Essential Topology

by Martin D. Crossley

This book brings the most important aspects of modern topology within reach of a second-year undergraduate student. It successfully unites the most exciting aspects of modern topology with those that are most useful for research, leaving readers prepared and motivated for further study. While containing all the key results of basic topology, the book never allows itself to get mired in details. Instead, the focus throughout is on providing interesting...

• Format: Paperback
• Language: English
• ISBN: 1852337826
• ISBN13: 9781852337827
• Release Date: July 2005
• Publisher: Springer
• Length: 224 Pages
• Weight: 1.15 lbs.
• Dimensions: 0.8" x 6.1" x 9.2"

Customer Reviews

Best Intro to Topology

Topics are well motivated. Theorems are proved in a rigorous yet intuitive style that one feels like it was an explanation rather than a dry proof typically found in the advanced math books. Important key ideas are also sufficiently illustrated through examples and exercises. If one finds it verbose, I'd recommend croom--a bit more like the typical math books but accessible.

Best undergraduate topology book

I have never seen such a beatiful explanation on continuity and its relations to series and sets. Now I understand why, when mathematics is lousily explained,everything seemms to be so hard. I recommend strongly this book for someone for self study on topology. Hope the author can write on other topics of mathematics.

A pleasure to read

I have a major in math, many years ago. I have moved into economics, but miss the elegance of math, hence I decided to revisit some old topics, and started with topology. As a student we used lecture notes and no real textbook, so my choice now was this textbook. It is a pure pleasure to read. I wish we had used it as a text book when I studied. The topics are well motivated. Crossley does a good job in explaining why we should care about these particular lemmas and theorems. The proofs are usually elegant. I find the estetic pleasures a good math book should provide.