Elementary Topology: Second Edition

by Michael C. Gemignani

Book Overview

Topology is one of the most rapidly expanding areas of mathematical thought: while its roots are in geometry and analysis, topology now serves as a powerful tool in almost every sphere of mathematical study. This book is intended as a first text in topology, accessible to readers with at least three semesters of a calculus and analytic geometry sequence. In addition to superb coverage of the fundamentals of metric spaces, topologies, convergence,...

• Format: Paperback
• Language: English
• ISBN: 0486665224
• ISBN13: 9780486665221
• Release Date: November 1990
• Publisher: Dover Publications
• Length: 288 Pages
• Weight: 0.65 lbs.
• Dimensions: 0.6" x 5.4" x 8.5"

Customer Reviews

A model of textbook writing

Gemignani's book explains everything thoroughly and clearly. What's best about it, though, is that the examples are chosen to be do-able and to lock in the material just gone over in the chapter. Anyone who is a student of higher math and wishes to get a good start on topology will benefit greatly from working through this book, and they will enjoy it too.

A wonderful introduction

I used this book for my first course in topology. It's easy to read and well organized. While it is an introduction, the author covers more than other books in it's price range (Baum or Mendelson, for example). The author starts with some set theory basics and then moves to metric spaces, which he uses as motivation for his definition of a topology (Baum and some others use neighborhood systems instead). He then discusses homeomorphism, seperation axioms (T0 through T4), compactness and other topics. The exercises provide a nice level of challenge; they require thought but aren't impossible. I'd recommend this book as a reference, or to anyone interested in higher mathematics. And since it's a Dover book, the prices is right!

A good book as intro in topo

the book follows the straightforward style of proposition-theorem-proof-corollary and full of examples and helpful diagrams. but the notation is not fully compliant with modern topology.

Very interesting book

This book is a very good introduction to the topology theory. It is easily understandable, full of examples and proofs.

Very interesting Book

This book is very interesting, it is easy to read, it presents many examples and proofs.It's usefull if you want to make a BS or a MS in topology