Topology Book from 1974 for Self Study

[@martinhawrylkiewicz2025]

Munkres' General Topology was the textbook I learned Topology from in 1st year grad school. Excellent text book for self study as well.

[@ClumpypooCP]

Yea munkres is great

[@dariosilva85]

Do you have any books or resources that specifically targets proof writing? You said: "in order to learn topology, you first have to know how to write proofs" .

[@fightwithbiomechanix]

The Math Sorcerer has a video on books for proof writing in another video

[@ClumpypooCP]

a book on intro to discrete math probably

[@thomasarnoldussen263]

Tao has a nice exposition on proof writing in an appendix to his book Analysis I. The author of the free online book "Topology Without Tears" has some videos explaining proof writing: kzbin.info/www/bejne/imLWn4WHeraoe80si=_i1PclGkYG9HmEj5 For a full on book: what we used at my university was "Mathematical Proofs: A Transition to Advanced Mathematics" by Chartrand, Polimeni and Zhang. The first ten chapters should be more than enough to get you up to speed. The first chapter of Munkres' Topology covers about the same topics but a lot quicker (mainly used as a refresher or to fill in the gaps in knowledge to be able to start learning topology), if you're ambitious you could take a look at it alongside the proof book, do some exercises for extra practice. Good luck in your learning journey and don't forget to have fun!

[@dariosilva85]

@@thomasarnoldussen263 Thanks for all your great tips.

[@iwack]

Check out Velleman's "How to Prove It". If you're starting out, that book should be all you need. The further you go you may like to check out more, but for your circumstance, this is the book I recommend.

[@PropannaKantiBiswas]

Is the set of all irrational number homeomorphic to the space of all infinite subset of the set of natural number.

[@cziegl3r]

what qualifies as substantial proof writing experience :p ? I've taken Intro to Proofs, Abstract Algebra, Discrete Math. I will be taking Real Analysis in a few months and plan on doing some preemptive self study on it. I'll have my bachelors probably by the summer, and am seriously considering applying to do a master's in "computational math".

[@pabastian]

"It used to belong to a library, until I took it from there" LOL