This is the best explanation of Newton’s method on KZfaq

His clarity was mindblowing. I was swept away by how smoothly he went from step to step. Could this be the best math tutoring video I've ever watched?

Yes, now my mind is getting closer and closer to understand this method.

I like the way you explained the reason behind doing all this first and didn't just blast into how to do it like most other videos did. Very helpful. Thanks

So far, I found this video to be the only one which explains Newton's method figuratively. Brilliant! Thank you, Professor!

I come to KZfaq to have stuff explained to me. Most youtubers just tell me the same stuff in my textbook that’s didn’t make sense to me. You actually get your hands dirty and explain why the textbook is saying what it is saying!!! Thank you!!!!

sir..I honestly do respect you.from my heart.I was struggling with this topic for like more than a week.and now it seems so easy in 8.45 min.AWESOME! you make things so simple.. GOD BLESS YOU thank u sir.☺

this guy is the man! love the bow tie!

What an excellent explanation! Thanks a lot for taking your time to explain the Newton's method in such an eloquent and easy to understand way.

This is by far the best explanation (visual and explanatory) of Newton's Method, I found on YT. I understood in 8 mins. what a one hour class couldn't deliver. Thank you.

This video is great! I already knew how to use Newton's method to approximate roots of functions, but, although I understood linearization well, I didn't see where the term [F(X)/f(x)], which you clearly showed to be delta x, came from. After this great lesson, I know how to visualize, derive, and utilize Newton's Method easily. Thanks a lot!

After watching about 10 videos on this subject I finally found one that actually made me understand it, cheers!

You are my hero.

Very clear explanation and teaching! Excellent! Stumbled on this. I built software in the 1980's-1990's that uses this numerical technique to solve large systems of non-linear equations in very sparse matrices. The equations are grounded in fluid mechanics - energy and mass balance - to model large scale hydraulic systems. The software is still used widely by the world's pipeline utility industry to analyze the hydraulic performance of their networks. The genius behind its implementation is a Civil Engineer, Dr. Michael Stoner, a great mentor and friend. Thought its practical application in a wildly successful commercial enterprise may be of interest.

Best explanation ever, well thanks for the excellent explanation. Ready to continue my study for the exam...:-)

Salute you, you are one of the best teachers. You know our level, thats why you know how to start with. Carry on!

Thank you sir！ you give us so many quality ,practical and useful lectures.

thanks for sharing! This is a very intuitive way to prove newton's formula.

Best presentation on Newton’s method so far! Thanks very much.

and I truly feel respecful for newton now that I'm learning physics and mathmatics myself. how can one human be so genius that discover so many things. I want to be like him or einstine someday

Thanks for your effort in being so clear!

Very clear explanation. Thank you very much!

Thanks for the explanation. Very clear and concise.

Amazing teaching skills!!!

As usual, this is just brilliant! Thank you.

Oh my god ! What a Explanation...Excellent really excellent.

Thank you! You explained this a thousand times better than the calculus lecture videos in my class!!

Fantastic... the only video that explains from a scratch. thanks a lot.

Great teacher! Thank you for posting this video it was very helpful.

Thank you for the proper explanation. Many keep skipping the important steps and making it harder to understand.

Brilliantly explained - as always!

Very clear explanation. Well done.Keep it up.

amazing explanation, thank you

after all this time, finally. thanks!

What a beautiful explanation!

a elegant and simple explanation. Thank you

Fantastically well explained, thank-you so much

Thank you very much for excellent explanation teacher

It really helps...Very good... thanks

really you are awesome teacher .........

Thank you very much! This was a great lecture :)

Great , always helps! Thanks!

thanks! great explanation

Wonderful, sir!

Very good explanation of the Newton method. Thx!

awesome explanation, good job :)

Thank you sir, this was a beautiful explanation

great explanation, thanks

Thank you, professor

I have watched many videos of this lovely man! Thank you so much, sir!!!

Sir, you have been saving me for a long time, thanks a lot!

Great video!

Very good explanation Sir 👍🏻

So cool... I got deeper to this concept

Thank you, very cleary explanation

Wow, this is so smart!

thank you Sir!!!!!! God Bless you!

You sir are a genius

Thank you for this great video :-)

Many thanks.

Thank you Sir !

Sir you are legendary. Because you explain things in a very simple way. Thank you 🙏🙏😃.

awesome! thanks so much

very good teacher

Now I get it, thank you so much.

With this kind of explanation its gonna be hard for me to forget the formula! Thanks!

This is gold. Thank you sir, greetings from the Philippines

Thank you!

You are really gr8 sir What a teaching vareh vah

Thanks for the video. If I didn't find this, I was going to make a video of this important topic!

What at good teacher told me exakt what I wanted to know!

Thanks that was perfect

This was so helpful, thank you!!

Literally a perfect explanation. Thank you!!!

THANK YOU

Nice explained sir

very nice video thanks alot

its awsm sir

Hatts off to you.

Love you..!!

thank you

Since, at any step along the way, you must compute the value of the function for the newest guess, then just set some specific definition for how close you must be to the actual root. Say, a solution x = a is 'acceptable' if 0 < |f(a)| < k, where k is a small positive number, eg. k = 0.00001.

Awesome teaching!!!

THANK YOU! Sir, you are an excellent teacher! Greetings from Poland :)

Thanks a lot sir

Fantastic explanation, big thanks from France 🙂

Wow! Now I finally know where the formula came from. Thank you sir!

Holy shit this is awesome

Thank you so so much, I feel like I have to tahnk you so many time cus, this is the chapter I didn't understand and baffled by my book!! but now suddenly all fog has been lifted

Very good and concise lecture. I only think you could've finished it by explaining the advantages and drawbacks of this method.

Thank you :")

thank u, dziękuje from Poland

thank uu

Great video! Kind regards from the beautiful city of Innopolis, Tatarstan, Russia! On Saturday, September 29th, 2018 :)

It sounds clever when you learn Newton's method just by watching other people explaining to you, but then it's mind boggling to think that a person (Newton) was able to come up with this approach just by thinking hard without relying on the state-of-the-art resources and technologies for mathematical computations we have today.

sir you are the best

excellent explanation!!!!!!!!!!!!!

Newton was really a genius to come up with this idea. It's awesome!!!!

Excellent sir!

Excellent Sir 🙏