**Quick Tour of the Topology of R**

by StevenHurder, DaveMarker

**Publisher**: University of Illinois at Chicago 2003**Number of pages**: 48

**Description**:

These notes are a supplement for the 'standard undergraduate course' in Analysis at the University of Illinois at Chicago. The aim is to present a more general perspective on the incipient ideas of topology encountered when exploring the rigorous theorem-proof approach to the results of Calculus.

Download or read it online for free here:

**Download link**

(370KB, PDF)

## Similar books

**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.

(

**4439**views)

**General Topology**

by

**Jesper M. Moller**

These notes are an introduction to general topology. They should be sufficient for further studies in geometry or algebraic topology. The text covers: Sets and maps; Topological spaces and continuous maps; Regular and normal spaces; etc.

(

**6759**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.

(

**6343**views)

**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.

(

**3339**views)