The first part of the video (my signature slide) is overlaid by the final bars of "Himno Nacional Mexicano", which I played on my keyboard.
The main part of the song is one of Tom Lehrer's live performed songs, "Lobachevsky". It is part of Tom's second published live performance album, "Tom Lehrer Revisited". But I obtained the actual music from the box set, "The Remains of Tom Lehrer", which was released in 2000. Enjoy.
And the last part is the main theme of "The Phantom of the Opera", by Andrew Lloyd Webber. Simply the 'cherry on top', and my personal song.
Here's the description Tom Lehrer himself made about the song: "This is a description of one way to get ahead, not just in mathematics, but in any academic field. It was modeled after a routine that Sylvia Fine wrote and Danny Kaye performed about the Russian director Stanislavsky. Incidentally, Nicolai Ivanovich Lobachevsky (1793-1856) was a genuine mathematician, best known for his development of non-Euclidean geometry. His name was chosen here for solely prosodic reasons."
Sorry I gave so much information about the music earlier. I don't want to get screwed by stupid WMG again. They are a bunch of arse-holes. And to make sure I am not screwed, have them read the following credits:
Recorded at KRESGE AUDITORIUM, MASSACHUSETTS INSTITUTE OF TECHNOLOGY, Cambridge, MA (11/23/59 & 11/24/59)
Produced by TOM LEHRER
Engineered by STEPHEN FASSETT
From the album "Tom Lehrer Revisited", Decca [U.K.] #LK-4375 (1960)
[NOTE: A somewhat different version of this album, incorporating portions of concerts done in Australia in 1960, was issued domestically as Lehrer #TL-201 (1960)]
"The Remains of Tom Lehrer" Compilation ℗ 2000 Warner Bros. Records Inc. & Rhino Entertainment Company.