Customer Review

23 of 23 people found the following review helpful
5.0 out of 5 stars Students: BUY THIS BOOK!!!, August 8, 2002
This review is from: Topology (Undergraduate Texts in Mathematics) (Hardcover)
It is not too often that a book about topology is written with the goal of actually explaining in detail what is going on behind the formalism. The author does a brilliant job of teaching the reader the essential concepts of point set topology, and the book is very fun to read. The reader will walk away with an appreciation of the idea that topology is just not abstract formalism, but has an underlying intuition that is rich in imagery. The author has a knack for allowing readers to "see into the future" of what kind of mathematics is waiting for them and how topology is indispensable in its study.
At the end of chapter three, which deals with the quotient topology, the author writes the following paragraph: "If is often said against intuitive, spatial argumentation that it is not really argumentation but just so much gesticulation - just 'handwaving'. Shall we then abandon all intuitive arguments? Certainly not. As long as it is backed by the gold standard of rigorous proofs, the paper money of gestures is an invaluable aid for quick communication and fast circulation of ideas. Long live handwaving!". This has to rank as one of the best paragraphs that has every appeared in a mathematics book, for it nicely summarizes the need for developing a feel for the concepts behind mathematics before moving on to the rigorous proofs. Physicists in particular, who must assimilate mathematics very quickly in order to apply it to real problems must have a pictorial, "playful" understanding of the mathematical constructions.
Thus the language that the author employs is informal, and a listing of the best discussions in the book would really entail a listing of every one in the book. There is not one part of the book that is not helpful or interesting, and the author delves into many different areas that involve the use of topology.
If you are a beginning student in mathematics, BUY AND STUDY THIS BOOK...BUY AND STUDY THIS BOOK. You will take away so much for the price paid.
Help other customers find the most helpful reviews 
Was this review helpful to you? Yes No

[Add comment]
Post a comment
To insert a product link use the format: [[ASIN:ASIN product-title]] (What's this?)
Amazon will display this name with all your submissions, including reviews and discussion posts. (Learn more)
Name:
Badge:
This badge will be assigned to you and will appear along with your name.
There was an error. Please try again.
Please see the full guidelines here.

Official Comment

As a representative of this product you can post one Official Comment on this review. It will appear immediately below the review wherever it is displayed.   Learn more
The following name and badge will be shown with this comment:
 (edit name)
After clicking the Post button you will be asked to create your public name, which will be shown with all your contributions.

Is this your product?

If you are the author, artist, manufacturer or an official representative of this product, you can post an Official Comment on this review. It will appear immediately below the review wherever it is displayed.  Learn more
Otherwise, you can still post a regular comment on this review.

Is this your product?

If you are the author, artist, manufacturer or an official representative of this product, you can post an Official Comment on this review. It will appear immediately below the review wherever it is displayed.   Learn more
 
System timed out

We were unable to verify whether you represent the product. Please try again later, or retry now. Otherwise you can post a regular comment.

Since you previously posted an Official Comment, this comment will appear in the comment section below. You also have the option to edit your Official Comment.   Learn more
The maximum number of Official Comments have been posted. This comment will appear in the comment section below.   Learn more
Prompts for sign-in
 

Comments

Tracked by 2 customers

Sort: Oldest first | Newest first
Showing 1-2 of 2 posts in this discussion
Initial post: Sep 26, 2011 6:14:40 AM PDT
Thanks Dr Carlson. I've mentioned this before, but your reviews are always so helpful!

Posted on Nov 16, 2011 4:07:17 AM PST
A. Cox says:
I have to agree with Bobby Bambino, I always read your (math book) reviews, and can pretty much say that they are always well written, well balanced and well informed.

But especially thanks to the quote about 'handwaving', I get sick hearing reviewers moaning about 'handwaving' in math books, on what appears to be the assumption that all you need to understand maths is just theorems and proofs.
‹ Previous 1 Next ›

Review Details

Item

5.0 out of 5 stars (6 customer reviews)
5 star:
 (6)
4 star:    (0)
3 star:    (0)
2 star:    (0)
1 star:    (0)
 
 
 
$64.95 $52.46
Add to cart Add to wishlist
Reviewer

Dr. Lee D. Carlson
(VINE VOICE)    (HALL OF FAME REVIEWER)    (REAL NAME)   

Location: Baltimore, Maryland USA

Top Reviewer Ranking: 4,179