only calculus and matrices to solve equations. the next year i shall learn discrete math (for computer science). i want to learn on my own from books or online because that is a faster method of learning for me. teachers are either too slow or are bound to teach only what's relevant to the syllabus. i want to learn because i enjoy math.
I have got this question from IMO 2015 (yes, I searched for the questions and couldn't solve the first question that I found)
"determine all triplets (a,b,c) of positive integers each of the form ab-c, bc-a, ca-b is a power of 2"
I wish to solve more and more of such problems but I don't know where to start from as I think I should start with some basic level problems and move onto such harder ones.
hi guys, i am passionate about math and solve math problems of a decent difficulty. i have seen that IMO has difficult problems. i wish to learn how to solve such difficult problems.
how should i prepare for IMO. what are the skills that i should have to solve IMO problems.
P.S. i know practice is the key, but i need to know what are tools i need to have before solving the problems.
hello guys, i am new to coding and have joined a computer science course in an engineering college.i wish to learn coding and since i have no background in coding and am very passionate about it, i hope you guys can show me the right direction.
P.S. my professor is too hell bent on sticking to the syllabus and considers me as a dumb guy. so taking her help is out of the question.
here is a question that i came across in a competition (math crusade 2014) which i couldn't answer
Q.) if the nth term of the Fibonacci sequence: 1,1,2,3,5,8,13..... is represented by Fn then for n greater then 4 and being a composite number
prove that Fn is a composite number
if you guys can show me the way i can walk the path.... like how should prove that a given number is composite when i cannot even have any idea of what it's factors may be...
okay so we now get to back the question that u originally asked me.... right... we now need to find the coefficient of x^10 in this expansion where the whole term is raised to 3....
now getting back to the multinomial theorem....(i have got a fair enough idea of binomial theorem and have read that multinomial theorem is general form of bi theo..)