Need books on algebra to solve those overwhelming equations

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A 13-year-old student expresses a passion for algebra and seeks more advanced material beyond basic equations. They are looking for challenging algebra resources to enhance their skills before Christmas. In response, a recommendation is made for a book that effectively teaches algebra to dedicated learners, emphasizing that it should be approached thoughtfully. Additionally, "An Adventurer's Guide to Number Theory" is suggested as a suitable next step, providing an introduction to pure mathematics that aligns with the student's current understanding while also presenting challenges. The discussion highlights the importance of mathematical maturity for deeper comprehension of advanced topics.
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hi I'm 13 years old and I'm in my last year at junior high. I have always loved algebra and the feeling i get when i solve them ^^. i do have some basic knowledge (mstly pure logic lol) on how to solve algebraic equations and such. however i want to know more advanced algebra not stuff like 2x+3=35+7/68 more challenging than that, pleas erespond before christmas so i can wish for it :) Merry Christmas!

Cheers.
 
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If you are really into algebra, and you want some very challenging material, you might be ready for some very elementary number theory.

For starters try out "An Adventurers Guide to Number Theory" by Friedberg. Alot of it might go over your head, but its also written in such a way that, even if you aren't ready to tackle some of the question the book poses, you can still get a feel for what some pure mathematics is all about. As far as technical math skills go, you really don't need anything past basic algebra/arithmatic (you deal with integers and integers only), though to really understand some of the material, being more mathematically mature would help.

I think for someone with your level of math, this book is just the right level of "hard" and "understandable."
 
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