**Real Variables: With Basic Metric Space Topology**

by Robert B. Ash

**Publisher**: Institute of Electrical & Electronics Engineering 2007**ISBN/ASIN**: 0486472205**Number of pages**: 213

**Description**:

This is a text for a first course in real variables for students of engineering, physics, and economics, who need to know real analysis in order to cope with the professional literature in their fields. The book tends to avoid standard mathematical writing, with its emphasis on formalism, but a certain amount of abstraction is unavoidable for a coherent presentation.

Download or read it online for free here:

**Download link**

(79MB, PDF)

## Similar books

**Metric and Topological Spaces**

by

**T. W. Körner**-

**University of Cambridge**

Contents: What is a metric?; Examples of metric spaces; Continuity and open sets for metric spaces; Closed sets for metric spaces; Topological spaces; Interior and closure; More on topological structures; Hausdorff spaces; Compactness; etc.

(

**3019**views)

**General Topology**

by

**Pierre Schapira**-

**Université Paris VI**

The aim of these lecture notes is to provide a short and self-contained presentation of the main concepts of general topology. Table of contents: Topological spaces; Metric spaces; Compact spaces; Banach spaces; Connectness and homotopy.

(

**4525**views)

**Elementary Topology**

by

**O. Ya. Viro, O. A. Ivanov, N. Yu. Netsvetaev, V. M. Kharlamov**-

**American Mathematical Society**

This textbook on elementary topology contains a detailed introduction to general topology and an introduction to algebraic topology via its most classical and elementary segment centered at the notions of fundamental group and covering space.

(

**10719**views)

**A First Course in Topology: Continuity and Dimension**

by

**John McCleary**-

**American Mathematical Society**

A focused introduction to point-set topology, the fundamental group, and the beginnings of homology theory. The text is intended for advanced undergraduate students. It is suitable for students who have studied real analysis and linear algebra.

(

**11184**views)