<p>I am looking for a good book on learning math proofs. I have been recommended to one by Solow and another by Velleman. This is for an advanced math student who's easily able to learn proofs, but whose hs teachers didn't cover them. Any ideas?</p>
<p>Both of those are good. If you put each author in an Amazon search, you'll find other titles of similar interest. There are a lot of books in this category, and I don't really have a favorite.</p>
<p>two other recommended authors: paul eccles and, my favorite, nancy rodgers.</p>
<p>Here is another option that doesn't look too expensive:</p>
<p>Antonella Cupillari, The Nuts and Bolts of Proofs</p>
<p>Thanks for the suggestions. I've seen all of those on Amazon except for Nancy Rodgers, who I will check out. The student is using a textbook called "An Introduction to Real Analysis". She doesn't remember the author (phone conversation), but it's going better for her - did really well on the last test. There are two texts with that name on Amazon; they both get good reviews.</p>
<p>You might want to look on abebooks.com for old (50s-60s) geometry textbooks.</p>
<p>You can't go wrong with The Elements: Euclid's</a> Elements, Introduction</p>
<p>I'd recommend "How to Solve It" by Polya. It's not exactly a book on proofs, but anyone who works through it will come out understanding all about mathematical proofs.</p>
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This is for an advanced math student who's easily able to learn proofs, but whose hs teachers didn't cover them. Any ideas?
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<p>Well, if you want an introduction to proofs concerning topics you've already covered, Spivak might be a good starting point. It doesn't necessarily teach you how to do proofs, but I think most students with discipline are able to follow along and write their own proofs pretty easily after a short while.</p>
<p>Spivak. I seem to recall reading about that on a link on CC dealing with,I think, some kind of U of C list of math books. I couldn't find that discussion yesterday; do you happen to remember it? Perhaps you took part in it, or know about the list.</p>
<p>That's it! Thanks!</p>