An awesome note by Masum bhai
Here is an awesome note on number theory by Masum Bhai (Masum Billal) on number theory. It might help you on topics of Divisibility, Congruence and GCD,LCM with a discussion nice problem collection.
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Nur Muhammad Shafiullah | Mahi
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Nur Muhammad Shafiullah | Mahi
- nafistiham
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Re: An awesome note by Masum bhai
Thanks a lot, Masum Vai
\[\sum_{k=0}^{n-1}e^{\frac{2 \pi i k}{n}}=0\]
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- Sazid Akhter Turzo
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Re: An awesome note by Masum bhai
But the problems are very much easy.
Turzo
Turzo
Re: An awesome note by Masum bhai
I was just looking at the note, and I wouldn't suggest taking this as your main text for learning number theory, as it contains a lot of wrong information. But once you have learned the basics from a proper book then there should be no problem in going through this.
"Everything should be made as simple as possible, but not simpler." - Albert Einstein
- FahimFerdous
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Re: An awesome note by Masum bhai
@Nayel vaia: could you please give examples of some wrong informations? I haven't read it yet, but I will.
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Re: An awesome note by Masum bhai
I personally don't think pointing fingers at someone's mistakes and sharing them in public without the notice of that person is a good thing to do, and I hope you'll never make me do it again. But because you asked, here are a few: there's no proper definition of quotient/remainder, nor a correct proof of their existence; section 1.2 contains a lot of wrong infos; improper definition of gcd and lcm (and of their existence) etc.
"Everything should be made as simple as possible, but not simpler." - Albert Einstein
- FahimFerdous
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Re: An awesome note by Masum bhai
@Nayel vaia: I won't make you do it again. Thanks for this time.
Your hot head might dominate your good heart!
Re: An awesome note by Masum bhai
@Mahi and Turzo: I am deleting both of your posts. This is not a place for quarreling.
"Everything should be made as simple as possible, but not simpler." - Albert Einstein
Re: An awesome note by Masum bhai
I would like to suggest the same too.nayel wrote:I was just looking at the note, and I wouldn't suggest taking this as your main text for learning number theory,
Though I did it for my followers, I didn't check it again, and since I lost my tex file, it is incomplete. But I think it would be a help for the people if you share the mistakes(may be this will be boring to you).nayel wrote: as it contains a lot of wrong information. But once you have learned the basics from a proper book then there should be no problem in going through this.
Oh another confession I must do, as I said, it was for my friends. So I wrote it from a programming view, and since none of them were rigorous in proofs, I didn't really care for a proper formal definition(that certainly is not true for math olympians, as I understand). I just wanted them to have a good sense. But I am wondering about what was wrong in section $1.2$?
One one thing is neutral in the universe, that is $0$.
Re: An awesome note by Masum bhai
পোলাপান, তোমাদের আর যাই হোক $\gcd,lcm$ এইগুলার definition নিশ্চই শিখানের কোন দরকার নাই। যেইটা দরকার সেইটা হইল এইখানে যে প্রব্লেমগুলা আছে ওইগুলা সলভ করা।
বিগিনারদের জন্য কাজে আসতে পারে।
বিগিনারদের জন্য কাজে আসতে পারে।
One one thing is neutral in the universe, that is $0$.