Séries de Fourier
=================

Exemplos de séries de Fourier

.. code:: octave

    x = -pi:.001:pi;
    y = x;
    plot(x,y,'linewidth',2.0)
    hold on
    n = 5;
    soma = 0;
    for i=1:n
        soma = soma + (-1)^(i+1)*2/i*sin(i*x);
        plot(x,soma,'r','linewidth',i*.4)
    end
    xlabel('x')
    ylabel('f(x)')
    leg = legend('f(x)','n=1','n=2','n=3','n=4','n=5');
    set(leg,'Location','Northwest')



.. image:: output_2_0.png


.. code:: octave

    clear
    
    x = -pi:.001:pi;
    y = x.^2;
    plot(x,y,'linewidth',2.0)
    hold on
    n = 5;
    soma = 0;
    for i=1:n
        soma = soma + (-1)^(i)*4/i^2*cos(i*x);
        plot(x,pi^2/3 + soma,'r','linewidth',i*.4)
    end
    xlabel('x')
    ylabel('f(x)')
    leg = legend('f(x)','n=1','n=2','n=3','n=4','n=5');
    set(leg,'Location','Northwest')




.. image:: output_3_0.png