What are some recommended proof books for strengthening math abilities?

Physteo
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Hi guys! I writing to you because I need an help. I need to strenghten my abilities to make proofs in maths. I would like to have some suggestions, something usefull to read, ...
Thank you :)
 
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There are several books out there. Here are a couple of titles:
The Nuts and Bolts of Proofs, Antonella Cupillari, Wadsworth Publishing Co.
Math Proofs Demystified, Stan Gibilisco, McGraw-Hill
 

Thread 'Finding the nth roots of a complex number'

There are two things I don't understand about this problem. First, when finding the nth root of a number, there should in theory be n solutions. However, the formula produces n+1 roots. Here is how. The first root is simply ##\left(r\right)^{\left(\frac{1}{n}\right)}##. Then you multiply this first root by n additional expressions given by the formula, as you go through k=0,1,...n-1. So you end up with n+1 roots, which cannot be correct. Let me illustrate what I mean. For this...
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