Hmm it was a nice video. How old are you now?

Thanks so much for your nice reply. My age is not too far from 15:)

Having Richard P. Stanley in the references, have you checked out his Ennumerative Combinatorics? There's of course also, Douglas B. West's Combinatorial Mathematics (2019) ... These kinds of videos go some way into shining light on the path to discovery of any new idea with parameters.Thank you for this whole channel.

@@eddyrand6952 I really haven't heard of these books, but I will check them out! Thanks for the appreciation!

@@mathemaniac my guess was closer to 24 O.o

Thanks for the comment! I feel that "hard" is in the eye of the beholder though, and maybe this will change when you learn more in mathematics!

Analytic number theory, real analysis, Topology, knot theory, lie algebra and many more: Am I a joke to you?

@@jessehng1896 he was 13 bruh , he only knows stuff like elementary number theory,elementary combinatorics and maybe calculus to the level of single variable integrals what more do u expect ... :)

Awesome that you like math at a young age! Good luck on your math journey!

Aww thank you so much!

Yes, I also felt the same. Lets get it up

Glad you enjoyed the video!

Thank you so much!

Glad to know that!

This is not a small feat! Hope you keep that up!

@@mathemaniac Really, glad that you payed attention! I love pure math a lot! I really will and want to keep this up! And I am fortunate that I got to know about Math Olympiad!

Glad that you enjoyed it!

Congratulations! Are admissions that early?

@@mathemaniac In my country admissions are generally around June, this year it got postponed due to the pandemic.

Oh I see. Good luck with your studies!

Which college did u get admitted to?

@@dewdrop198 Was in Sri Venkateswara, DU. Currently doing a PhD from NISER

can you tell what you have got

I am quite some years older than 15 now, and zeta(2) has also already been discussed in other channels already, so it is already "spoiled" for me :)

@@mathemaniac very clever

Thanks for the word of encouragement! I have definitely been too hard to myself back then, but when I looked back, it is quite an achievement! The reason I have to self-deprecate a bit is just to make the video more interesting, though.

Haha :)

i whish i had like our math teacher who suggest me like this

What is the formula

@@rafiihsanalfathin9479 Can't tell them Hope you will understand but sir can you plz help me that what are the basic things should be there in a formula to be called as a pure mathematical formula

@@rafiihsanalfathin9479 Sir honestly speaking I have many new and effective formulas which are correct and want to publish them or show to a mathematician like ramanujan ji did he sent his letter to Hardy. Should I do the same sir?

then going indirect as possible could deliver the right path. it is the route with the longest travel duration but with the shortest distance (a) the correct distance, wich is also the longest distance (b). depending on your navigation skills and manouvreability. 1.do you know where you are at any given point ? 2.do you know where you came from ? 3.do you know where you need to be ? 4.do you know you start time ? 5.do you know total travel time upfront ? 6.do you got countless trials ? like in how many trials do you must be correct. given it unlimted time and vectors. you will reach there merely by chance. even skipping a few wrong ways. i thought. in points coordinates i am on point a i want to go to point b there is a chance to get obstacles then i draw a straight line from a to b. then put an imagination point c there. so the route forms a triangle. then i dont go to point b. i go to 45 degrees or 90 degrees. under point b and then straight from point c to point b if there are more routes. it works for scouting. in a maze it was. always take a left turn or so. but your solution is way cool.

Might do it in the future, but not now :)

I plead the fifth :)

@@mathemaniac You are Gen-Z

I highly doubt you can learn quantum mechanics before calculus... so do learn calculus first. Depending on your local maths curriculum, you are probably learning calculus at school anyway. I actually didn't *learn* new maths in high school to be honest, but I spent a lot more time trying to solve mathematical problems (not in textbooks), which honed my problem-solving skills and writing skills A LOT. I don't like solving problems in the traditional way either, so I always think of a better, more beautiful way to solve those problems.

@@mathemaniac u r very correct but I'm not learning calc at school,.... I'm in sophomore, maybe ur wondering how but u can understand😉(I'm not over aged, oppositely, I'm an year early) Yes I also really don't like the way they solve probs according to a so called "syllabus" But I'm also a freethinker like u.... I'm very happy to see that. So where should I work on? I'm fully ready, to start at ur advice, while I have already started calc, and higher algebra and (here in India, the level of difficulty is of college level in high school) so here, I'm studying maths and physics particularly, cuz I'm more passionate about physics, and also maths of course, they r almost the 2 sides of a coin. (Waiting fr some advice) I'm also aiming for olympiads, cuz they require deep understanding (and also help getting into a good college lol) A side note, here in India, children r forced to get into engineering, or med. Mostly it's engineering and the best colleges are the IITs, here, the college selection just needs a good rank in an entrance exam(..... That's why it's annoying, but at the same time, the JEE advanced has good questions, so I'll try it) But my goal in life is rather to explore this universe, which technically can't be done in India uk why So now, I'm aiming for US colleges, most passionate indians do that. So now dat u understand my situation, pls give some advice.... In increasing my level, wut u did

That's what I said - I really stopped learning *new maths* as in that I pretty much don't read university level maths in high school, and actually I learnt quite a lot just from solving problems. Olympiad might be something good to try, and it does expose you to a lot of new problems and theorems you wouldn't have seen in school. Calculus really is a must. You will not get anywhere without it, so learn it now, and learn it well. If you really want something more, I really like group theory, but even if it is a more pure mathematical subject, it has profound applications in theoretical physics as well. So you can start on that. If you want to check out my video series on group theory, you could, but there are also other good resources of group theory out there :)

@@mathemaniac thank you sir

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