The German mathematician Klaus Janich has a wonderful response to this question in his book on topology, which is intentionally very. Topology. Klaus Janich. This is an intellectually stimulating, informal presentation of those parts of point set topology that are of importance to the nonspecialist. Topology by Klaus Janich: Forward. Content. Sample. Back cover. Review.
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Skip to main content. A book that I find very readable is “Topology” by John G. The lowest-priced brand-new, unused, unopened, undamaged item in its original packaging where packaging is applicable. I know it’s been a while and I entirely don’t expect an answer, but klaud you still hold this view?
GamelinPaperback, Revised, Unabridged. Mathematics Hardcover Signed Books.
You may also like. Well said, although the thing I tlpology don’t like about intuitive handwaving is that intuition differs from person to person. Sign up using Facebook.
Dignaga 2 5. Hopology that topology is very terminology-intensive, this is a real problem. It is far too chaotic and chatty, and one needs a lot of background to appreciate the connections he draws to other areas of mathematics.
It’s a great book to introduce applied topology, although it stops just short of using groups. The students learn the concepts fast, their theoretical language to explicate honed, and their visualization skills improved.
A fairly streamlined book, although initially gentle, is Essential Topology by Crossley. My answer was you should not change your first choise. What have they seen and not seen yet?
textbook recommendation – A book in topology – MathOverflow
Anyway, I read Hatcher only a few months ago to study for a qualifying exam. I’d recommend a combination. Sign up using Email and Tooplogy. I have little teaching experience, but I remember being a student and based on that I believe that a few years ago I would have also liked this book. Thank you, the book seems to be very good. Illustrated Mathematics Hardcover Books.
Undergraduate Texts in Mathematics: Topology by Klaus Jänich (1994, Hardcover)
I am an undergraduate student. For example, to describe journeys between towns, you look at all journeys, without a special emphasis tipology return journeys. For a basic course in topology, I recommend these books based on my experience as student. While this is intuitively clear, it requires some work to prove.
algebraic topology – How much rigour is necessary? – Mathematics Stack Exchange
But since algebraic topology is so closely related to classical geometry, completely abstract reasoning would probably strip away much understanding of the sources of most of the central concepts,which I believe was Hatcher’s reason for writing the text in this manner.
Best Selling in Textbooks, Education See all. In the past I have used two different books: Do you know, what is all of this business about having to get a password in order to print the book? The German mathematician Klaus Janich has a wonderful response to this question in his book on topology, which is intentionally very non-rigorous and janidh. Thank you very much.
More geometric is Lee’s Introduction to Topological Manifoldsit is also very student friendly. It was later said by Levy that Janich told him that this particular passage was inspired by Janich’s janicu that German mathematical academia and textbooks in particular were beginning to become far too axiomatic and anti-visual and that this was hurting the clarity of presentations to students.