**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

**Point-Set Topology: Course**

by

**Peter Saveliev**-

**Intelligent Perception**

This is an introductory, one semester course on point-set topology and applications. Topics: topologies, separation axioms, connectedness, compactness, continuity, metric spaces. Intended for advanced undergraduate and beginning graduate students.

(

**3641**views)

**Topology**

by

**David Wilkins**-

**Trinity College, Dublin**

The lecture notes for course 212 (Topology), taught at Trinity College, Dublin. Topics covered: Limits and Continuity, Open and Closed Sets, Metric Spaces, Topological Spaces, Normed Vector Spaces and Functional Analysis, Topology in the Plane.

(

**6546**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.

(

**11364**views)

**Topology Without Tears**

by

**Sidney A. Morris**

It provides a thorough grounding in general topology: introduction, topological spaces, the Euclidian topology, limit points, homeomorphisms, continuous mappings, metric spaces, compactness, finite products, countable products, Tychonoff's theorem.

(

**12278**views)