## UnkleRhaukus 2 years ago Exercises on Fourier Series

1. UnkleRhaukus

2. UnkleRhaukus

3. UnkleRhaukus

4. perl

hey uncle, looks good

5. UnkleRhaukus

\[\large\color{teal}{\ddot\smile}\]

6. perl

how did you get these on pdf? very nicely done

7. UnkleRhaukus

a program called TeXShop

8. perl

very nice, are you a professor?

9. perl

i am stumped on a question, freaking book of mine , Prove that if there is an injection f : A -> A which is not surjective, then A is not a finite set. . . . . . . . . . .

10. UnkleRhaukus

im a only a student

11. perl

wow

12. perl

is this a differential equations class >?

13. perl

i never learned fourier series :(

14. UnkleRhaukus

yeah from DE class

15. mathnoob1

uncle is there an exercise on proving trigonometric identities?

16. UnkleRhaukus

|dw:1356168122187:dw|

17. experimentX

@perl the difference between fine and infinite set is that the infinite set is that the infinite set will be equivalent to some proper subset of itself. i.e. if there is injection f:A->A ... means the set is equivalent to some proper subset (due to surjective). Which means the set A is not finite.

18. experimentX

@UnkleRhaukus do you have Mathematica ( i bet you have matlab)? Plot these infinite series, if these infinite series is equal to your function, then your work is right!!

19. UnkleRhaukus

i do not have Mathematica i do have Matlab i checked these on a program called Grapher, and they turned out right , but that dosen't mean i haven't made mistakes

20. experimentX

if you have identical function ... except at the point of discontinuity then your work is correct!!