Hacker News Comments on
Numbers and Functions: Steps into Analysis
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All the comments and stories posted to Hacker News that reference this book.I couldn't disagree more. I studied Analysis in the Uni, and even in that environment Rudin is pretty bad. For a total newcomer that book will leave you completely helpless. Also, solutions are a must have, without them you are almsot totally lost. In their absence, it is OK to ask on StackExchange or #math on EFnet.First let's start with a few books to prep you for college-level maths:
* https://www.amazon.com/How-Study-as-Mathematics-Major-ebook/...
* https://www.amazon.com/How-Read-Proofs-Introduction-Mathemat... ; or
* https://www.amazon.com/Numbers-Proofs-Modular-Mathematics-Al... ; or
* https://www.amazon.com/How-Prove-Structured-Daniel-Velleman-... (I believe you can find solutions to the 2nd edition online)
For Single-Variable Analysis
* https://www.amazon.com/Think-About-Analysis-Lara-Alcock/dp/0...
* https://www.amazon.com/How-Why-One-Variable-Calculus/dp/1119...
* https://www.amazon.com/Mathematical-Analysis-Straightforward... (contains solutions to exercises)
* https://www.amazon.com/Understanding-Analysis-Undergraduate-... (there are solutions online for the 2nd edition)
* https://www.amazon.com/Numbers-Functions-Steps-into-Analysis... (this book is a brilliant exercise-guided approach that helps you build up your knowledge step by step + solutions are provided).
⬐ KoshkinAgree, Rudin is excellent as a second course on real analysis, but as a first one it is absolutely terrible.⬐ bell-cot+1, but nitpicking: There are situations where baby Rudin ("Principles of Mathematical Analysis") can be very good for a first course...but those are corner cases, that you'd want a really good, experienced instructor to sign off on.