Best visual explainations of involute, evolute, osculating circle etc. I have ever heard. No book can explain like this. Only such explaination are available at the stage of best teacher like Prof. Wildberger. Thank you so much respectable sir..
Sounds good, you could also use the Extended Spread law (Thm 82 of my book) to get the formula of the circumquadrance of a triangle (Exer.12.2 on the following page). How about some examples ---can you calculate the curvature of a parabola y=x^2 or some other curve, or perhaps recover the Huygens/Newton formula for curvature?
Even simpler! If these formulas are indeed correct, they are a very worthwhile addition to the literature. I strongly encourage you to write them both up---especially with some interesting examples.
oh, thanks, history is awesome, and it has chapters too!!! 11:22 very interesting. Definition of the center of curvature. I always wondered how they found this out!! 20:38 he just wrote down a function there! Except it doesn't look all fancy in single letters. 35:00-37:40 my god, it feels like this can totally be used to map 2D planar images onto curves. 46:05 so this is what a Gaussian curvature is!!!
Insights into Mathematics I am just now checking out your Math History playlist. Thank you for making that playlist. th-cam.com/play/PL55C7C83781CF4316.html
You Pendulum Clock is Properly Refered to as a Grand Father or Grand Mother Clock Depending on the Size. Which are Either Chain Set or Key. Depending on age.
Very interesting. This is worthwhile writing up, with an explanation, ie proof, and perhaps a few examples. Can I suggest you do so and post it somewhere, and then provide a link. Also, are you sure about the minus sign?
12:34 professor norman lost the opportunity to explain that "osculating" means "kissing"... It would be one of the rare moments where a poetic image is revealed to the mathematician to be.He did not insist on the technique that proves the unicity of the kissing circle. A monogamous relationship😂
Hello, I greatly appreciate your work! You used to have a series of videos on this topic (differential geometry), they're no longer available. Would you be so kind to upload them again? Thank you in advance!
Excellent lecture. I was just glued. it was like a story. The lecture unfolded differential geometry beautifully. looking for more. can I get such more lecture on differential geometry.
i like your way of teaching - great videos, all of them. My father was prof. for experimental physics and very interested always in history ... i somehow inherited his interest ... your videos find their tangling bonds in my world picture therefore. Thanks a lot!
thanks professor ,I hope really to be your student,Am in Belgium,I study (géométrie différentielle) :) I appreciated your lesson,it's great,thanks from heart :)
I would say that this is one of the (and not just in maths) best lectures that I've ever heard. Oddly enough (other than several art lectures) i had an Australian chap for Thermodynamics who was one of the other excellent lecture-ers. One of the worst (who happened to be one of my advisors) simply read to the class directly out of the textbook (which, naturally, we all had a copy of). Again, well done sir. -r. (onward to Topology - or is it typography, topography, or teleology ;? -- ah jargon).
Best visual explainations of involute, evolute, osculating circle etc. I have ever heard. No book can explain like this. Only such explaination are available at the stage of best teacher like Prof. Wildberger. Thank you so much respectable sir..
But I will be starting a course on Differential Geometry shortly, which will be videoed.
We will be mentioning Riemann in our next lecture on Topology.
Sounds good, you could also use the Extended Spread law (Thm 82 of my book) to get the formula of the circumquadrance of a triangle (Exer.12.2 on the following page). How about some examples ---can you calculate the curvature of a parabola y=x^2 or some other curve, or perhaps recover the Huygens/Newton formula for curvature?
Even simpler! If these formulas are indeed correct, they are a very worthwhile addition to the literature. I strongly encourage you to write them both up---especially with some interesting examples.
Sorry, I have never had a series on Diff Geom. However there is one on Algebraic Topology.
oh, thanks, history is awesome, and it has chapters too!!!
11:22 very interesting. Definition of the center of curvature. I always wondered how they found this out!!
20:38 he just wrote down a function there! Except it doesn't look all fancy in single letters.
35:00-37:40 my god, it feels like this can totally be used to map 2D planar images onto curves.
46:05 so this is what a Gaussian curvature is!!!
This lecture was awe inspiring to say the least. Thanks for taking the time and effort to upload this. As a math major I truly appreciated this.
+Kenroy Adams Thanks. As an undergrad you can gain a lot from watching all the of MathHistory lectures. I will also be posting some more next year.
@@njwildberger certainly sir
Thank you very much for your efforts
Insights into Mathematics I am just now checking out your Math History playlist. Thank you for making that playlist.
th-cam.com/play/PL55C7C83781CF4316.html
This guy does a great job describing conceptually. Thanks!
You Pendulum Clock is Properly Refered to as a Grand Father or Grand Mother Clock Depending on the Size. Which are Either Chain Set or Key. Depending on age.
Have a think about what happens if the arc happens to be part of a circle. This is the important example to consider.
Very useful lectures thank you sir.
Thanks for that. This is, I believe, well worth writing up, again with a proof and some illustrative examples! Could you post a pdf somewhere?
Great lecture!
Very interesting. This is worthwhile writing up, with an explanation, ie proof, and perhaps a few examples. Can I suggest you do so and post it somewhere, and then provide a link. Also, are you sure about the minus sign?
Sounds good! Look forward to it.
This is the most beautiful and surprising math I have learned yet. Thank you. Incredible job of explaining an incredibly difficult concept
12:34 professor norman lost the opportunity to explain that "osculating" means "kissing"... It would be one of the rare moments where a poetic image is revealed to the mathematician to be.He did not insist on the technique that proves the unicity of the kissing circle. A monogamous relationship😂
Hello, I greatly appreciate your work! You used to have a series of videos on this topic (differential geometry), they're no longer available. Would you be so kind to upload them again? Thank you in advance!
That's true, the sphere is exceptional in that the two extreme values agree.
Very informative and helpful for understanding some basic motivations behind differential geometry, thank you.
+Requerio Ayala You're welcome.
Thankyou professor !! I am a physicist ..hence I hope that you will give a lecture on Riemann's work.
This is incredible. Great lecture and great content.
Excellent lecture. I was just glued. it was like a story. The lecture unfolded differential geometry beautifully. looking for more. can I get such more lecture on differential geometry.
I love how he introduces Gauss in the video.at 39:00 as the GREAT mathematician. Nice.
Brilliant presentation, extremely lucid as always. Thank you, Prof. Wildberger.
i like your way of teaching - great videos, all of them. My father was prof. for experimental physics and very interested always in history ... i somehow inherited his interest ... your videos find their tangling bonds in my world picture therefore. Thanks a lot!
I learned the radius of curvature formula from Calculus Early Transcendentals by Stewart. Doesn't explain it well but it's in there.
Yes very good geometric introduction. Thank you professor.
This history of mathematics! I love it! Mr (Dr ?) njwilderger I bow before your scholarship
Very good video! Thank you for the whole course.
Dear professor.
Thank a milion for the lecture.
Coud you please do a lecture on knot theory .
Thank you so much !
37:00 44:00
Another awesome video, Professor Wildberger. Thank you for sharing it.
mind-blowingly beautiful
Do the physicists know these formulas?? They look interesting.
Thank you so much for providing the education.
great lecture, thanks for taking the time to uploading this video. really helped!
Nice trip sir..! thank you
Great video
In fact the Playlist is now up: DiffGeom at this channel.
Thank you 😃 for the lecture I had great time and have good Idea about the differential geometry ..
Thank you very much. I have a serious problem to understand what the meaning of Fiber in the differential geometry.
Sir, thank you so much for your good work. Please keep it up :)
This one is so good; I love it!
Thanks for the lecture
Thanks so much for uploading this, great content
Still quite enjoyable after 8 years!
That's the thing about mathematics: won't get older really and if so: always ages comparably well.
thanks professor ,I hope really to be your student,Am in Belgium,I study (géométrie différentielle) :) I appreciated your lesson,it's great,thanks from heart :)
So great.
thanks for this
I freaking love math. It was my favorite subject all the way through college. Hope I become a teacher someday.
Better than to become a teacher, become an applied mathematician.
@@raymondfrye5017 We need more time, ie less pressure from bills to focus on whats important instead of what rich people want us to do.
I would say that this is one of the (and not just in maths) best lectures that I've ever heard. Oddly enough (other than several art lectures) i had an Australian chap for Thermodynamics who was one of the other excellent lecture-ers.
One of the worst (who happened to be one of my advisors) simply read to the class directly out of the textbook (which, naturally, we all had a copy of).
Again, well done sir. -r. (onward to Topology - or is it typography, topography, or teleology ;? -- ah jargon).
Terrific! thanks for the lucid introduction!
Almost no Australian accent!