What are some recommended books for elementary math proofs?

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In summary, the conversation discusses the introductory section of Spivak's calculus and its focus on basic mathematical properties such as distributive and associative, as well as the natural emergence of basic operations. The conversation also mentions a proof about 1 being greater than 0 based on the fact that the square of any number must be greater than 0. The conversation then shifts to a recommendation for books that deal with elementary proofs, with the suggestion of "How to Read and Do Proofs" by D. Solow and "The Nuts and Bolts of Proofs" by Antonella Cupillari.
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Jimmy84
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I just started reading the introductory section of Spivak's calculus, and it has an introduction about the main mathematical properties; dristributive, associative etc. also how basic operations such as multiplication arises naturally from addition and division from multiplication.

What caught my attention was a proof about 1 being greater than 0. due to the fact that
n square has to be greater than 0. and since 1 square = 1, then 1 is greater than 0.

Right now I am reading Spivak and Apostol's introduction to basic math but I was wondering if there are books that deal with this kind of elementary proofs, can someone recommend me some?

I don't mean books about logic but about elementary math like the above mentioned. I am having a hard time finding any book about this subject.
 
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  • #2
How to Read and Do Proofs by D. Solow

of course this is at a much more elementary level than Spivak.
 
  • #3
Another is The Nuts and Bolts of Proofs, by Antonella Cupillari.
 

1. What is Elementary Math?

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