Question

find the fourier series of f(x) = x^2 in [-pi , pi ]

Answer 1

Are you familiar with a_0, a_n and b_n ?
' _ ' represents coefficient.

Answer 2

ahh fourier series my love

Answer 3

not coefficient, subscript*

Answer 4

first notice that this is an even function so

Answer 5

i am not familiar with this whole topic

Answer 6

we can represent the whole function in terms of only cos

Answer 7

oh um! u should learn the basic theory first theres not much to it

Answer 8

alright?
whats 'basic' for this? well my exam is in 2 days,so am learning what i can

Answer 9

the best way i could think of is Taylor Polynomials :O

Answer 10

i dont know the full math rigor, but the basic idea, is coming from dot product of vectors, how the dot product of vectors is zero when they are perpendicular, its generalized to can we find a function that is orthogonal over an inifite set in some interval given

Answer 11

i know that much basic...

Answer 12

sin and cos are such fuctions which are orthogonal to each other

Answer 13

okay well thats all u need really

Answer 14

dan your looking for something that do this ?

Answer 15

the question guys
i dont understand wikipedia,so am here

Answer 16

ok well tell me what u dont understand exactly

Answer 17

how an and bn are derived or how to just apply the formulas

Answer 18

whats fourier series?

Answer 19

representation of a function in an finite series of orthogonal functions using sin and cos

Answer 20

well the question wanna you to change x^2 to series :) xP

Answer 21

wikipedia text gives me headache,maybe i need to knw it in simple words

Answer 22

i see

Answer 23

but it says find?

Answer 24

your job is to find the amplitude of the sins and cosins such that it approximates your given function and equals your given function over an infinite set

Answer 25

i see
so is there any formula for that

Answer 26

yes

Answer 27

ok change x^2
to a periodic function