Introduction to metric and topological spaces

Resource Information

The work Introduction to metric and topological spaces represents a distinct intellectual or artistic creation found in University of Missouri Libraries. This resource is a combination of several types including: Work, Language Material, Books.

Label

Introduction to metric and topological spaces

Statement of responsibility

Wilson A. Sutherland

Title variation

Introduction to metric & topological spaces

Creator

• Sutherland, W. A., (Wilson Alexander)

Subject

• Lehrbuch
• Metric spaces
• Topological spaces

Genre

• Lehrbuch

Language

eng

Summary

"One of the ways in which topology has influenced other branches of mathematics in the past few decades is by putting the study of continuity and convergence into a general setting. This new edition of Wilson Sutherland's classic text introduces metric and topological spaces by describing some of that influence. The aim is to move gradually from familiar real analysis to abstract topological spaces, using metric spaces as a bridge between the two. The language of metric and topological spaces is established with continuity as the motivating concept. Several concepts are introduced, first in metric spaces and then repeated for topological spaces, to help convey familiarity. The discussion develops to cover connectedness, compactness and completeness, a trio widely used in the rest of mathematics. Topology also has a more geometric aspect which is familiar in popular expositions of the subject as r̀ubber-sheet geometry', with pictures of Möbius bands, doughnuts, Klein bottles and the like; this geometric aspect is illustrated by describing some standard surfaces, and it is shown how all this fits into the same story as the more analytic developments. The book is primarily aimed at second- or third-year mathematics students. There are numerous exercises, many of the more challenging ones accompanied by hints, as well as a companion website, with further explanations and examples as well as material supplementary to that in the book." -- Publisher's description

Member of

• Oxford mathematics

Cataloging source

UKM

Dewey number

514.32

Illustrations

illustrations

Index

index present

LC call number

QA611.3

LC item number

.S93 2009

Literary form

non fiction

Nature of contents

bibliography

Series statement

Oxford mathematics