Can anybody suggest me any really good book that will help me get deep into the world of prime numbers,complex nr and everything that goes along with them? Any free book that I can find in internet. I have so many questions that my university math books can't answer.
Certainly intriguing is the link between the Gamma function and the Riemann’s zeta and between the Gamma and Beta, and consequently the relationship between Beta and the Riemann zeta. So it exists a link between the String Theory and the function Riemann’s zeta.
I am convinced that proving the hypothesis, if it can be, will not come by direct confrontation of the zeta function. I suspect the secret will be discovered through explorations of other mathematical experiments with the primes. In other words, we will know Riemann's zeroes line up as they do because another theorem predicts it.
The difficulty of Riemann to understand, I find, is the realm of four dimensional spaces one has to almost visualize to grasp the enormity of proving this hypothesis.
Riemann's math is a poetry, right. It has nothing to do with reality. I think the donkey tried to solve Fermat's mysterious theorem, "solved" it, then found a mistake and lost his mind. And became a mathematical mysterious poet. By the way, the vid is designed for 6th graders, I guess.
@EngineerAfghan group theory is a really abstract branch of mathematics, but the utility is really amazing it can by applied to almost all the stuff with symmetries, to chemistry (molecules), physics, cryptography, and many other areas, and group theory its abstract mathematics, just look to any book of the subject
@xXXXxcronoxXXXx -- Yes, group theory basically concerns sets of permutations (rearrangements of things), and permutations arise in many situations, as you point out.
Math is a meta-language. Music is also a meta language. Musical learning early-on in life fosters mathematical learning later-on. When the vid mentioned how Pythagoras dates back to 300 BC, it reminded me of a simple idea : once time has passed and all triangles have vanished, the relationship A squared plus B squared equals C squared will still be valid
"All other numbers are composite and can be factored"- I could not help but burst out laughing! With the dramatic music, I felt like all other numbers were somehow less classy or something? :)
mathematics are the most beautiful of all arts...now in the latest centuries it has become so abstract,so misunderstood ,it's the magic world of the future
We do not use always mathematics in physics or in the other sciences. We use it in itself. We give demonstration to mathematical theorem by another ones.
wow found this video trying to do a math paper... looks for a great intro for a video that I want to see- dumbing all this stuff down for me! anyways, I wish I could see the beauty of math like you seem to be able to
@elidan123456 until some analogous connection is found to some physical phenomena in which case a radical unforeseen understanding of nature can be expressed and now better understood mathematically, right?
@piranyas I dunno. The secret of mathematics lies in simplicity of its foundation and perfect harmony of theorems. One theorem you can prove with many ways, and - if your proving method is correct - you always get one resoult. Let's say, the existing of zeroes of every polynominal over the complex body - you can do it by classical mathematical analysis, by abstract algebra, or by Liouville Theorem in complex analysis. And many, many different ways.
Can anybody suggest me any really good book that will help me get deep into the world of prime numbers,complex nr and everything that goes along with them? Any free book that I can find in internet. I have so many questions that my university math books can't answer.
Rina25tir 5 days ago
what is the the name of the score?
rationalpower 1 week ago
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great video thanks
thegeffc 1 month ago
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Certainly intriguing is the link between the Gamma function and the Riemann’s zeta and between the Gamma and Beta, and consequently the relationship between Beta and the Riemann zeta. So it exists a link between the String Theory and the function Riemann’s zeta.
cosmospianist 1 month ago
Comment removed
cosmospianist 1 month ago
Prima!
eenblanke 2 months ago
KUDOS TO THE UPLOADER! THIS IS VERY FASCINATING.
mabuhayguy 2 months ago
I am convinced that proving the hypothesis, if it can be, will not come by direct confrontation of the zeta function. I suspect the secret will be discovered through explorations of other mathematical experiments with the primes. In other words, we will know Riemann's zeroes line up as they do because another theorem predicts it.
The difficulty of Riemann to understand, I find, is the realm of four dimensional spaces one has to almost visualize to grasp the enormity of proving this hypothesis.
MisterEvasion 3 months ago
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what is the name of that song?
peppybocan 3 months ago
Comment removed
CMLaneLV 5 months ago
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Forgot to mention, I am just kidding :wink
scrtg 5 months ago
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Riemann's math is a poetry, right. It has nothing to do with reality. I think the donkey tried to solve Fermat's mysterious theorem, "solved" it, then found a mistake and lost his mind. And became a mathematical mysterious poet. By the way, the vid is designed for 6th graders, I guess.
scrtg 5 months ago
@EngineerAfghan group theory is a really abstract branch of mathematics, but the utility is really amazing it can by applied to almost all the stuff with symmetries, to chemistry (molecules), physics, cryptography, and many other areas, and group theory its abstract mathematics, just look to any book of the subject
xXXXxcronoxXXXx 6 months ago
@xXXXxcronoxXXXx -- Yes, group theory basically concerns sets of permutations (rearrangements of things), and permutations arise in many situations, as you point out.
KevinByrne2 5 months ago
Comment removed
godlordy 6 months ago
Math is a meta-language. Music is also a meta language. Musical learning early-on in life fosters mathematical learning later-on. When the vid mentioned how Pythagoras dates back to 300 BC, it reminded me of a simple idea : once time has passed and all triangles have vanished, the relationship A squared plus B squared equals C squared will still be valid
DlABL0GlCAL 7 months ago
Awesome!!!! Nice job.
stkilda1969 8 months ago
Why the hell are mathematicians obsessed with the words elegant and beautiful? Also see "deep". XD
iickle 8 months ago
@sjsawyer lol @ factoring a positive integer an infinite number of ways
PLUSSLife 8 months ago
This should be the standard quality of all videos. Anything less perfect than this is sub-par.
Vorbis5 9 months ago
"All other numbers are composite and can be factored"- I could not help but burst out laughing! With the dramatic music, I felt like all other numbers were somehow less classy or something? :)
skatty14 9 months ago
I'm actually working on the Riemann Hypothesis for some time now. It's a really beautiful math and also the most incredibly hard to solve problem,
IkesLc 9 months ago 2
Ojala me toque estar vivo para ver concluida esta demostracion
mariogavilan1 10 months ago 2
mathematics are the most beautiful of all arts...now in the latest centuries it has become so abstract,so misunderstood ,it's the magic world of the future
mihaitensor 11 months ago
That is absolutely fantastic.. Amazing video.. Congratulations :) And thank you for sharing :)
blommasidan 1 year ago
Wonderful video, thanks for creating this, it enlightened me about a very complex yet engaging topic.
Tecun85 1 year ago
I am very grateful that you took the time to create such an awesome video
thank you very much
MohaSharpeyes 1 year ago
@esraretin The person to prove Riemann's hypothesis will undoubtedly be a genius
Reward is $1,000,000 dollars issued by the Clay institute of mathematics
joesjoesjoes1 1 year ago
A nice little touch in the universe of mathematics.
sdegrace 1 year ago
We do not use always mathematics in physics or in the other sciences. We use it in itself. We give demonstration to mathematical theorem by another ones.
simpleehumain 1 year ago
all sentences and pictures are amazing in this video...thanks...
kuzmaprtkv1 1 year ago
The best video i've seen on youtube !
zenoq 1 year ago
its art
NickyChanSaying 1 year ago
Prime numbers: Arithmetic's Atomic Elements
I freaking love that
evrythingelswastaken 1 year ago 2
the primes are the way to write your name in history
TheAcidgum 1 year ago
Grand job, thanks
ProsperosCloset 1 year ago
As a mathematician, my life will not be complete unless I live to see this solved.
BACUS666 1 year ago 3
at 3:52 the density of primes is approximately P(n) = n / log(n)
This is more accurate as n approaches infinity.
Kakashinoor 1 year ago
This video in combination with this music shows the beautiful abstract complexity of mathematics itself
LPfan1234567 1 year ago
Impressively marvellous
sipapetta 1 year ago
Bravo!!!
nkgr01 1 year ago
I agree that high level Math is the language of the universe.
dnarasimham1 1 year ago
Very cool vid. well done.
faunflynn 1 year ago
Excellent video!
Gearhe1d 1 year ago
How about the video of another Millennium Prize Problems?
abc135246 1 year ago
@abc135246 yes. a video like this for all 7 would be fantastic!
tantalides 1 year ago
excellent video. now on my fav list, too . . . greetings
SigNatDx333 1 year ago
loved it..
bugs1618 1 year ago
wow found this video trying to do a math paper... looks for a great intro for a video that I want to see- dumbing all this stuff down for me! anyways, I wish I could see the beauty of math like you seem to be able to
merachelanne 1 year ago
I like your analogy of primes as the "atomic elements" of arithmetic.
RangerGordon 2 years ago 3
Excellent. Just the kind of vid I've been working up to trying to make. Please check out my "Proof of the Prime Number Theorem - Part 1"!
ortega24024 2 years ago
Really great video. A beautiful combination of sounds, images and ideas.
heebalob 2 years ago 42
Really great comment. A beautiful combination of words, appreciation and gayness.
jazzfunk1992 2 years ago
@careface2k6 thank you!!!!!
Vistorrrr 2 years ago
best video i've ever seen of math
scout6686 2 years ago 2
It's wonderful !
hugo3933 2 years ago 2
Beautiful, fantastic video! Thank you so much for sharing with us!
rikanov 2 years ago
speechless
amishima0 2 years ago
This is beautiful!!
The more abstract and difficult math becomes, the more useful it is.
piranyas 2 years ago 53
@piranyas Actually the most difficult math is mostly recreational and has few, if any, practical applications.
elidan123456 9 months ago
@elidan123456 until some analogous connection is found to some physical phenomena in which case a radical unforeseen understanding of nature can be expressed and now better understood mathematically, right?
PLUSSLife 8 months ago
@piranyas I dunno. The secret of mathematics lies in simplicity of its foundation and perfect harmony of theorems. One theorem you can prove with many ways, and - if your proving method is correct - you always get one resoult. Let's say, the existing of zeroes of every polynominal over the complex body - you can do it by classical mathematical analysis, by abstract algebra, or by Liouville Theorem in complex analysis. And many, many different ways.
Mortmaire 2 months ago