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markem
02-09-2021, 08:45 AM
I subscribe to a site called Cantor's Paradise, which includes interesting stories about different facets of mathematics.

A famous mathematician, and subject of a book or two, is Srinivasa Ramanujan. His contributions are legion. Well, here is something that I didn't know about him. He proved that

1 + 2 + 3 + ⋯ + ∞ = -1/12

Yep. The sum of the integers through infinity equals -1/12. Turns out to be an important result, especially for quantum mechanics and string theory.

A short and very accessible article can be found here:
https://medium.com/cantors-paradise/the-ramanujan-summation-1-2-3-1-12-a8cc23dea793

Math is weird.

longknocker
02-09-2021, 08:56 AM
I subscribe to a site called Cantor's Paradise, which includes interesting stories about different facets of mathematics.

A famous mathematician, and subject of a book or two, is Srinivasa Ramanujan. His contributions are legion. Well, here is something that I didn't know about him. He proved that

1 + 2 + 3 + ⋯ + ∞ = -1/12

Yep. The sum of the integers through infinity equals -1/12. Turns out to be an important result, especially for quantum mechanics and string theory.

A short and very accessible article can be found here:
https://medium.com/cantors-paradise/the-ramanujan-summation-1-2-3-1-12-a8cc23dea793

Math is weird.

Obviously, I'm Not A Math Wiz, Mark! That Makes My Head Hurt!:r:D:tu

The Poet
02-09-2021, 08:56 AM
And what is the sum if you subtract infinity? :D

Remo
02-09-2021, 09:19 AM
I came up with 6...boy, was I way off :r

Steve
02-09-2021, 09:25 AM
Obviously, I'm Not A Math Wiz, Mark! That Makes My Head Hurt!:r:D:tu

x2!

jledou
02-09-2021, 09:53 AM
Interesting concept, the solution being a "math oddity" almost in that it is a valid solution but the practicality of the solution may not be there in real life.

Interesting to see that they move it back to the original string theory but as they mention doesn't apply to Supersymmetry.

I just reread A Brief History of Time and going through The Universe in a Nutshell.

Cool stuff and goes way over my head quickly.

stearns
02-09-2021, 09:57 AM
I came up with 6...boy, was I way off :r

I mean... when looking at every number ever 6 is pretty close :banger

markem
02-09-2021, 10:13 AM
I just reread A Brief History of Time and going through The Universe in a Nutshell.


Here is a pic of my "fun" math books, well, except for the CRC which is there to help me understand some of the rest.

http://www.cigarasylum.com/vb/attachment.php?attachmentid=19286&stc=1&d=1612890765

retired
02-09-2021, 10:31 AM
This is TRUE math.

https://archive.org/details/acacebf975583da4f8c9b353ef934495

jledou
02-09-2021, 10:35 AM
Here is a pic of my "fun" math books, well, except for the CRC which is there to help me understand some of the rest.

http://www.cigarasylum.com/vb/attachment.php?attachmentid=19286&stc=1&d=1612890765

That is awesome! Just reading some of the titles makes the gears start to smoke!

The Poet
02-09-2021, 12:07 PM
Here is a pic of my "fun" math books, well, except for the CRC which is there to help me understand some of the rest.

http://www.cigarasylum.com/vb/attachment.php?attachmentid=19286&stc=1&d=1612890765

I don't see Godel, Escher, Bach there. :confused: ;) :D

shark
02-09-2021, 12:43 PM
https://i.ibb.co/3hwm14z/images-1.jpg (https://imgbb.com/)

markem
02-09-2021, 01:03 PM
I don't see Godel, Escher, Bach there. :confused: ;) :D

It's on another shelf. So are many others.

markem
02-09-2021, 01:09 PM
It's on another shelf. So are many others.

Well, here are a few

http://www.cigarasylum.com/vb/attachment.php?attachmentid=19287&stc=1&d=1612901332

mosesbotbol
02-09-2021, 01:56 PM
Unless it's counting money, I am not into math.

markem
02-09-2021, 02:22 PM
Unless it's counting money, I am not into math.

I use my math to make money. I find it more productive than just counting.

mosesbotbol
02-11-2021, 11:58 AM
I use my math to make money. I find it more productive than just counting.

I rely on good looks and charm.

icehog3
02-11-2021, 01:37 PM
I rely on good looks and charm.

https://i.imgur.com/EJopJgh.gif

mosesbotbol
02-12-2021, 10:36 AM
https://i.imgur.com/EJopJgh.gif

Is that why I am so poor? :confused:

massphatness
02-12-2021, 11:29 AM
Yes

markem
02-13-2021, 10:13 PM
Was watching some youtube videos on Cantor tonight and found a mention of this book. Ordered from Amazon.

http://www.theannotatedturing.com/toc.htm

icehog3
02-14-2021, 09:40 AM
Was watching some youtube videos on Cantor tonight and found a mention of this book. Ordered from Amazon.

http://www.theannotatedturing.com/toc.htm

I'm gonna head to the student center Monday and buy the Cliff's Notes. -(P

markem
05-25-2021, 08:30 AM
Bringing this back to life to post a link to an interesting article on some physics history. It's about a topic that I have no clue about -- have tried for years but can't even begin to understand it -- quantum mechanics. It's about Albert Einstein and Niels Bohr and their fundamentally different views of physics.

https://www.cantorsparadise.com/the-bohr-einstein-debate-baa0929a78b5

Anyway, I found it an enjoyable read and quite a bit more understandable, to me, than most other articles that I have found on this subject.

I hope that some here find it interesting.

jledou
05-25-2021, 10:18 AM
Thank you for sharing Mark, a very good read.

This one contains some of the same characters but set around WW2 and the atomic bomb. Crazy to think of the discoveries and thinking back around 100 year ago.

https://www.amazon.com/Bastard-Brigade-Renegade-Scientists-Sabotaged-ebook/dp/B07K6HM573/ref=sr_1_1?crid=2GZXYWG03ZUN4&dchild=1&keywords=the+bastard+brigade&qid=1621959161&sprefix=the+bast%2Caps%2C224&sr=8-1

markem
05-25-2021, 10:25 AM
This one contains some of the same characters but set around WW2 and the atomic bomb. Crazy to think of the discoveries and thinking back around 100 year ago.

https://www.amazon.com/Bastard-Brigade-Renegade-Scientists-Sabotaged-ebook/dp/B07K6HM573/ref=sr_1_1?crid=2GZXYWG03ZUN4&dchild=1&keywords=the+bastard+brigade&qid=1621959161&sprefix=the+bast%2Caps%2C224&sr=8-1

cool! Read the first chapter online. A very well written story.