Non-Euclidean geometry | Math History | NJ Wildberger

[@njwildberger]

Thanks. The modern world offers such great opportunities for learning---cheers to KZbin!

[@smangalisomhlongo5707]

Greetings can you please recommend any postgraduate geometry textbooks ,I want to be an expert in geometry .

[@zendochip]

Yes! Even at my quite advanced age, I can study non-Euclidean geometry. KZbin is a Wonder!

[@voithmascarenhas]

Thank you for this lecture. I learned a lot and enjoyed it a lot!

[@mpmcd81]

What an amazing course this was! I’m an engineer turned math teacher and this course is simply a list of absolute gems to use in motivating students. Beautiful mathematics lucidly and simply explained. Bravo!

[@tyroneslothdrop9155]

This subject in particular has officially blown my mind. I sincerely thank you for presenting a full course on this profound topic and making it available for anyone with an internet connection. I can't wait to get started. People like you are pioneers in this education revolution that is still evolving.

[@owen7185]

Agreed 💯💯

[@maxotbekessov5919]

It is what it is.

[@kirillshakirov9453]

Dear Professor, I'd like to thank you for what you're doing . I am a working programmer and philosophically inclined person and haven't been always satisfied with the way Math was taught at the universities, although it was taught very good at school really creatively , at least in my childhood in USSR, but later at the Uni I was disappointed. Everything seemed stable, no questions, no problems which at that time looked suspicious to me . You and your lectures completely changed my vision of Math, you restructured it made it clear showed to me that Math is not dead it goes on living although under press of a doctrine. The main thing which many uni professors lack and what you give us is you inspire a real interest in math, you make it human, an art but at the same time rigorous, responsible and frank Although you're always insisting that you don't want to philosophize but in fact you have a strong philosophical approach to Math, a very good approach. Just an example, I hated Linear Algebra at Uni, now I love it. I loved Geometry at school, but it wasn't almost taught at the Uni, now I see what we lost not having it.I started a year ago with your Algebraic Topology course but now I am watching three of your courses MF, WLA,Wild Egg, and if I had time I'd take all of them, which I will of course And excuse me, Professor, just a correction - Lobachevsky lived in the Russian Empire, not in the USSR, and another one, you're right formally Kazan is a provinsional town, but in fact it's a great town with the rich history, great universities and industry, btw, it has been flourished now Question: how do you recommend to watch your courses, what should be taken first or can be in parallel? One more time - thank you and best regards

[@quantumgaming9180]

You are so cool

[@jovanamalovic1238]

I watched it 4 years ago for the first time, and today again I was amazed! Wish there were more professors like this man! : )))

[@vikraal6974]

Will you watch it again in next 2 years?

[@stevegovea1]

Thank you for all your lectures professor.

[@njwildberger]

Don't despair, there is my video series on the subject: UnivHypGeom, which explains the subject in a much better way than found anywhere else!

[@njwildberger]

The best place to learn Hyperbolic Geometry is with my KZbin series UnivHypGeom, or my various papers on the subject, entitled: Universal Hyperbolic Geometry I:Trigonometry, Universal Hyperbolic Geometry II: A pictorial overview and Universal Hyperbolic Geometry IIII: First steps in projective triangle geometry. The KZbin videos are easiest for a high school student. You are doing well to have such a good interest!

[@KRYPTOS_K5]

Thank you for your excellent choice to approach to a new way to lead educational Math. Excels in the lessons too. Thank you. Brazil. I try to adapt your approach to Brazilian students creating bilingual course to stimulate Brazilians STEM studies. Thanks also to NJ Wildeberger as a creative researcher he is.

[@beatlesfan129]

This is a wonderful series. I've watched this series numerous times. Hope I can fully understand it one day!

[@matejvodrazka7847]

well, can you?

[@njwildberger]

@airwoz Although Riemann made important contributions to general geometry, I don't know that he contributed much to what we usually call Non-Euclidean geometry, ie hyperbolic geometry. Correct me if I am wrong!

[@DavidRutten]

This is by far the best explanation of hyperbolic and spherical geometry I've ever come across. It tied together so many facets into a consistent whole that I almost feel I understand it!

[@hadifar]

Best ever lecture I've seen on hyperbolic space! Thank you so much professor.

[@siddharthjain2127]

He's incredible 🤗 🤗 🤗

[@njwildberger]

Thanks Amir.

[@njwildberger]

Most of the Playlists are independent. WildTrig, on Rational Trigonometry, is a reasonable but not necessary preliminary to UnivHypGeom, on Universal Hyperbolic Geometry. AlgTop is more advanced, the others are at the first year undergrad level roughly.

[@ffggddss]

Umm, where's Bernhard Riemann (1826 - 1866)? Gauss handed off the problem of formalizing non-E geom. to his student, Riemann, after doing some of the work himself. It's Riemann's formalism which is mostly in use today in General Relativity. The geometries of + and - curvature are even often referred to as ellipsoidal/Riemannian and hyperboloidal/Lobachevskian geometry. Fred

[@njwildberger]

@airwoz Can you give us some examples of his contributions to hyperbolic geometry for example?

[@bernd_the_almighty]

Soviet Union in 1830? Kazan a small provincial town? It was actually one of the biggest cities in Imperial Russia and its university was the second oldest in Russia, with a lot of foreign graduates from there... Among the alumni are de Courtenay and Tolstoy... Other that sounds legit!

[@karthik_og]

very nice video on non-euclidean geometry. I first read about this topic from the book ' mathematics for non-mathematicians', it ignited my interest to learn mathematics further. the idea that there could be other geometry beyond euclidean is very liberating! one can create one's own geometry if one could think of a new surface. after all geometry is just a play of points and lines on any consistent physical surface! The famous mathematicians mentioned in the video could think so to draw us too

[@amal-ti2zz]

An outstanding and very underrated book- Kline's 3 volume edition of his Mathematical Thought from Ancient to Modern Times was such a solid expansion

[@onikahmed5692]

Your enthusiasm is admirable. Great pacing as well!

[@francescos7361]

Great , thanks for this educational contribution.

[@noormuhammadmalik6191]

These lectures are so amazing, thank you very much :D

[@njwildberger]

Thanks Noor!

[@ed.puckett]

Thank you. I actually do not have the words to express my appreciation.

[@njwildberger]

Thank you for that correction!

[@bassiroudembele7726]

Thank prof I have followed most of your couses in geometry and in algebraic topology.But I have many question in algebraic toplogy

[@skeletonrowdie1768]

the intro music is just perfect, it describes or lets you feel the aestethic of maths in a good way :)

[@Tommy_007]

It reminds me a little of the intro music of the Sherlock Holmes tv series (with Jeremy Brett).

[@raminmersi]

Great Presentation, It was really helpful. Thank you!

[@georget2063]

That's a beautiful intro melody. Where is it from? Thank you for your lectures!

[@neeravchavda9921]

This Video is Helpful for good Brief introduction

[@RichardSouthwell]

I made a video about how to tesselate the Beltrami-Poincare Disk with GeoGebra. Its using the hyperbolic analog of straight edge and compass constructions Tiling Hyperbolic Space Easily With GeoGebra

[@ranjithneelamegam3992]

@njwildberger everyone in the world needs to this video 🎉

[@josephdepue8619]

Beautiful understanding of this material!

[@ricardoderas5638]

@19:42 an ephemeral and beautiful exhibition of non-Euclidean manifestations in nature.

[@bestmathematician1]

Awesome...many thanks!

[@MilindMishra]

surprisingly watched the full lecture, thank you sir.

[@BackdPackd]

Thank you for the wonderful lecture!

[@wilberts1]

Thank you very much for your lectures

[@josearcanjo5079]

Wow, Lobachevsky was also a time traveler?

[@njwildberger]

Thanks!

[@eliasdanielozuna]

Fantastic course congratulations!!!

[@AlexKorotkov]

very interesting lecture! thanks!

[@michasz4297]

Great lecture as always!

[@ffggddss]

At 48 min, you mention geometer "Donald Coxeter" as a friend of Maurits C. Escher. Is he related to H. S. M. Coxeter, Univ. of Toronto, of "Regular Polytopes (1947)" fame?

[@njwildberger]

Yes, they are the same person.

[@equinoxproject2284]

+njwildberger +ffggddss Hello. Thank you Professor Wildberger for this great video and series. Nice to see a Coxeter reference in this video. If you are interested there is a great video on Vimeo about Coxeter called, " The Man Who Saved geometry. " Here is the link vimeo.com/120725835

[@edwardgalliano9247]

Professor Wildberger worked in Coxeter's office in Canada I believe.

[@ffggddss]

@@njwildberger I see that his Wikipedia page opens with: "Harold Scott MacDonald 'Donald' Coxeter," which explains how "Donald" is obtained from "H. S. M." Fred

[@khaledfarrag9754]

Excellent explanation

[@brendawilliams8062]

Thankyou professor. I enjoyed it very much

[@njwildberger]

Thanks Brenda!

[@QMPhilosophe]

Thanks for the great lecture.

[@alkhawarizmi1667]

thanks for the great lecture!

[@azoshin]

Very nice video

[@JustT725]

Why are all these students showing up late ?

[@Tommy_007]

It seems they want to maximize the disturbance by opening and closing the door with hinges that need oil!!

[@AlexisTwoLastNames]

i’m excited to watch this.

[@Matematycznieicoswiecej]

Love it! Thank you☺

[@njwildberger]

Although Bolyai was, I believe, born in present day Romania, he was ethnically Hungarian. And yes, Lobachevsky lived in Russia.

[@evgenyk.9291]

Dear Dr. Wildberger. The interesting information that Gauss learned Russian to read Lobachevsky's works that were published by Kazan University. These times not Russian but French was first language for nobble Russians. Many of them did not even knew Russian well enough. Lobachevsky was not born in noble family, probably. And, apparently, in provincial Kazan they printed university press in Russian.

[@QQpapababy]

Thank you Professor. I just found the channel yesterday. What a pity!

[@gravitywaves123]

Thanks. I will check them out.

[@njwildberger]

Usually people say Steve Martin.

[@Nyidalur]

Very good lecture. One tiny remark: Lobachevsky could not work in the Soviet Union. That time, Kazan was part of the Russian Empire.

[@chenjus]

Such a good lecture :D

[@ClnWatson2]

20:02 Death Star Geometry

[@Jipzorowns]

Wonderful, thank you!

[@carlosromerofilho6202]

Wonderful!

[@jgcooper]

very interesting, thanks!

[@underthejaguarsun]

Thank You!!!

[@esakkithirugnanam6626]

Nice

[@christophersedlak1147]

thanks!!!!!!!!!!!!!!!!!

[@hx11hx1]

I love it