The Map of Mathematics
Video Overview & Insights
The entire field of mathematics summarised in a single map! This shows how pure mathematics and applied mathematics relate to each other and all of the sub-topics they are made from.
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This was exactly what I needed, thanks!
Patreon: https://www.patreon.com/ScienceMaps
To err is to human, and I human a lot. I always try my best to be as correct as possible, but unfortunately I make mistakes. This is the errata where I correct my silly mistakes. My goal is to one day do a video with no errors!
Im high too
1. The number one is not a prime number. The definition of a prime number is a number can be divided evenly only by 1, or itself. And it must be a whole number GREATER than 1. (This last bit is the bit I forgot).
2. In the trigonometry section I drew cos(theta) = opposite / adjacent. This is the kind of thing you learn in high school and guess what. I got it wrong! Dummy. It should be cos(theta) = adjacent / hypotenuse.
How can one infinity be bigger than another ๐ค
3. My drawing of dice is slightly wrong. Most dice have their opposite sides adding up to 7, so when I drew 3 and 4 next to each other that is incorrect.
4. I said that the Gรถdel Incompleteness Theorems implied that mathematics is made up by humans, but that is wrong, just ignore that statement. I have learned more about it now, here is a good video explaining it: https://youtu.be/O4ndIDcDSGc
When something that seemed so confusing finally clicks in your brainโฆIโm still waiting for that day.
5. In the animation about imaginary numbers I drew the real axis as vertical and the imaginary axis as horizontal which is opposite to the conventional way it is done.
Thanks so much to my supporters on Patreon. I hope to make money from my videos one day, but Iโm not there yet! If you enjoy my videos and would like to help me make more this is the best way and I appreciate it very much. https://www.patreon.com/domainofscience
Thanks For The Great Video information
Here are links to some of the sources I used in this video.
Links:
Thanks for sharing this, learned a lot.
Summary of mathematics: https://en.wikipedia.org/wiki/Mathematics
Earliest human counting: http://mathtimeline.weebly.com/early-human-counting-tools.html
Ancient Babylonian mathematicians had algebra. They had the Pythagoras equation 1000 years before Pythagoras. We just couldn't read their writing until the 1950's
First use of zero: https://en.wikipedia.org/wiki/0#History http://www.livescience.com/27853-who-invented-zero.html
First use of negative numbers: https://www.quora.com/Who-is-the-inventor-of-negative-numbers
I'm a retard I can't do maths the only maths I can do is plus and takeways I have to use my fingers to do maths I sould of went to a special school
Renaissance science: https://en.wikipedia.org/wiki/History_of_science_in_the_Renaissance
History of complex numbers: http://rossroessler.tripod.com/ https://en.wikipedia.org/wiki/Mathematics
Niceโค
Proof that pi is irrational: https://www.quora.com/How-do-you-prove-that-pi-is-an-irrational-number
and https://en.wikipedia.org/wiki/Proof_that_%CF%80_is_irrational#Laczkovich.27s_proof
I think the journey of my mathematics will be filled with Fun and adventure ๐
More User Perspectives
iran
@MohammadB-t3mThanks a lot
@Khalda-n4y2026 goal get better at math โค
Pray all for me
Fantastic explanation, thank you!
@FaridaMuntari-b4fEssa aula nem fala minha lingua kkkkk
@MariaHelena-hi9zgGreat job, this video was very useful!
@GuyhgfcfRyugccfVery well done, appreciate this video!
@MMAEKPO-f2dThanks for sharing this, learned a lot.
@VictoriaGreen-v4iGreat video! Really enjoyed it.
@husnaauwal7343FFT
Fast Fourier Trasnform
SDE
Stochastic Diferential Equations
your "deep mystery" of mathematics will be solved when you come to know about the God of all creation. Maths points to God.
@sazci3548I'm getting back into maths - really enjoying some basic trigonometry problems at the moment - but I've dug out my copy of "Mathematics - From the Birth of Numbers" by Jan Gullberg and will be reading this next - like many commenters here, the history and development of our understanding of maths is fascinating to me, and I'm excited to expand my mind!
@jamesjelliman5252Great job, this video was very useful!
@SaneMie-hu4ioYou explained this so well, thank you!
@HiepTran-ep2rhBiological evolution is nonsense.
@thomasferry2950Fantastic explanation, thank you!
@KaylinForsythThank you for this video, very enlightening!
@LetSantos-w5gi want the moment the bloke described at the end. iโm gonna try and learn it again, now that iโm not in school being forced to ๐
@charliedredge2756This was exactly what I needed, thanks!
@senthamilselviSelvamThis video was amazing, learned a lot.
@LeviRJordanVery well done, appreciate this video!
@EllaCardon-w6vMap of AI plz
@GuitR23This thumbnail reminds me of The Simpsons
@djdynieldaniel1395Amazing content as always!
@nellyaptosgyattThanks for sharing this, learned a lot.
@KarinaMendoza-q7x1 is not a prime number. 2 is the first prime number and the only even one.
@SarbjitDhandia0:45 golden age of is lam?
persoa is not is lamic.
Cool Subject
@MontymolepremiumThank you for the great content!
@HansonHanson-y2zDecode. 6+7 = 13. 8 + 9 = 17 6 + 8 = 14 ... Oops stuck again
@AmyAmy-x7gThe way my brain perplexed itself and then came back to, because ๐คฏ. If they would've said this, I would've done a lot better at math! I did make it to a pre-calc class but failed with a C-
@poeaugustin2907You explained this so well, thank you!
@OpthshQhahtvoyjYou explained this so well, thank you!
@RufusObisanyaI need to relearn Math. I always hated it but I should give it another chance
@SylviaWashington-r9tI would buy your map as a poster for sure
@amaressa1924Really appreciate the insights in this video.
@RAULBOOOYCan you please let me know what are the software tools you use to create such a beautiful, vibrant video. Well I didn't get the mystery that you were explaining, when we solve all the problems by certain fundamental rules or axioms and how the axioms itself be inconsistent, do you mean they are not applicable in different situations of the universe. When you explained this universe is beautifully symmetrical, how can all the axioms be inconsistent. Can you make a video on this mystery of math of inconsistency of rules, made up by human.. By the way I dreaded maths as a child, always wanted to die, but now at 42 Iam relearning Maths of school level..it's interesting
@VidyaarambhAkshaya-NEETWhy do they connect why do numbers connect to space and space to numbers? We can use space to model numbers so measuring theory and then we can use numbers to solve space e if you know what I mean
@rj_5960