**Real Numbers and Fascinating Fractions**

by N. M. Beskin

1986

**Description**:

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.

Download or read it online for free here:

**Read online**

(online html)

## Similar books

**Introduction to Analysis**

by

**Ray Mayer**-

**Reed College**

Contents: Notation, Undefined Concepts, Examples; Fields; Induction and Integers; Complexification of a Field; Real Numbers; Complex Numbers; Complex Sequences; Continuity; Properties of Continuous Functions; Derivative; Infinite Series; etc.

(

**7260**views)

**Mathematical Methods for Economic Theory: a tutorial**

by

**Martin J. Osborne**-

**University of Toronto**

This tutorial covers the basic mathematical tools used in economic theory. The main topics are multivariate calculus, concavity and convexity, optimization theory, differential and difference equations. Knowledge of elementary calculus is assumed.

(

**18366**views)

**Set Theory and Topology: An Introduction to the Foundations of Analysis**

by

**Felix Nagel**-

**arXiv**

We provide a formal introduction into the classic theorems of general topology and its axiomatic foundations in set theory. The exposition in this first part includes relation and order theory as well as a construction of number systems.

(

**11886**views)

**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)