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The author is a typical geometrical mathematicians who is really good at intuitive imagination. However, I am not so sensitive to geometry but prefer analysis and algebra. So when I saw another classical textbook by Munkres, I thought that may be better for learners who lack strong intuitive imagination about geometry.Even though, this is a great topological textbooks for undergraduate mathematical students, I personally suggest that readers enforce the intuitive imagination about geometry migh...
This book was my Moral Equivalent of War (in the sense of William James) ... basically, it made me the man I am today by revealing in ridiculous desperation my intellectual and emotional frontiers through my ultimately self-flaggelating perseverence. I believe this book gave me PTSD. Highly recommended for 1) smart people, I mean, really smart; and 2) complete idiots. This book taught me that I cannot even prove that I am not a mathematician.
Can I say how..."sloppy" this book is written? If you read this on your own, you will need to have a "guide" or use this as a textbook (which I recommend you use this as) because Armstrong expects you to know even the simplest details. There are a few areas in here that you do need to work out on your own and you do run into a few stumbles that are tricky. There are details in here that need to be clarified, just of how, again, this is written.
I am in no position to judge this book, but what I know is that it has a lot more explanatory paragraphs about motivations, then most textbooks.
This book takes some maturity to work through all the problems, so I struggled, but I found it very rewarding.
There is nothing basic about it tbh.
i found this book very difficult to use. i found it terse, and hand-wavy (bad as an intro book). definitions are buried in large blocks of the text (bad as a reference book). there's very little focus on point-set topology which will disappoint analysts, but every section is only 4-5 pages long so even the algebraic/geometric flavored topics which comprise 75% of the book feel like they were thrown together without much thought.in short, it's just a mess.
The title to this book is awfully deceptive. While the material it cover's is indeed "Basic Topology", the book makes it anything but "Basic". There are errors in the text and the homework problems are ridiculously challenging for a book which is supposed to be a "first exposure" on the subject. In fact, the title of the book can be questioned as to whether or not the content is truly "basic". In addition to covering the fundamental group and the classification of covering spaces, the book also
informatin about topology