Theories (Day 1)
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- Joined:Wed Dec 15, 2010 10:05 am
- Location:Dhaka
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Topics:
i)Divisibility;
ii)Division Algorithm;
iii)Primes;
iv)The Fundamental Theorem Of Arithmatic
v)G.C.D.
You can follow Barton's Nomber theory book: (Sections: 2.1 , 2.2, 2.3, 3.1)
And also can study from 104 Number theory problems (First 5 topics)
Study hard, try to understand all by yourself first. If you really get stuck somewhere, Post the topic and problem in understanding that. Give a link to that thread here.
(Day 2 will start tomorrow 4:00 P.M.)
i)Divisibility;
ii)Division Algorithm;
iii)Primes;
iv)The Fundamental Theorem Of Arithmatic
v)G.C.D.
You can follow Barton's Nomber theory book: (Sections: 2.1 , 2.2, 2.3, 3.1)
And also can study from 104 Number theory problems (First 5 topics)
Study hard, try to understand all by yourself first. If you really get stuck somewhere, Post the topic and problem in understanding that. Give a link to that thread here.
(Day 2 will start tomorrow 4:00 P.M.)
You spin my head right round right round,
When you go down, when you go down down......(-$from$ "$THE$ $UGLY$ $TRUTH$" )
When you go down, when you go down down......(-$from$ "$THE$ $UGLY$ $TRUTH$" )
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- Posts:461
- Joined:Wed Dec 15, 2010 10:05 am
- Location:Dhaka
- Contact:
Re: Theories (Day 1)
No question still now ? Is there any beginner participating this camp???
You spin my head right round right round,
When you go down, when you go down down......(-$from$ "$THE$ $UGLY$ $TRUTH$" )
When you go down, when you go down down......(-$from$ "$THE$ $UGLY$ $TRUTH$" )
Re: Theories (Day 1)
BOMC-2 is my 1st online camp.so,am I a beginner?
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- Posts:461
- Joined:Wed Dec 15, 2010 10:05 am
- Location:Dhaka
- Contact:
Re: Theories (Day 1)
Actually the beginners are those who are new at problem solving and interested to learn first then problem solving...
You spin my head right round right round,
When you go down, when you go down down......(-$from$ "$THE$ $UGLY$ $TRUTH$" )
When you go down, when you go down down......(-$from$ "$THE$ $UGLY$ $TRUTH$" )
Re: Theories (Day 1)
Well, Vaia, here's a beginner for you.
Problem: If $d=(a,b)$, then, could we PROVE that there exists integers $s$ and $t$ such that $sa-tb=d$ ? (This is a problem from Adler's Book. Although I know that this is true, I have not been able to prove it )
Problem: If $d=(a,b)$, then, could we PROVE that there exists integers $s$ and $t$ such that $sa-tb=d$ ? (This is a problem from Adler's Book. Although I know that this is true, I have not been able to prove it )
Re: Theories (Day 1)
I'm not only beginner but also "Moha beginner"sourav das wrote:No question still now ? Is there any beginner participating this camp???
Now please explain me this.
http://www.matholympiad.org.bd/forum/vi ... 9917#p9917
হার জিত চিরদিন থাকবেই
তবুও এগিয়ে যেতে হবে.........
বাধা-বিঘ্ন না পেরিয়ে
বড় হয়েছে কে কবে.........
তবুও এগিয়ে যেতে হবে.........
বাধা-বিঘ্ন না পেরিয়ে
বড় হয়েছে কে কবে.........
Re: Theories (Day 1)
sowmitra wrote:Well, Vaia, here's a beginner for you.
Problem: If $d=(a,b)$, then, could we PROVE that there exists integers $s$ and $t$ such that $sa-tb=d$ ? (This is a problem from Adler's Book. Although I know that this is true, I have not been able to prove it )
হার জিত চিরদিন থাকবেই
তবুও এগিয়ে যেতে হবে.........
বাধা-বিঘ্ন না পেরিয়ে
বড় হয়েছে কে কবে.........
তবুও এগিয়ে যেতে হবে.........
বাধা-বিঘ্ন না পেরিয়ে
বড় হয়েছে কে কবে.........
Re: Theories (Day 1)
Vaia, sorry, I made a mistake.
The actual problem wrote :$s$ and $t$ have to be positive integers.
I read Theorem-1.5. But, in it $s$ and $t$ may be positive or negative integers.
The actual problem wrote :$s$ and $t$ have to be positive integers.
I read Theorem-1.5. But, in it $s$ and $t$ may be positive or negative integers.