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Pythagoras' theorem (a) | Math History | NJ Wildberger 

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27 сен 2024

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Комментарии : 103   
@jakecarlo9950
@jakecarlo9950 3 года назад
Dude. Only 20 minutes in and this is already the best math lecture I’ve ever heard. (And I’m old) *”Area is more fundamental than length.”* 🤔😯🤯 Awesome! Thank you for your work!
@njwildberger
@njwildberger 3 года назад
Thanks Jake! There’s plenty more…
@moroccomc2670
@moroccomc2670 2 года назад
@@njwildberger Please add Subtitle English, and Google translation automatic all langauge choise
@frankdimeglio8216
@frankdimeglio8216 Год назад
@@njwildberger WHAT IS E=MC2 is taken directly from F=ma, AS TIME is NECESSARILY possible/potential AND actual ON/IN BALANCE; AS ELECTROMAGNETISM/energy is CLEARLY AND NECESSARILY proven to be gravity (ON/IN BALANCE); AS the rotation of WHAT IS THE MOON matches the revolution. Consider TIME AND time dilation ON BALANCE. The stars AND PLANETS are POINTS in the night sky ON BALANCE. The diameter of WHAT IS THE MOON is about one quarter of that of what is THE EARTH. On balance, the density of what is the Sun is believed to be about one quarter of that of what is THE EARTH. Excellent. Consider what is THE EYE ON BALANCE. The TRANSLUCENT AND BLUE sky is CLEARLY (and fully) consistent WITH what is E=MC2. WHAT IS THE EARTH/ground is fully consistent WITH what is E=MC2. CLEAR water comes from what is THE EYE ON BALANCE. Notice what is the fully illuminated (AND setting/WHITE) MOON AND what is the orange (AND setting) Sun. They are the SAME SIZE as what is THE EYE ON BALANCE. Lava IS orange, AND it is even blood red. Yellow is the hottest color of lava. The hottest flame color is blue. What is E=MC2 is dimensionally consistent. WHAT IS E=MC2 is consistent with TIME AND what is gravity. What is gravity is, ON BALANCE, an INTERACTION that cannot be shielded or blocked. Consider what are the tides. The human body has about the same density as water. Lava is about three times as dense as water. The bulk density of WHAT IS THE MOON IS comparable to that of (volcanic) basaltic lavas on what is THE EARTH/ground. Pure water is half as dense as packed sand/wet packed sand. Now, the gravitational force of WHAT IS THE SUN upon WHAT IS THE MOON is about twice that of THE EARTH. Accordingly, ON BALANCE, the crust of the far side of what is the Moon is about twice as thick as the crust of the near side of what is the Moon. The maria (lunar “seas”) occupy one third of the visible near side of what is the Moon. The surface gravity of the Moon is about one sixth of that of what is THE EARTH/ground. The lunar surface is chiefly composed of pumice. The land surface area of what is the Earth is 29 percent. This is exactly between (ON BALANCE) one third AND one quarter. Finally, notice that the density of what is the Sun is believed to be about one quarter of that of what is THE EARTH. One half times one third is one sixth. One fourth times two thirds is one sixth. By Frank Martin DiMeglio
@charlesdorman368
@charlesdorman368 Год назад
​@@njwildbergere33333?❤❤❤1
@notallowedtobehonest2539
@notallowedtobehonest2539 Год назад
When you focus on education instead of what color everyone is, this is what you get. Sad that most of the bwack students will fail this class since they cant understand math past algebra.
@bits_for_bytes
@bits_for_bytes Год назад
This reminds me of Michael Sugrue’s Philosophy lectures at Yale in the 80s/90s. Incredible work!
@gutzimmumdo4910
@gutzimmumdo4910 3 года назад
best channel for insight into math.
@user-zw7bk3qn5q
@user-zw7bk3qn5q 6 лет назад
Your approach to teaching helped me to enjoy maths. Thank u sir.
@asuka-ryo
@asuka-ryo 3 года назад
One of the best methods of learning maths for me
@Syntax753
@Syntax753 Год назад
The joy of mathematics - how wonderful!
@Juanbaez_
@Juanbaez_ 2 года назад
I love how this professor teaches.
@John-115
@John-115 3 месяца назад
Great work thanks
@koto3754
@koto3754 4 года назад
AWESOME SET OF VIDEOS! Thank you so much for sharing.
@MrJinSic
@MrJinSic 11 лет назад
Thank you for making these videos Prof. Wildberger.. Because of these videos,I have now started reading Euclid's Elements....
@Paraselene_Tao
@Paraselene_Tao 3 года назад
I wanted for a long time a math history class. I'm glad I found one. Thanks.
@kasherri4889
@kasherri4889 4 года назад
Your videos are so insightful, interesting, and engaging. You make math much more intuitive. Thank you
@jamesgx5629
@jamesgx5629 8 лет назад
your work is VERY much appreciated mr njw.
@ionjerdea8147
@ionjerdea8147 6 лет назад
Beautiful...
@sayanmistry8222
@sayanmistry8222 3 года назад
These are very intresting lectures , thanks sir for your efforts
@MartinAcevedo
@MartinAcevedo 8 лет назад
I really like your presentations. Thanks.
@ryanchiang9587
@ryanchiang9587 6 лет назад
one of my favourite videos
@jmafoko
@jmafoko 7 лет назад
amazing course
@سعودالشمري-م4د5ذ
@سعودالشمري-م4د5ذ 7 лет назад
hi thank you professor for these lectures thank you very much
@nepherpitoato110
@nepherpitoato110 8 лет назад
thank you sir for the lecture
@Matema_GT
@Matema_GT 3 года назад
Thank you for the class.
@davidjones5319
@davidjones5319 3 года назад
Fantastic!
@maiiaveremchuk6791
@maiiaveremchuk6791 2 года назад
thank you!
@rauldempaire5330
@rauldempaire5330 3 года назад
Outstanding!
@moularaoul643
@moularaoul643 4 года назад
Thank you so much!
@elmichael009
@elmichael009 Месяц назад
The history was my favorite part
@stellalymberis4585
@stellalymberis4585 3 года назад
thank you for this lecture. I need this book
@neuoylann1909
@neuoylann1909 Год назад
The quick overview of the history of geometry and mathematics along the last 3000 years is correct if we only consider what has been recorded in ancient documents and reproduced in books since the Greeks, however this does not take into account of the oral transmission of the knowledge since humanity exists. Indeed the people of the megaliths knew perfectly well the Pythagorean theorem several thousand years before Pythagore was born. Indeed the erection of the megaliths and also of the pyramids required a very good knowledge of the geometric rules and this knowledge has been transmitted by the architects of these monuments, knowledge which has been forwarded to the builders of churches in the middle age and beyond. The parallel transmission of the knowledge is obvious when you analyse the architecture of these monuments and I doubt that ancient Geeks have anything to do with the conception of these monuments. Thank you for your excellent video.
@njwildberger
@njwildberger Год назад
Excellent comment thanks. I quite agree with you.
@Waranle
@Waranle 13 лет назад
Thank you!
@brucetungsten5714
@brucetungsten5714 3 года назад
Thanks for all your great content!
@nikals
@nikals 7 лет назад
Thank you for uploading these great lectures, this is very interesting stuff
@FODTony
@FODTony Год назад
30:35 that proof is amazing!
@JuanRamos-hu3pc
@JuanRamos-hu3pc 11 месяцев назад
Such an excellent lesson. It would be great if you could tell us about the mathematical knowledge of the native pre-columbian cultures, such as the Mayas, Teotihuacans, Aztecs, and Mexicas, for all of these cultures had an accurate astronomical knowledge, building several astronomical observatories. Thank you.
@AprendiedoconAlex
@AprendiedoconAlex 3 года назад
Thank you professor for sharing your math knowledge. We need.more educators like you at the university level.
@andersolsson1421
@andersolsson1421 11 лет назад
This is Great!
@sameasnow
@sameasnow 8 лет назад
love what youre doing sir keep up the good work
@patrickmckinley8739
@patrickmckinley8739 Год назад
I love the lecture. I know it's a nit pick, but I have a pet peeve when it comes to pronunciation. 36:13 Thales rhymes with Bailey's. That said, I'm still listening.
@indgiu
@indgiu 12 лет назад
thanks so much for sharing this!!!!!
@I_Lemaire
@I_Lemaire Год назад
Root 2 => 99/70 (approx). Thank you for this course, Professor.
@alvaropatlanestrada7657
@alvaropatlanestrada7657 2 года назад
Great lectures!...thank you!!
@mikedaniels3009
@mikedaniels3009 3 года назад
Wonderful. The Sound of Music : Let's start at the very beginning. Maths in the flow of time explained with commitment, passion & charity. Here's to all minus one, (z-1) of the total set of my former maths & physix theory dispensers,- they do not deserve to be called teachers on account of having been mere paycheck collectors, intransigently callous to the disorientation, helplessness, sufferings of non-math minded common mortals: May​ YOUR sufferings in hell be inversely proportional to the anguish & agony your incompetence caused to legions of pupils during yr respectives tenures. Merci villmool, Herr Wildberger.
@elijahmelendez9864
@elijahmelendez9864 5 лет назад
some professers just got the gift
@evanfabri7117
@evanfabri7117 4 года назад
I nominate you as a saint
@charlessmyth
@charlessmyth 8 лет назад
Great course series. Got the book :-)
@ilkinond
@ilkinond 5 лет назад
Nice concise proof of the irrationality of root 2. BTW, what's the music?
@enochsit
@enochsit 7 лет назад
Nice Music
@davidmarostica5895
@davidmarostica5895 7 лет назад
Where do I find this book and the full name? Thank you
@njwildberger
@njwildberger 7 лет назад
It is by John Stillwell, and called Mathematics and Its History. There are several editions.
@davidmarostica5895
@davidmarostica5895 7 лет назад
Thank you, I'm going to search
@KunalUniverse-ri3ws
@KunalUniverse-ri3ws 6 месяцев назад
thank you sir from India 2024 '
@adgut-gar5186
@adgut-gar5186 10 лет назад
The origin of the world inequality is simple and it´s easy to calculate (Another Pythagorean Theorem): Modern world is ruled by the great oligarchies: businessmen, merchants, politicians, clerics, and army. They and their fans keep half of humanity in misery on behalf of their insane privileges, and they are corrupting, contaminating and devastating the whole planet. “Do not dream of the vanity of becoming rich, because you will increase the poor”: Pythagoras, 6th century B.C. Actually these five castes and their henchmen, have only two option: change their behavior trying to repair the destruction and suffering they are causing, or pray for God does not exist, because, if He exists, surely He is engaged in preparing for them precious luxury suites in Hell. "Money can´t buy Heaven": Martin Luther, 1517. As Pythagoras well calculated, if there exist poor people it is because there exist rich people, so: 1) What is the right price of goods and services? : “The cost of production plus the salary of the fabricant which allows him and his family to live honestly well; more, would be a robbery” 2) What is the right salary for a worker? : “That which allows him and his family to live honestly well; less, would be a robbery” : Claude Proudhon, 1810. Fabricant. What would happen if all businessmen and tradingmen in the world would apply these two Proudhon´s rules?: ¡It wouldn’t exist inflation, depression, speculation, market cracks, collapses, wars, wealth and poverty! Don´t applying such two rules imply that some take more resources than needed, leaving others with less. But, why they do that? who gave them that right? God? Satan? Themselves? (To read the complete writing follow the link: “Ad Gut-Gar: Google+” in your browser. There, choose the button: “About”, and the writing is in “Story”)
@rath60
@rath60 9 лет назад
Poverty exist not because there are rich people but because a minimum of capital is not set and regulated for all people.If there where less capital that needed for a minimum capital to be distributed to all members of a population even if all members had equal capital they would all like wise be poor. Rather richness insures only that capital is unequally distributed among peoples. It is important to state that inequality and poverty both lead to civil unrest. It is also important to note that if you value holding property that accumulation of wealth by those that have wealth is inevitable .If you value autonomy valuing property follows. Autonomy a value you place on your actions to be satisfied for you to take them. That is you cannot be coerced to taking actions without an agreed compensation. This compensation is capital or property even if the compensation is another action.
@adgut-gar5186
@adgut-gar5186 9 лет назад
Jose Hernandez Thank you for your comment Jose. Before answering, let me ask you if you already read my full writing in Google+.
@rath60
@rath60 9 лет назад
nope just read you comment but mine still stands
@adgut-gar5186
@adgut-gar5186 9 лет назад
Jose Hernandez Sorry, I don´t understand. What do you mean by " but mine still stands"? If you mean "I don´t care what you write, I have my own opinion", you are right. The difference between opinions is that some are more compatible with reality than others. Greetings.
@rath60
@rath60 9 лет назад
I meant i agree with you argument but it does not retract from my own.
@Raoul_Moula
@Raoul_Moula Месяц назад
Thank you so much!
@njwildberger
@njwildberger Месяц назад
You're welcome!
@DanielaGonzalezdelaGarza
@DanielaGonzalezdelaGarza 8 месяцев назад
Thank you SO MUCH for sharing your lectures! These are exactly what I've been looking for to enrich my own math classes in high school!
@evanfabri7117
@evanfabri7117 4 года назад
You have done a wonderful thing for humanity. I am honoured to learn from you
@Ikeuliax
@Ikeuliax День назад
I’m not even mathematic student I’m law student but I like math this course was so good so easy to understand everything thank you
@Heater-v1.0.0
@Heater-v1.0.0 21 день назад
What's with all these students wandering in late in this and other lectures here? Back in the day my maths lecturer would bounce you out the door if you dared try walking in after he had started.
@aaronaaronaaron5922
@aaronaaronaaron5922 5 лет назад
you, sir, are really awesome. Thanks for this great course
@TempleElaine-z4l
@TempleElaine-z4l 6 дней назад
Miller Michael White Brenda Clark Sandra
@Danielsingerymusic
@Danielsingerymusic Год назад
Literally one of my favourite videos ever
@brendawilliams8062
@brendawilliams8062 3 года назад
Blessed to have Dr. Wildberger.
@xybersurfer
@xybersurfer 5 лет назад
nice. i loved the proof of the theorem
@cengizeren366
@cengizeren366 4 года назад
beautifully presented
@Andr3wco7
@Andr3wco7 10 лет назад
MathHistory1a: Pythagoras' theorem
@TheHumbleAv
@TheHumbleAv 10 лет назад
I use to watch your videos
@gregg4
@gregg4 12 лет назад
@hariveerakumar150590 Thanks for your very thoughtful answer.
@dannyll15
@dannyll15 12 лет назад
your lecture just inspired me to learn im going to go get ahead in my math class and my physics class.
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