Search found 25 matches

by Rabeeb
Mon Dec 29, 2014 6:40 pm
Forum: Higher Secondary Level
Topic: Looking for projective geometry books
Replies: 7
Views: 8789

Looking for projective geometry books

Can any1 give me links for some projective geometry books and articles?
*Projective geometry by HSM Coxeter is specially preferred
by Rabeeb
Fri Sep 20, 2013 7:28 pm
Forum: Junior Level
Topic: সহজ, কিন্তু সহজ নয়
Replies: 4
Views: 3180

Re: সহজ, কিন্তু সহজ নয়

গত ৬ সেপ্টেম্বর অনুষ্ঠিত হয় ৬ষ্ঠ দিনাজপুর গণিত উৎসব । নিচে দেয়া সমস্যাটি এসেছিল সেকেন্ডারি গ্রুপে। মনে হয় পারসি, কিন্তু ভাল কোন লজিক পাচ্ছি না। :roll: :roll: :roll: :roll: :roll: । সাহায্য কর। সমস্যাঃ একটি গুণোত্তর ধারার প্রথম পদ 1। ৫ম পদ a^4 এবং ৫ম পদ পর্যন্ত সমষ্টি 0। (১) a এর বাস্তব মান আছে? ...
by Rabeeb
Fri Sep 20, 2013 6:57 pm
Forum: Secondary Level
Topic: Help 2 prove (Combi.)
Replies: 3
Views: 2898

Re: Help 2 prove (Combi.)

Wow, that was easy... & intelligent,too! However, I came up with a twisted critical proof today :lol: . Plz suggest me some effective books on Combinatorics(other than the 3 in the last camp) that cover some advanced topics.
by Rabeeb
Thu Sep 19, 2013 3:36 pm
Forum: Secondary Level
Topic: Help 2 prove (Combi.)
Replies: 3
Views: 2898

Help 2 prove (Combi.)

$\sum_{k=0}^{a}\binom{a}{k}\binom{b}{k}=\binom{a+b}{a}=\binom{a+b}{b}$ when a\leq b.
For equality, $\sum_{k=0}^{a}\binom{a}{k}^{2}=\binom{2a}{a}$
How do u prove it?
by Rabeeb
Thu Sep 19, 2013 3:17 pm
Forum: Secondary Level
Topic: Prime Range
Replies: 2
Views: 1816

Re: Prime Range

:D Well, u got a simpler proof... Didn't know about Bertrand's Postulate earlier... I was thinking to work out with Goldbach's Weak Conjecture instead...
by Rabeeb
Sat Sep 14, 2013 11:51 pm
Forum: Secondary Level
Topic: Prime Range
Replies: 2
Views: 1816

Prime Range

Prove that any prime number is less than thrice the previous prime number
by Rabeeb
Thu Feb 28, 2013 2:35 pm
Forum: Secondary Level
Topic: Congruence
Replies: 10
Views: 5344

Re: Congruence

If $4a+3b \equiv 1 \pmod{5}$ and $b \equiv 2 \pmod{3}$, $3a+b \equiv ? \pmod{5}$ (the least positive residue/reminder) The solution is much more simple than the given one: $4a+3b \equiv 1 \pmod{5} \Rightarrow 12a+9b \equiv 3 \pmod{5}$** $\Rightarrow 12a+4b \equiv 3 \equiv 8 \pmod{5} \Rightarrow 3a+...
by Rabeeb
Thu Feb 28, 2013 1:43 pm
Forum: Secondary Level
Topic: Solve it
Replies: 4
Views: 2339

Solve it

If $(p-1)! \equiv -1 \text{ or } 0 \pmod{p}$ is false,
Find the values of $p$
by Rabeeb
Wed Feb 27, 2013 11:33 pm
Forum: Secondary Level
Topic: Help with Combinatorics
Replies: 4
Views: 2554

Re: Help with Combinatorics

Thanks for your help.
by Rabeeb
Sun Feb 24, 2013 5:53 pm
Forum: Secondary Level
Topic: Help with Combinatorics
Replies: 4
Views: 2554

Re: Help with Combinatorics

nayel wrote:This is not a common mathematical phrase. What is the context of its usage?
I found it in "Combinatorics" by Marcus