**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

**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.

(

**6401**views)

**Real Numbers and Fascinating Fractions**

by

**N. M. Beskin**

This text introduces the interesting and valuable concept of continued fractions. Contents: Two Historical Puzzles; Formation of Continued Fractions; Convergents; Non-terminating Continued Fractions; Approximation of Real Numbers.

(

**10257**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.

(

**19354**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.

(

**2245**views)