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#1 2017-12-26 12:34:36

MathsIsFun
Registered: 2005-01-21
Posts: 7,685

Fourier Series

Please let me know what you think, and if there are any errors at all.

"The physicists defer only to mathematicians, and the mathematicians defer only to God ..."  - Leon M. Lederman

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#2 2017-12-26 21:53:12

Alg Num Theory
Member
Registered: 2017-11-24
Posts: 339
Website

Re: Fourier Series

I think it looks great!

I'm not as au fait with Fourier series (and analysis topics in general) as I am with other, more algebraic areas of mathematics, so it's great to learn something new.

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#3 2017-12-27 10:18:14

MathsIsFun
Registered: 2005-01-21
Posts: 7,685

Re: Fourier Series

Thanks!

"The physicists defer only to mathematicians, and the mathematicians defer only to God ..."  - Leon M. Lederman

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#4 2017-12-28 22:45:16

bob bundy
Registered: 2010-06-20
Posts: 8,400

Re: Fourier Series

hi MathsIsFun

That looks great!.  All worked ok.  And I had a 'play' with the grapher.  Years ago a neighbour asked me to help with his maths course.  He was struggling with fourier and his notes were confused and had bits missing.  I'd never done any fourier so we learnt it together.  I made graphs using BBC Basic on my Archimedes computer (oh happy days!).  Your notes make it clear why it works and the grapher does in seconds what it took us hours to construct.

Many thanks!

Bob

Children are not defined by school ...........The Fonz
You cannot teach a man anything;  you can only help him find it within himself..........Galileo Galilei

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#5 2017-12-30 09:52:24

MathsIsFun
Registered: 2005-01-21
Posts: 7,685

Re: Fourier Series

You are welcome Bob

A side note on the grapher: you can sum any function you want, not just sine and cosine.

"The physicists defer only to mathematicians, and the mathematicians defer only to God ..."  - Leon M. Lederman

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#6 2017-12-31 22:45:39

zetafunc
Moderator
Registered: 2014-05-21
Posts: 2,210
Website

Re: Fourier Series

I like it -- it looks great! Some applications of Fourier series at some point might be nice, too. Harmonic analysis is a really fascinating field.

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