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Thank you.

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- Thread starter mishaark
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Thank you.

- #2

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Furthermore, if you want everything to be explained, then you will need to deal with proofs. So before reading abstract algebra, you should read up on mathematical proofs.

If you wish to try out abstract algebra, then I can recommend the book "A first course in Algebra" by Fraleigh. Everybody who is familiar with proofs will be able to tackle this book. But it will still be a difficult read.

If you want to do proofs and sets first, then Velleman's "how to prove it" is a good read.

I realize that I have not been helpful at all. As I understood your questions, you wanted easy books that explain everything. I have given you hard books. The problem is that there are no easy books that explain it all (as far as I'm aware). I think your best bet is posting the questions you have on the forums here. That way you won't have to read an entire book.

- #3

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Most arithmetic algorithmic (e.g. long/synthetic division, multiplication with multi-digit numbers, &c.), however, are things that you should easily be able to justify on your own if you know a bit of algebra.

If you want to find out how mathematics is done, I'd recommend watching Vi Hart's Youtube channel and reading Hilbert's

Good luck!

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One stop shop: What is Mathematics? - Richard Courant

https://www.amazon.com/dp/0195105192/?tag=pfamazon01-20

https://www.amazon.com/dp/0195105192/?tag=pfamazon01-20

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- #5

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Mathematics: Form and Function by MacLane

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Mathematics: Form and Function by MacLane

MacLane? Really? That may be too advanced, don't you think? The OP asks for a book on basic math/pre-algebra!

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MacLane? Really? That may be too advanced, don't you think? The OP asks for a book on basic math/pre-algebra!

Well, I've read just the beginning, but it seems any person could understand a lot of this book. Look at wiki entry. I guess at least first part of the book is readable by anyone. It definitely is "behind the scenes" book. But yeah, this is perhaps too much philosophy, it seems the OP is looking for something more practical.

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I would suggest that you look into the above mentioned books and see if something fits you. Good luck!

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