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Title: General Topology (Graduate Texts in Mathematics Series, Vol 27) by John L. Kelley ISBN: 0-387-90125-6 Publisher: Springer Verlag Pub. Date: June, 1997 Format: Hardcover Volumes: 1 List Price(USD): $64.95 |
Average Customer Rating: 4.4 (5 reviews)
Rating: 5
Summary: Topology with the analyst in mind!
Comment: I don't hesitate to give this book 5 stars. It is solid! Many reviewers allow too much personal judgement to cloud their appraisal of a certain book. To me I believe it is important to be as dispassionate as possible so that a prospective buyer can make an unbiased decision. Rather than label a book as "bad" or "good" one should focus on some factors such as:
(1) Content: a summary of the main point covered by the book (this is optional). In the case of this book, this is obvious from the title.
(2) the author's approach: Kelly took what I call the "analyst's approach" to topology. This is fine for those who love analysis but don't really care for topology for it's own sake (like me!) By using this approach, those like me are much more inclined to find topology motivating because ones sees it as abstractions of what one is familiar with
(3) the presentation: Kelly gave a simple but "sophisticated" presentation. You will not describe him as very expository but the presentation is excellent. Some people seem to prefer this style and some don't. No, this has nothing to do with the so-called "mathematical maturity" (how do you define that by the way?) What the author expects you to know to understand the book - that is, the intended audience - is usually stated clearly in the preface
Rating: 5
Summary: best book I have read in every science
Comment: the strength of the book is that you can have no background whatsoever in Topology (or even advanced calculus) and still be able to read it;
for me, the best book I have read in every science.
the reader will have to be at a certain level before attempting
to read it.
Rating: 2
Summary: May have been good in its day
Comment: I cannot agree with the other reviewers on this. Back in the days when there were hardly any general texts on topology this may have been good. Nowadays there are at least a dozen such that are far better than this. The printing fonts and layout are spidery and primitive and not easy on the eye. The style is rather formal and dry for a subject as rich as this and little effort is put into illustrating the material with background, diagrams or examples. As I said before there is no shortage of better texts amongst which Hocking & Young is worth special mention.
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