Taylor and Maclaurin Series - An Introduction

[@thisispruf]

I wonder what a McLaurin would taste like at McDonalds

[@hyunwoopark9241]

It has a complex taste

[@46pi26]

Probably about like a McLaren at McDonalds - rare

[@cavver3523]

It's the derivative of McDonald's

[@Super_Smash_Dude]

You guys are awesome:)

[@pilopolo5957]

Well how will MacLaurin respond to the beating McGregor will give to him.

[@bfourie]

Damnit Flammy if only you posted this yesterday, it would've been helpful for my Engineering Maths exam 😂

[@Monarcha_Mortis]

"It's really easy to see" *Rewinds the video for the fourth time*

[@dannygjk]

LOL ikr

[@spacejunk2186]

Numberphile mispronounced Euler again.

[@ryanmuller9497]

To be fair, it's really tempting for native English speakers to mispronounce Euler, since pretty much every other word in English that starts with "eu" comes from Greek (and that most often from the prefix for "good"), and that's conventionally pronounced as the "you" sound, hence "you-ler". I know it's wrong, but it does feel really counter-intuitive pronouncing it as "oil-er" (although during Flammy's video on how to pronounce German names it occurred to me that it's the same sound as the "eu" in "Deutsch", so I should have realised the connection sooner.

[@ryanmuller9497]

@Diogenes TheDog Yes, it is "oiler". My comment was about the fact that, if I came across it in English knowing nothing about its etymology, I'd guess that it was from Greek and pronounce it "youler". Knowing that it's from German, "oiler" makes perfect sense, it just feels a tad counter-intuitive because it looks so very Greek.

[@JayAbel]

@Diogenes TheDog boiler...

[@anegativecoconut4940]

When you see a Taylor series: "Papa Flammy, Analysis!"

[@paulestrada961]

Love the intuition behind this video. Really made what was so difficult in high school and college now seem like an elementary idea. Love seeing you simplify many of these topics. Keep it up!!

[@moskthinks9801]

Sounds like a great Netflix series to me :) What's next? Fourier, Laurent, or Dirichlet?

[@xCorvus7x]

Mathologer has a t-shirt with that: ' *Your favourite series on Mathflix* Taylor Laurent Dirichlet Fourier' or something like that.

[@moskthinks9801]

@@xCorvus7x i know, this is where i got the reference from the fourier vid

[@xCorvus7x]

@@moskthinks9801 Oh, then just to point it out for bypassers who don't know Mathologer yet.

[@joelhaggis5054]

Dyson

[@bilyanaconsulova405]

This is the coolest thing i've seen on youtube

[@duncanw9901]

Loving some Taylor action Was my favorite chapter in AP Cal 1:25 no gains

[@whyiszeldagreen]

You made this so intuitive for me. Thank you. You are a great teacher!

[@peppybocan]

Analytic Continuation when? :D

[@ethanjensen661]

Great explanation! Make sure to do Taylor series of logarithms!

[@bbblaesing]

Very spicy, keeps the flams burning right after finals

[@flameshard]

Well explained and easy to understand educational videos, keep it up!

[@alexweinberger8925]

Great video man. Helped so much in understanding how the coefficient(s) are derived Have a flammable day brother 🧮

[@polescu6687]

Really help me a lot, I didn’t understand why tylor series looked that way and was a thing I couldn’t get out of my head 😂😂

[@spacejunk2186]

People say everyone should subscribe to Pewdiepie, but in truth everyone should subscribe to papa flammy.

[@harrygreen9804]

Plz do a video on the radius of convergence for a Maclaurin/Taylor series

[@harrygreen9804]

I'd love react if I could

[@arturaskarbocius828]

informative video, "all" math textbooks only gives "Taylor-McLaurin Expansion Series" expression for sin, cos, e and etc. without prehistory explanation how this series equation was derived in first place.

[@architsharma9836]

Yes 😎 Taylor and maclaurin.

[@ajitanayar7393]

Good introduction to the topic!!! Thank you

[@Videohead-eq5cy]

Needed this for my semester finals. Thanks Papa flammy uwu😘

[@h4c_18]

Well, technically sin(x)=cos(Pi/2-x) and cos(x) is even, so sin(x)=cos(x-Pi/2) xD. sin is just a shifted cosine, so you draw the cosine graph after all

[@h4c_18]

@@PapaFlammy69 Nice meme then xD. Might even be a # :P

[@ericmoringe]

This might really help me. I'm doing a report in physics about pendulums and how the period time for one swing varies at different angles. (Constant lenght and mass ofc). The answer of how the time of a swing change is mathematically calculated with a Maclaurin series if I'm correct. Might just understand it a bit better! Thanks Papa!

[@m_riatik]

Yes! 3blue1brown actually talked about this in his video on Taylor Series.

[@ericmoringe]

@@m_riatik Thank you so much! What an amazing explanation of Taylor series. I can't believe I have missed that channel! The use of Taylor series is actually way over the expectations on my report because I'm basically in college (called gymnasium) here but I got a big interest for math. So by understanding Taylor series my work ahead will be so much more pleasing!

[@m_riatik]

@@ericmoringe No problem dude, and I agree, Grant's video on Taylor series is one of his best, and definitely my favourite from the essence of calculus series. Also, you should check that entire channel out if you love math.

[@radelfalcao9327]

thanks a lot ,your lecture is very easy to understand

[@dannygjk]

I thought I had a stroke because my brain couldn't keep up with his explanation. Then I remembered I had the speed up from a previous video. XD

[@Brekstahkid]

Thank you!

[@FeerRG]

I'm having an exam about this next week, this is definitely perfect timing😂 Thanks for the video! ❤

[@Gold161803]

0:46 That was some Dr Peyam-level corniness

[@hulkexmk]

I really love your videos!!!!!

[@weelkeen]

Ooh dayum, just in time

[@VenkataB123]

I couldn't for my life understand why the x^n term becomes (x-a)^n for a Taylor series and after seeing this, I feel stupid as to how I couldn't understand it earlier lol. Thanks for the explanation!! Really helped!

[@BanAlMandalawi]

Boi you're fun to watch!

[@HMotam-dn6by]

PAPI do video on Newton-Raphson method ;).

[@adammartin8499]

Thanks, that was a very helpful video

[@memoriasIT]

Nice flammable video

[@ajj7794]

love u, i watched 3blues1browns video some time ago understood the visual side not the maths, now i understand the maths.

[@Goku17yen]

Lastn’t also next baking video when

[@midaskeijzer7107]

New poll: nought or zero?

[@plasmacrab_7473]

I really need to know how you draw those sigmas so easily and quickly, cuz mine always look squished.

[@cavver3523]

Finally!

[@SultanLaxeby]

now what about nonanalytical smooth functions?

[@Math-bz8bw]

Please can you explain fractional derivatives and fractional integral step by step

[@gskartwii]

The Taylor series of trigonometric functions just clicked with me and I think I won't be able to sleep anymore because of the dopamine release or whatever. And I'm happy anyway.

[@Eta_Carinae__]

Wait... I thought Mclaurin series was the general one, and Taylor series was evaluated at 0.

[@Eta_Carinae__]

@@PapaFlammy69 my world has been thrown into chaos

[@dannygjk]

@@Eta_Carinae__ lol as Sheldon in Big Bang Theory said, "I should embrace the chaos." XD

[@shivimish9962]

Best stuff in functions and related algebra👌

[@TheShadyRealm]

tysm lol i bet i wouldn't have understood this by looking at the textbook for 4 hours

[@rudraksh5840]

Intense

[@alvarobernatmuller5576]

Taylor tingles my toungue

[@aboutmath2995]

Great Video!

[@moslemasultana9388]

7:18 cool!!!

[@ShadowZZZ]

that was fucking beautiful

[@MrNicogeek]

I had a test about this yesterday and i freakin failed it :(

[@Zzznmop]

I think I just proofed right in my pencil case

[@tatjanagobold2810]

Never clicked on a video so fast Wohooo

[@fidgetbaeng]

y u say indexes and not indices :O

[@isartox88]

Thanks to you I feel bad about studying civil engineering and now I want to study maths.

[@dannygjk]

Don't you do some calculus in CE?

[@Aeizium]

wheres the theorem

[@thehighgupta]

solve......integral limit( minus one to zero) ((x)^(4)-2x^(2))^(1/3)+√(1-√(x^(3)+1))

[@marks9618]

Laurent series next

[@Silfarionx8]

For a more artistic--and less...flammy--estimate of the graphing visuals, this is the video he mentions by 3Blue1Brown: kzbin.info/www/bejne/aZWZdaagfqetgJY

[@ruchgrover2733]

good job

[@46pi26]

Convergen't = Diverge Divergen't = Converge Diverge = Divergent Divergent = Divergen't = Converge Converge = Convergent Divergent = Convergent 1/(1-x) = divergent for |x|>1 = convergent for |x|>1 Therefore, 1/(1-2) = sum_{n=0}^{\infty}2^n = -1/2 I am above your rigor

[@mayankvats926]

History rewritten 😂!!!!!

[@deeptochatterjee532]

My favorite series is a McLaurent Series

[@gregoriousmaths266]

Deepto Chatterjee same

[@cosmics999]

I'm 13 what am I even doing here?

[@erikawimmer7908]

Im 14

[@simulacrumx258]

6:13 what the heck did you say there?

[@felixandersson3167]

We gonna do many many exercises but this here: Voila! (🌊 ✋ over the result)

[@simulacrumx258]

@@felixandersson3167 Ah now I get it. "et voilà"

[@atrimandal4324]

*insert Pikachu meme* ❤️❤️

[@atrimandal4324]

Flammable Maths Oh dude, head to Buzzfeed India's channel and watch stupid and drunk people suck at Maths,you'll love it #Schadenfruede 😂😂

[@pratyushparmar4595]

Heart pls

[@keroleswael9332]

First comment Also love you papa

[@duncanw9901]

Oof you got it by 4 seconds

[@keroleswael9332]

@@duncanw9901 lol

[@Dr.1.]

1:25

[@debopamsil6965]

Stupid ass puns rock🤘🤘

[@leo8879]

Sin(X) = X

[@superphilschneider]

Nice job. Your videos don't suck...

[@alf5197]

wtf

[@sansamman4619]

although these videos are great and we all love them ( duhh.. that's why we watch ) i think, if you incorporate one of the sciences into your channel you would get a lot more viewers, since people like science more than math you can combine them and introduce many people to a great thing called maffs!

[@sansamman4619]

@@PapaFlammy69 , that seems exciting, i can't wait for experiments! here is a proposition: you can vlog the experiments! i never watch vlogs but yours are pretty fun ^-^

[@stimpyfeelinit]

NO PICTURES NO LIKE

[@akshat9282]

in India, we call it maa ki laudi series and not maclaurin