Which is the best proofwriting book for analysis?

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Discussion Overview

The discussion revolves around recommendations for proof writing books in the context of studying mathematical analysis. Participants share their experiences with various texts and their suitability for self-study.

Discussion Character

  • Exploratory
  • Technical explanation
  • Debate/contested

Main Points Raised

  • One participant expresses a need for guidance on selecting a proof writing book for analysis, seeking recommendations from more knowledgeable individuals.
  • Another participant mentions a specific book they studied, noting its coverage of basic logic, set theory, and introductory analysis, while stating it may not be the best but was helpful for self-study.
  • A third participant provides a link to a free online proof writing book, suggesting it as a resource for those interested.
  • Another participant shares their positive experience with Chartrand's book, indicating it was affordable and beneficial for their studies.
  • One participant mentions a different book they have ordered, implying they believe it to be a good choice without further elaboration.

Areas of Agreement / Disagreement

Participants do not reach a consensus on a single best book, as multiple recommendations are provided, each with varying degrees of endorsement and personal experience.

Contextual Notes

Some participants express uncertainty about the best choice, indicating that personal preferences and study needs may influence the effectiveness of the recommended books.

Who May Find This Useful

Students preparing for analysis courses, individuals interested in improving their proof writing skills, and those seeking self-study resources in mathematics.

Levi Tate
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Hello, I am going to be taking analysis and to ease the pain a little bit I wanted to do a treatment of proof writing here for the next month. I am not sure which book to order. If any of you people who are more knowledgeable on the subject than me could let me know of a good book and an area of focus, it would be a big help to me, thank you

Justin
 
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Back in September of Last year, I started studying this book to get me started on proofs
https://www.amazon.com/dp/1420069551/?tag=pfamazon01-20

I certainly wouldn't say its the best book of its kind, but it did help me tremendously. It covers basic logic, set theory, relations, functions, and it goes into the cardinality of sets as well. The last two chapters are on basic analysis and algebra. I think it's perfect for self study.
 
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I'm about halfway through Chartrand's book (first edition). I've found it to be great and it was less than $10 on abebooks. Here's a link to the second edition:

https://www.amazon.com/gp/product/0321390539/?tag=pfamazon01-20

The above recommendation, Book of Proof, is nice as well from what I read of it. You can buy it new as a physical book for about $10 as well.
 
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