Cheap Old Books to Buy for Math Understanding

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Discussion Overview

The discussion revolves around recommendations for affordable, older mathematics books that can enhance understanding in various areas such as axiomatic set theory, number theory, logic, and real analysis. Participants share suggestions for specific titles and publishers, as well as their experiences with purchasing books online.

Discussion Character

  • Exploratory
  • Technical explanation
  • Homework-related

Main Points Raised

  • One participant expresses interest in foundational mathematics and seeks recommendations for inexpensive, older books in areas like axiomatic set theory and real analysis.
  • Another participant suggests searching for Dover Publications mathematics books, noting their affordability and relevance to the topics mentioned.
  • A different participant recommends a specific book on proofs and elementary analysis, indicating it is suitable for those new to mathematical proofs.
  • There is a discussion about the overwhelming selection of Dover books on Amazon, leading to suggestions for more manageable resources.
  • Participants share links to specific books they have purchased or are considering, including titles related to analysis and abstract algebra.
  • One participant mentions an alternative book retailer, Book Depository, praising their pricing and shipping policies, while also noting a minor concern about packaging.

Areas of Agreement / Disagreement

Participants generally agree on the value of Dover Publications for affordable mathematics books, but there is no consensus on specific titles or the best approach to selecting books for self-study.

Contextual Notes

Some participants express uncertainty about the best resources for self-learners, indicating that the selection of books can be overwhelming. There are also varying levels of experience with mathematical proofs among participants, which may influence their recommendations.

Who May Find This Useful

Individuals interested in self-studying mathematics, particularly in foundational topics and those looking for budget-friendly book options.

TylerH
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I'm ordering Elements of Real Analysis (David A. Sprecher) from Amazon and find the fact that I'm paying more for shipping than the book counter intuitive. I'll probably end up buying more books later, so why not buy them and save on shipping(Amazon has free shipping for 25+)? So, my [non-rhetorical] question is: what are some cheap, old, but good books I should buy?

I'm interested in:
  • Axiomatic Set Theory
  • Diophantine Equations(and similar Number Theory)
  • Logic(the concept of nth-Order and the concept of Axiomatic Systems)
  • Real Analysis
Basically, my goal is to understand math from a base level where there is a small set of axioms from which everything can be derived. Or... if my understanding of Godel's Incompleteness Theorem is correct, and it is impossible to find a base level of math, then I want to learn everything it takes to come to terms with it.
 
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Also, if there are any books for Real Analysis that are considered better than the one I'm getting, please tell me.
 
You could search Amazon Books for Dover Publications mathematics. That will return lots of inexpensive Dover reprints on the subjects you listed above, plus many more.
 
If you don't have much experience with proofs, I would recommend you get the $7 copy of this:

https://www.amazon.com/dp/0130332674/?tag=pfamazon01-20

that qualifies for free shipping as well. The beginning of this book is great for teaching about proofs, and the rest of the book presents elementary analysis (which is all I know ...). If you are already comfortable with this, then igore my post!

otherwise, I agree with previous poster.

jason
 
Last edited by a moderator:
Jason: Great suggestion, thanks. I'm buying it.

Petek: Also great, but WAY too large of a selection for an self learner. I've picked out https://www.amazon.com/gp/product/0486682528/?tag=pfamazon01-20 and I'm looking for one more.

Any suggestions on books about spaces or abstract algebra? (Possibly one of the 20 or so from Dover.)
 
Last edited by a moderator:
Ashuron said:
well the answer for your question is...
http://www.bookdepository.co.uk/
Yes, I love those guys. I don't know how they manage to have lower prices than Amazon on most things AND free shipping worldwide (with no minimum order).

My only (small) complaint is that the bubble envelope they send small orders in doesn't protect the corners of paperbacks (like Dover) very well. Other than that, they are brilliant.
 

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