The Queen of Mathematics - Professor Raymond Flood

Carl Friedrich Gauss one of the greatest mathematicians, is said to have claimed: "Mathematics is the queen of the sciences and number theory is the queen of mathematics." The properties of primes play a crucial part in number theory. An intriguing question is how they are distributed among the other integers. The 19th century saw progress in answering this question with the proof of the Prime Number Theorem although it also saw Bernhard Riemann posing what many think to be the greatest unsolved problem in mathematics - the Rieman Hypothesis.
The transcript and downloadable versions of the lecture are available from the Gresham College website:
www.gresham.ac.uk/lectures-and...
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[@NocturnalJin]

Always helpful when a speaker points to a screen and the camera stays locked on the speaker...

[@GreshamCollege]

Thanks! Delighted to hear that there are people there to enjoy these lectures!

[@GreshamCollege]

The slides ARE available for download, and the transcript too - we put up everything we have on our website (follow the link in the video description above). We're always fighting to up the quality and we have a route to improving it over the coming month or so...

[@FlockOfHawks]

Slides and transcripts and audio and a dedicated page per lecture : your service to both your lecturers and your audience is admirable

[@omgalizee]

Thank you Raymond Flood and Gresham College!

[@GreshamCollege]

Noted. Thank you for the feedback.

[@forestpepper3621]

The "Goldbach Conjecture" (26:00 in video) can be asked equivalently as: "Is every integer halfway between two primes?" The Goldbach Conjecture is equivalent to saying that for each integer N, we can find d so that N-d and N+d are both prime (when N is prime, then d=0). This just suggests a different way of thinking about the problem.

[@MrRavaging]

I should add that I am greatly enjoying the free education. Your work is greatly appreciated.

[@rfzafar]

"Sieve of Eratosthenes" is much simpler and authentic way of generating primes upto a number.

[@jccusell]

I commend the professor, an amazing lecture, very concise.

[@acerovalderas]

Excellent lecture. Bad assistant with the screen. We could not see the numbers Professor Flood was referring to.

[@joebrinson5040]

Nice lecture. Thanks for posting.

[@GreshamCollege]

So do we!

[@elidrissii]

Great video. Also, a bit of related news; A new Mersenne prime was announced today and discovered a few days prior, the 48th we know of, and it's M(57,885,161). It's thanks to Dr. Curtis Cooper but mainly also thanks to the huge amount of GIMPS volunteers.

[@FlockOfHawks]

Since 2017 the largest is now M(77,232,917) , the 50th so far - there may be more between 47 and this one . Source / further reading : en.wikipedia.org/wiki/Mersenne_prime

[@MrRavaging]

If I may make a suggestion to the camera-men and the editor... When the speaker is referring to a slide, it is much easier for those of us who are not in the room to be able to see the slide as well. Not so much time needs to be spent with the camera on the speaker. Thank you.

[@blabla2235]

Fantastic videos guys. Keep em' coming!

[@MoerreNoseshine]

Alternatively, could you make the slides available for download? Then it's up to us viewers which one we want to look at. Thanks for all the great videos, I subscribed last year so that I would not miss any uploads :-) (PS: How about 720p recording? Not a huge priority, it would just look better)

[@123must]

A lot of thanks !

[@user-ti1nb4yc2u]

My greetings to all from the prime year of 2017!

[@navehsteiner3736]

thanks!

[@michaelraum3393]

10:48 I’m more impressed at how he factored 30,031.

[@bryan3dguitar]

Just checked Fermat's Prime Generating function for the case where n = 5. At 19:08 the slide shows 2 raised to the 32nd power + 1 = 4,274,967,297. This is not divisible by 641 as shown on the slide. Because the correct answer is 4,294,967,296 + 1 = 4,294,967,297. Which is divisible by 641. Just sayin' ..... :)

[@TheDaddyO44]

I like this guy

[@BiophysicalChemist]

22:40 He was correct the first time, that number has 13 million digits, not over a trillion digits.

[@melese1988]

I'm not sure if you're slightly joking, but you should that the kind mathematics he did is extremely beautiful.

[@carstenbode8251]

Gauss is one of the greatest genius ever!!!

[@ceceliapassarella8485]

Mathematics translated into artistic harmonics reveberating from a single note this beauty abstract with imagery of non concrete intangibles within the finente are understandable as it is the philosophic under carriage silently bourne by the leviathan beneath the waves

[@a690ac52ed7]

39: Why in the hell don't you show the graph?

[@morleydanrivera6786]

does mathematics has a criterion?

[@soumyapoddar]

how can I contact the professor, who is giving this lecture?

[@GreshamCollege]

Hi, We can forward emails to the professor. Our contact details are on our website: www.gresham.ac.uk

[@soumyapoddar]

GreshamCollege thanks a lot

[@mpartel]

This was a little hard to follow since the slides are hidden way too quickly.

[@kevingarry11]

Prime viewing lol good clever stuff

[@numcrun]

So infinity! + 1 is the last prime.

[@Darkness93]

infinity is a symbol though representing the "ongoingness" of numbers, and can't be quantified. Numbers go on forever, so as they do, there will always be more factors for them.

[@davidwilkie9551]

Noticeable about primes.., is the way they assume dominance by "phase-locked" probabilities in continuity with the common unity, in continuing connection, so the search for conformity - the uncertainty principle -, generates a moving number sequence condensing out of the most probable existing primes in the selected circumstances, such as the resonant vibration of structures in everything from quarks to elephants. Each prime is a probability number coordinate system of other primes. At the limit of the process are the numbers that are innately constant algebraic functions, e, i, Pi etc "fitted" to the one connection in eternally shifting patterns of math, physics and chemistry, collectively called "Time". The symbol is not the thing, to believe in absolute proofs is a form of magical thinking, but in balance, not to attempt a proof is to avoid the dominant probability. Pedantic, and it takes the magic out of it so it's bad for fantasy. In the spirit of mathematics, opinion statements are the first guess approximations that introduce food for thought to exercise the mind. IMO Excellent presentation of core concepts.

[@grellize]

That's amazing! Give computer programming and algorithms a try. If you get good at it, you don't even need a degree to get a job.

[@Kurtlane]

54:21 "Every time you see i squared, you replace it by 1" Shouldn't it be -1 (minus one)? Great lecture otherwise!

[@AlqGo]

It still is a video of a great lecture.

[@shaileshthakkar4984]

biography in hindi of gauss

[@vjpillay]

What do you mean by queen of mathematics in your title?Is it not queen of science? But mathematics is not science..

[@Veaseify]

Mathematics is regarded as a Formal Science, subjects such as Physics and Chemistry are called Empirical Sciences.

[@bruceabbott2517]

My dear Kanvij - Ms. Winder was evidently referring to Professor Flood's presumed sexual orientation, rather than a serious classification of mathematics as a science or a non-science. Please refer to Zanzibar native Freddy Mercury of the British rock group Queen for further edification.

[@malcolmbryant]

Right at the beginning of the lecture, he cites Gausee as calling mathemtaics "the Queen of the sciences" and "number theory is the Queen of mathematics".

[@catman8965]

I have seen other published sources referring to Gauss as "Prince of Mathematics" However he kinda reminds me of Grandpa Munster.

[@stevedl3150]

I think of maths as the cement that holds the whole of Science in its proper place. Ie, it gives the most precise structure to Science that is available to us.

[@MrWemoveinperiods]

1(2) of my favs; soundcloud.com/riemann-gauss/uncertainty-principle?in=riemann-gauss/sets/we-move-in-periods

[@eapiii]

Slides presentation is awful, but great arithmetic problems and tricks.

[@unbeatable1519]

What

[@estring123]

u claim to understand general relativity, yet all the math u know is calculus & complex numbers. LOL