A Tribute to Euler - William Dunham
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- Опубліковано 21 лис 2011
- A Tribute to Euler
William Dunham
Truman Koehler Professor of Mathematics, Muhlenberg College
Tuesday, October 14, 2008, at 6:00 PM
Harvard University Science Center, Hall D
The fall 2008 Clay Public Lecture will be held at Harvard on October 14, in association with the Harvard Mathematics Department. Known for his writings on the history of mathematics, Professor William Dunham will examine the genius of one of the world's most prolific mathematicians in his talk "A Tribute to Euler" in Hall D of the Harvard Science Center at 6 pm.
Among history's greatest mathematicians is Leonhard Euler (1707-1783), the Swiss genius who produced an astonishing 25,000 pages of pure and applied mathematics of the very highest quality.
In this talk, we sketch Euler's life and describe a few of his contributions to number theory, algebra, and other branches of mathematics. Then we examine a particular Eulerian theorem: his simple but beautiful proof that there are as many ways to decompose a whole number as the sum of distinct summands as there are ways to decompose it as the sum of (not necessarily distinct) odd summands.
Condorcet, in his Eulogy to Euler, wrote that "All mathematicians now alive are his disciples." It should be clear to those who attend the Clay Public Lecture that these words are as true today as when they were first set down, over two centuries ago.
William Dunham, who received his B.S. (1969) from the University of Pittsburgh and his M.S. (1970) and Ph.D. (1974) from Ohio State, is the Truman Koehler Professor of Mathematics at Muhlenberg College. In the fall term of 2008 he is visiting at Harvard University and teaching a course on the work of Leonhard Euler.
Over the years, he has directed NEH seminars on the history of mathematics and has spoken on historical topics at dozens of U.S. colleges and universities, as well as at the Smithsonian Institution, the Swiss Embassy in Washington, and on NPR's "Talk of the Nation: Science Friday."
In the 1990s, Dunham wrote three books on mathematics and its history: Journey Through Genuis: The Great Theorems of Mathematics (1990), The Mathematical Universe (1994), and Euler: The Master of Us All (1999). In the present millennium, he has written The Calculus Gallery: Masterpieces from Newton to Lebesgue (2005) and edited The Genius of Euler: Reflections on His Life and Work (2007). His expository writing has been recognized by the Mathematical Association of America with the George Pólya Award in 1992, the Trevor Evans Award in 1997, the Lester R. Ford Award in 2006, and the Beckenbach Prize in 2008. The Association of American Publishers designated The Mathematical Universe as the Best Mathematics Book of 1994.
Our thanks to the Harvard Mathematics Department for hosting this event.
www.claymath.org/public_lectur...
www.claymath.org/public_lectur...
This guy is a phenomenal presenter!
He wrote a wonderful "light" math book called "Journey Through Genius," which takes you through a large handful of big theories from Archimedes through Euler and beyond.
Euler is not genius in the sense that many others are considered genius. He is just Euler. He is in his own class!
Leonhard Euler...the greatest mathematician of all time, a real genius and his contribution to mathematics is beyond imagination.
A nice lecture by William Dunham.
/me votes for Euler
He's no Gauss ;)
Many mathematicians would say Gauss was greatest. Many years ago, when I was a freshman taking differential equation, we had an excellent textbook called “Differential Equations with Applications and Historical notes”. I remember reading that if Gauss had not so many theorems (and else ) named after him, it was because many were named for the first to study it after Gauss. Gauss gave us the Fundamental Theorem of Algebra and the Central Limit Theorem.
What about Fourier?
@@charlesbrowne9590 i really thought that joke was originated from euler because euler had so many theorems and discovery in every branch of mathematics
This is what I would imagine a good tedtalk being if they still made them like this.
These days all TED Talks do is A. Stroke off the audience or B. stroke off the presenters ego
Hero mathematician presented by hero speaker!
And on the third day God said: Let there be Euler!
Right and Newton
@@josesaldivar655 your reply after seven years.... And i reply in 2 hours.
@@josesaldivar655 and gauss
There is no god
On the fourth day God said: Let there be Gauss. Then I can call it an early weekend.
That is a beautiful proof of D(n) = O(n)
Great tribute to probably the greatest genius who walked the Earth - as Mr. William Dunham told quality and quantity of Euler's work were just staggering. I was told many times that some persons were geniuses (programmers, professors, engineers, doctors, ...) and some of them I know well enough or very well. If they are considered geniuses how to categorize great Euler? Alien? I have always loved math and natural sciences in general and throughout my whole education from elementary school to mechanical faculty Euler's name was mentioned so frequently in mathematics, physics, mechanics ... Producing ultimate math while being completely blind is something beyond belief. Every time I hear that fact I am left speechless and, to be honest, a few tears from my eyes start to fall. I have always been impressed by great people regardless of their profession (sport, art, science, ...) but this great man stands out from all others. There was one and only LEONHARD EULER. Many thanks to Mr. William Dunham, tribute was very interesting to watch and those 55 minutes passed very quickly. 25 000 pages of work!!! Just Euler's identity was enough to make him immortal but he did much much more with detailed explanation allowing us with decent math knowledge to follow him (up to some point of course in his more complex works) and to admire him. LEONHARD EULER RULES!!!
That's what I say :)
❤
Great way to spend an hour on a Sunday!
There are some good mathematics lectures (for general audience) online. This has got to be one of the best.
Like?
😊😊
Totally worth watching at 1 at night 😇👌🏼👌🏼
2:50am here, and still worth it :)
00:40 now... be back in 20
Euler was brilliant at math, this guy is brilliant at presenting his biography and ideas to the public. Great job, Mr Dunham!
Humorous, accessible and interesting. I was engrossed throughout. Good questions at the end too.
I believe that one of the biggest problems with Math education is the lack of a good narrative.
In contrast, if you compare with Physics even school children know of Einstein and E=mc2. But the story of people like Euler is left largely unknown by the masses.
And with no story, what is also lost is the fascination for math itself.
What I would give to see this man, what a treasure if he was still alive I cant imagine the tech he could create
He is the master of us all.
Terrific presentation!
I will never forget the day i learned the Euler Identity. I was working through a book called Plane Trigonometry by Wylie; in the section on hyperbolic trig i was following the steps in a series. and came to the point where, as in the lecture, it said, "now let x equal etc.", so i did. My jaw dropped and i almost threw up from the butterflies in my stomach. I was truly astonished, and still to this day whenever i see that identity i marvel at it's elegance. Euler was truly a giant.
Yeah, my jaw dropped when I first saw that (many years ago). And my jaw just dropped again when I saw the proof at the end of this video.
An amazing mathematician and a superb presenter
Great presentation Sir, I am so pleased to meet Euler. Thanks for introducing
A wonderful lecture.
Clear, funny, even simple most of the time. What more could one ask?
I love the passion of this gentleman.
1 hour was well spent watching this! Thanks, professor Dunham! I feel very inspired after watching this :)
This was a really great lecture. Euler was a genius. But yeah, I'd like to know more about the pattern he saw in amicable numbers!
Thank you for taking the effort to record this!
Fascinating! Thanks for the excellent presentation!
Beautiful lecture!
Outstanding lecturer!
That was a good presentation. Euler was a phenomenal genius - i am really impressed.
Great lecture - Prof Dunham !
I'm hooked! Just ordered your book in hard cover!
Great lecture....
Incredibly good lecture. Great presenter. Amazing story.
Wow... Magnificent presentation.
Impressive talk done by Professor William Dunham on Euler's life and some amazing discoveries...
Delightful presentation. Delightful.
incredible guy. the proof of the partitioning of numbers was amazing!
Loved this!
Fantastic Dr William Dunham. It is inspiring me in this New-year.
Thanks,Thanks & Thanks a lot.
Love to listen more from you ,Sir
Rajendren & Bhagyalakshmi
That was an amazing talk!
Inspirational...so wonderfully presented
great lecture! amazing job!!!
What a brilliant lecture
I have no words to appreciate.
Talented speaker. Thank you for making this video posible
Euler's column buckling equation is still classic in structural engineering.
Definitively. It is called Elastic Eulerian Buckling. And it is partly based on the fact that a column, in compression, should have more than ONE solution for its shape (the straight form, and the start of the buckled form), but since it is strictly linear, a system of strictly linear equations, such system should be with a determinant possibly reaching a value of zero, leading the buckling should occur only when the axial compression force reaches a given level, Ce, C for compression, e for Euler.
Excellent topic. Delightful lecturer.
Thanks for sharing
Excellent!!!
Way to go, Uncle Leonhard!
Euler was indeed a genius no doubt, great presentation thank you Mr. William Dunham
Euler's everywhere in maths,physics, economics
I have been aware of Euler since my high school days and was thoroughly impressed even then. Although I had never heard of William Dunham until a couple of yrs ago due to his book (master of us all), I must say he is outstanding as an orator of mathematics esp on Euler. Much appreciation to him for popularizing Euler who is also one of my fave along with Gauss, Riemann, Galois, Abel, Ramanujan etc. Wish he put as much efforts in writing about Gauss et al as well. Thanks for the video.
Congratulations Bill Dunham!!! Your books are fantastic. Best regards from Brazil...
Who downvoted this? This guy is a great lecturer. Of course he aimed for a lower level of audience, but that's what made it enjoyable.
Absolutely a joy!!
Excellent presentation...
Inspiring
I just came across this right now, you have no idea how late I feel I am!
Very good lecture !
agree, that was seriously insane the way it fell together like that
13 children
and such high production
with one eye
thats work ethic and God
God Bless
He was too smart to believe in silly things like God.
@@acetate909 Euler was christian, atheism was basically non existent until recently.
www.google.com/url?sa=t&source=web&rct=j&url=en.m.wikipedia.org/wiki/Leonhard_Euler&ved=2ahUKEwjcubiClanlAhXEwosKHR6-CWUQFjAAegQIBhAB&usg=AOvVaw3yjZzr3A6wQC21gkvBe3fV
I'm an atheist myself, but it's important to use correct facts rather than distorting the truth to promote ones own ideology.
@@zinzorius313 Panda's didnt existed back then also
@@kukulroukul4698 Pandas did exists back then. Although they were first discovered by europeans in 1869 by a cathololic missionary.
Happy Birthday, Euler(:
Most entertaining video I have ever seen..
euler was a genius and an outstanding presentation by dunham
Very good talk, impressive stuff.
Nice talk!!!!
Euler was one of my greatest pupils.
Man that was great!
I love this guy.
amazing
amazing...
Remarkable person, I speak of Euler. Dunham is good too! Worthy of a look see. You will be in awe of Euler even if you "suck at math."
Great lecture! Euler's funny headgear is called chaperon.
great video
Happy birthday ! We April 15, 2013, so I celebrate this anniversary !
Euler (1707 - 1783) enjoyed rooting for the Oilers when they were in Houston under the direction of Bum Phillips (1923 - 2013).
Great fun!
Euler was so clever....
awesome!
Euler stop blowing my mind
welldone!!
omG OMG OMG - that proof at the end just blew my mind!
Euler is everywhere from Engineering to science
After a lecture about the mathematical virtue of Euler I feel I should give up doing mathematics.
the way Euler proved D(n) =O(n) is nothing shot of beautiful. nice presentation.
awesome video... !!!
Awesome!!! Nice video
Merci beaucoup, très nourrissant :)
Excellent presenrion with raising power of homour
Produced 2008. Good post - Thanks.
this is sooo coooooool!!! if i could do a fraction of what Euler did...man. lol Happy Birthday, Euler(:
Euler decided to look like being in a commencenment ceremony in the first portrait !
greatest mathematician euler
Yes but together with Gauss !!!!!!!
Gauss is # 2. He was very precise but nowhere near as productive as Euler.. /me says Euler is the greatest mathematician of all time. That includes Gauss, Newton, Archimedes, and anybody else.
At 21:38-- Is not the circumcenter the center of the circumscribed circle?
Euler fue un excelente matemático
great
In the second volume of Die Welt Als Wille und Vorstellung Schopenhauer said something similar to the final quotation, from which I presume it must be derived: 'talent is like a marksman who hits a target which others cannot reach; genius is like the marksman who hits a target which others cannot even see.'
Good video!!!
I've watched this 4 times now, Dunham is an amazing lecturer
Relaxed yet elegant discourse on Euler. What a pleasure to view. Pity a Kanye video draws just as many views in minutes. And what, pray tell, was there to dislike here for those 20 viewers?