This was an amazing talk. Euler is my favorite mathematician (and person) in history, and Prof. Dunham explained part of his contributions in the most precise, clearest and wittiest way as possible. Despite knowing almost all of these beforehand, i enjoyed it very much. Thank you!
Thank you for this great talk. I loved math in school and college, and sure wish my teachers had had the time to portrait the people behind all the theory. School mathematics depicts only the final result of theory, not how people came up with it, made mistakes, how amazing the idea was at the time, etc. We take it all for granted and talks like this make it all come to life. Thanks!
Euler didn't think of non-euclidean geometries; if he had, he could have wrote books on that alone. He didn't come up with Elliptic functions; imagine what he could have done with that. He didn't come up with the fundamental theorem of algebra(Gauss did). Euler didn't think of dedekind cuts which you would think he could have done. He didn't do Cantor's transfinite numbers even though Galileo gave more than a clue to transfinite numbers. He didn't come up with Galois theory.
It's kind of surprising that Dunham doesn't question or wonder why Leonard Euler didn't think of George Cantor's transfinite numbers since Mr Dunham knows that Euler studies with the Bernouli's; Johan Bernouli(spelling?) discovered an aspect of infinit sets in his solution of the harmonic series. Euler almost certainly would have known about this result. In fact William Dunham points out that the Bernouli's can't solve the next logical series problem; Euler as Mr Dunam points out .
I point these things out just to point out that different people solve different problems no matter who you are; quantity doesn't necessarilly matter.
Excellent! I have Prof Dunham's "Euler: Master of Us All" from the AMA. It's a great read and explains all the great discoveries explained in this lecture. Perfect companion for those who want "the other half", focusing on the actual mathematics.
The end's excitingly fascinating, brought brightly and nimbly through laughter and enchantment by an apparently magnificent and wonderful Professor. :) Such moments and experiences make me admire and love math even more than I already do - using passion, logicalness and simplicity, the greatest mathematical discoveries and breakthroughs were made along human history.
"Euler was not the inventor of the number e, even though he gave mathematicians the symbol e. The existence of e is implicit in John Napier's 1614 work on logarithms, and natural logarithms are sometimes inexactly dubbed Napierian logarithms. The constant 2.71828 . . . was referred to in Edward Wright's English translation of Napier's work in 1618."
Dear asshole in the audience that is continually interrupting with questions, did you come to listen to a lecture or to give a lecture. P.S. Save questions and comments until the end.
I'd like to further note about Leonard Euler being 1) I guess you could say a god believer, and 2) a calvinist.
Well, Archimedes laughed at Aristarches sun centered cosmology; the point is that not only the smartest amongst us can make mistakes, but even some stuff that is not so hard to discover.
well, I know that William cannot account for and describe everything that Leonard Euler(seems to me that he gives more of the little mind teaser type of things Leonard did than most of his significant analyses; it's like just the little tidbits can blow the minds of us lowly non-mathematicians!); but, I know of one thing that Leonard Euler actually messed up that I think is particularly significant; he missed discovering Fourier analyses;
What a great lecture! Thank you for posting this. Professor Dunham has an amazing talent of driving interest in his topic.
Will he be doing any other lectures?
kymbolino 4 months ago
This was an amazing talk. Euler is my favorite mathematician (and person) in history, and Prof. Dunham explained part of his contributions in the most precise, clearest and wittiest way as possible. Despite knowing almost all of these beforehand, i enjoyed it very much. Thank you!
MrElephantMemory 4 months ago 5
Thank you for this great talk. I loved math in school and college, and sure wish my teachers had had the time to portrait the people behind all the theory. School mathematics depicts only the final result of theory, not how people came up with it, made mistakes, how amazing the idea was at the time, etc. We take it all for granted and talks like this make it all come to life. Thanks!
trudbol 4 months ago
If math curriculums were taught with interesting historical facts like this, we will have many more mathematicians
jayeshsalvi 6 months ago 2
@jayeshsalvi i took many mathematics courses in university, and things like this humanize mathematics. You are 100 percent correct.
krist300 5 months ago
Most entertaining, made my weekend special.
mohance 6 months ago
Amazing, speechless.
mohance 6 months ago
Euler didn't think of non-euclidean geometries; if he had, he could have wrote books on that alone. He didn't come up with Elliptic functions; imagine what he could have done with that. He didn't come up with the fundamental theorem of algebra(Gauss did). Euler didn't think of dedekind cuts which you would think he could have done. He didn't do Cantor's transfinite numbers even though Galileo gave more than a clue to transfinite numbers. He didn't come up with Galois theory.
oker59 6 months ago
@oker59
It's kind of surprising that Dunham doesn't question or wonder why Leonard Euler didn't think of George Cantor's transfinite numbers since Mr Dunham knows that Euler studies with the Bernouli's; Johan Bernouli(spelling?) discovered an aspect of infinit sets in his solution of the harmonic series. Euler almost certainly would have known about this result. In fact William Dunham points out that the Bernouli's can't solve the next logical series problem; Euler as Mr Dunam points out .
oker59 6 months ago
@oker59
Euler started his careers by solving this next logical number series problem.
oker59 6 months ago
@oker59
I point these things out just to point out that different people solve different problems no matter who you are; quantity doesn't necessarilly matter.
oker59 6 months ago
this is porn for mathematitians
kauboibiboppu 7 months ago
just a correction to a common misunderstanding, euler didnt "invent" euler's identity
18:18
lordennis01 8 months ago
an outstanding talk
daambassador1 8 months ago 4
Leonhard Euler is the final boss of mathematics?
Ciuperciuc 9 months ago 11
@Ciuperciuc he is the final boss of every game ever made
krist300 5 months ago
The Robin Williams of lectures
allensugar 10 months ago
Excellent! I have Prof Dunham's "Euler: Master of Us All" from the AMA. It's a great read and explains all the great discoveries explained in this lecture. Perfect companion for those who want "the other half", focusing on the actual mathematics.
cfgauss71 1 year ago
lolz at geniuses
Cymermanski 1 year ago
The end's excitingly fascinating, brought brightly and nimbly through laughter and enchantment by an apparently magnificent and wonderful Professor. :) Such moments and experiences make me admire and love math even more than I already do - using passion, logicalness and simplicity, the greatest mathematical discoveries and breakthroughs were made along human history.
AA10Megaviv 1 year ago
it means something very important haha
i love math...
partonfilaton 1 year ago
ehhh the number e wasn't Euler's creation =P.
"Euler was not the inventor of the number e, even though he gave mathematicians the symbol e. The existence of e is implicit in John Napier's 1614 work on logarithms, and natural logarithms are sometimes inexactly dubbed Napierian logarithms. The constant 2.71828 . . . was referred to in Edward Wright's English translation of Napier's work in 1618."
thedeathskittle 1 year ago
@thedeathskittle He was the one who discovered the many places it occurs, and its application...
DevoutSkeptic 10 months ago
We are talking about hyberspace. Have you ever heard of Leonard Euler? Well, now you have. Nowadays, it's good to keep up. Pay attention....
msyPARIAH 1 year ago
Dear asshole in the audience that is continually interrupting with questions, did you come to listen to a lecture or to give a lecture. P.S. Save questions and comments until the end.
TheRealSirNate 1 year ago
Euler was an amazing man.
RysioACF 1 year ago
@7:36,
Couldn't he have memorized Maclaurin series and calculated very quickly?
Drregaleagle 1 year ago
I'd like to further note about Leonard Euler being 1) I guess you could say a god believer, and 2) a calvinist.
Well, Archimedes laughed at Aristarches sun centered cosmology; the point is that not only the smartest amongst us can make mistakes, but even some stuff that is not so hard to discover.
oker59 2 years ago
well, I know that William cannot account for and describe everything that Leonard Euler(seems to me that he gives more of the little mind teaser type of things Leonard did than most of his significant analyses; it's like just the little tidbits can blow the minds of us lowly non-mathematicians!); but, I know of one thing that Leonard Euler actually messed up that I think is particularly significant; he missed discovering Fourier analyses;
oker59 2 years ago