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Ай бұрын
2 ай бұрын
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@anupamaakash3238 Күн бұрын
hello sir, i am a first year medical student .. I always love to study maths.. now i want to restart my math curiousity but i only studied math till 10th. and know a few topics of +2 maths(can be neglected)..I love to watch your videos despite the fact that I learn very little from your videos.. Can you help me with where i should start the maths to study your lectures...(please neglect the mistakes in the comment)
@mudabbirahmad2141 18 сағат бұрын
Start with the Kickstart playlist and Number theory playlist on this channel. Since, you mentioned you know 10+2 maths a little bit, if you are familiar with a little bit calculus, you can start with real analysis playlist. To compensate for your 10+2 maths, the owner of this channel has a secondary channel called, "Prameya Vismaya", you can sometimes watch those videos. Mind you, you're a medical student so you'll be getting very busy pretty soon, so do it in your spare time and best of luck on your mathematical endeavour!
@kiit8337 2 күн бұрын
group of unit quaternions, SU(2), and the representation of rotations in SO(3) by unit quaternions ,,,bruh where can I get this topic to read ?
@the_hidden_library Күн бұрын
I tried to google but could not find a good resource. Sorry :(
@AYUSHNANDAN-bn9jz 4 күн бұрын
🤩
@AYUSHNANDAN-bn9jz 4 күн бұрын
sir can i use this playlist for jee theory portion
@prameya_vismaya 4 күн бұрын
Yes. But the upcoming playlist on the Hindi channel will be more comprehensive and advanced.
@Expirationnear 7 күн бұрын
Can you make for olympiad or isi CMI level
@prameya_vismaya 7 күн бұрын
This playlist is already for Olympiads.
@Expirationnear 7 күн бұрын
@prameya_vismaya i know, the part of calculus for isi and cmi
@the_hidden_library 6 күн бұрын
@@Expirationnear I would be making videos on High School level calculus on my Hindi channel. Those videos would be suitable for both JEE and for ISI/CMI.
@kartikeypandey2364 7 күн бұрын
What is the source of these problems? Are your videos relevant for INMO?? Btw Your videos are great 👌👌
@prameya_vismaya 7 күн бұрын
This playlist features relatively easy Combinatorial problems and I wouldn't say it is suitable for INMO. My number theory course is suitable for INMO. I plan to deliver a proper course on Olympiad style combinatorics in the future.
@Expirationnear 7 күн бұрын
Can you please solve and explain the INMO 2019 problem 4
@prameya_vismaya 7 күн бұрын
Have you looked at the official solutions?
@Expirationnear 7 күн бұрын
@prameya_vismaya yes but I'm not getting it, And is there any other way to solve it
@Re-nq2uh 7 күн бұрын
Thanks again! I have a question: in the first question of the exercise problems, do we mean by this addition a direct sum?
@prameya_vismaya 7 күн бұрын
No. It's just the sum of the the subspaces ker(T) and span(v). Any two subspaces of a vector space can be added: If U and W are subspaces of V, then U+W = {u + w: u in U, w in W}.
@Re-nq2uh 7 күн бұрын
@@prameya_vismaya Okay thank you. I have a question: I am taking Linear Algebra and Analysis 1 at Uni and I haven't been understanding much. But After I have seen your videos I am starting to understand the concepts in LA much better. I would like to improve my understanding of the topics of Analysis as well. I have checked your channel and I see you don't handle them. Do you have any recommendations for resources to study Analysis 1? Thank you!
@prameya_vismaya 7 күн бұрын
@@Re-nq2uh Can you tell me the details of the topics that are covered in Analysis 1?
@Re-nq2uh 7 күн бұрын
These are the topics we've handled so far: Relations and functions, natural, integer, rational, real and complex numbers, countability Sequences and series: first properties of sequences, special properties of sequences in C and R, Accumulation points, Cauchy sequences, Unbounded sequences, Series, Power series Continuity: first properties of continuous functions, continuous functions on compact sets, fundamental theorem of algebra, sequences of functions and continuity, continuous extension and limits Exponential functions and trigonometric functions
@prameya_vismaya 7 күн бұрын
@@Re-nq2uh Except for the Fundamental Theorem of Algebra, I have pretty much covered everything you mentioned in my 'Kickstart' playlist and 'Real Analysis' playlist.
@Re-nq2uh 8 күн бұрын
hello! thanks for the video. could you please tell me where can i find the solutions to the problems?
@the_hidden_library 8 күн бұрын
Hi. I do not have the solutions to the question. You can ask for help here or (preferably) on the Telegram group.
@Re-nq2uh 8 күн бұрын
@@the_hidden_library Okay thanks very much! I have a question: at 11:00 you mentioned that this linear combination is an element of U. I didn't really get why this is the case
@prameya_vismaya 8 күн бұрын
@@Re-nq2uh That comes from the definition of the quotient space. If bar{v} = bar{0} then v is in U and vice versa. Does that help?
@Re-nq2uh 8 күн бұрын
Hmm maybe I have a misunderstanding. Cause I thought that if bar v = bar 0 this would mean that T(v) = T(0) which is zero. Hence v is an element of the kernel of T. I don't know where exactly is the mistake in my reasoning 😅 I'd be grateful if you could point it out
@prameya_vismaya 8 күн бұрын
@@Re-nq2uh The equation bar v = bar 0 has nothing to do with T. Just look at the definition of the quotient space V/U. It's elements are bar v, where v is any vector in V. What is the definition of bar v? It is the set {v + u: u in U}. So if bar v = bar 0, then {v + u: u in U} = {u: u in U}. From here you immediately get that v in U.
@Ayush-k3z7u 10 күн бұрын
tq bhaiya
@Rishav_Negi123 11 күн бұрын
X="Aaa I don't know "
@prameya_vismaya 11 күн бұрын
I am confused.
@7Strigiformes 11 күн бұрын
Can this series C_n converge conditionally?
@prameya_vismaya 11 күн бұрын
Under the hypothesis it converges absolutely, but there could be a weaker hypothesis under which it might converge only conditionally. But I don't know of such a result.
@HritwickParasharIITHyderabad 11 күн бұрын
Which app do you use for making these type of notes sir .
@prameya_vismaya 11 күн бұрын
Notability on iPad.
@Amantheparadise 13 күн бұрын
Beautiful
@Amantheparadise 16 күн бұрын
Bhaiya,jo an intresting identification hai wo smaghne me bahut time aur energy lagi ,aisa kyun hai kya wo tough hai aapke hisab se for an undergraduate ?
@the_hidden_library 15 күн бұрын
Hard nahi hai. Par agar pehli baar dekha hai to hard lag sakta hai.
@Amantheparadise 16 күн бұрын
What is set ,, ''i do not know ''
@higherle-bi2yi 17 күн бұрын
Great ❤
@SathvikGAcharya 17 күн бұрын
We have Linear Algebra in the next sem. Thanks for the playlist :)
@SathvikGAcharya 17 күн бұрын
Namaste ZCM. I find your vidoes really helpful and wrt the JEE part, I was amazed by the teaching style. I usually prefer MT sir but I clearly like your style as well. I am currently pursuing BTech in Mathematics and Computing in NIT Jalandhar. We have a more deep diving curriculum into Mathematics alongside CS. For instance, we had Real and Complex Analysis in the first semester which included Metric Spaces. So I found it hard looking for the right informative videos until I stumbled upon your vidoes by chance. Believe me, your videos are truly a goldmine. I loved your approach of teaching the first part of Real Analysis along with the Riemann Integrals. So I wanted to request you to please make videos on few of the higher mathematical topics and aspects. I know it is too much to ask but it will help me and my batchmates a lot. I will be sure to share your channel to all the JEE and Maths aspirants in my contact. Thanks a lot @zacaffeinemachine once again.
@siddharth-wy2kp 18 күн бұрын
Ag sir k sath wala interview dekhke a rahahu, good work.
@tejatej378 18 күн бұрын
Bro, which software you are using to make notes?
@the_hidden_library 18 күн бұрын
Notability on iPad.
@aryansrivastava1348 19 күн бұрын
DEAR SIR YOU SHOULD HV USED "IFF" INSTEAD OF "IF" at 1:50 to make the definition of BIJECTIVE FUNCTION 100% ACCURATELY CORRECT Nevertheless , thanks for the beautiful lecture as always
@aryansrivastava1348 20 күн бұрын
At 3:15 , it should be double implication instead of single implication as if fx1=fx2 is false , then complete statement can be made true by considering x1=x2 as true , which will imply one to many relation , contradicting the fact that f was a function
@the_hidden_library 19 күн бұрын
We have already assumed (as written in the line on top) that f is function. So the definition of injectivity as written is without errors. One can replace the implication symbol with the double implication symbol, without changing the content.
@aryansrivastava1348 19 күн бұрын
@the_hidden_library yes sir , that's what I meant to say, thanks for the reply
@the_hidden_library 20 күн бұрын
Note: In the discussion from 18:50 to 28:00, I should have emphasized that the orientation induced on the hyperplane H is dependent on the vector v and not just on the orientation of the vector space V.
@aryansrivastava1348 21 күн бұрын
😂😂 LOVE YOUR PASSION FOR TEACHING MATHS WHILE TRYING TO MAKE US UNDERSTAND ITS VAST DEPTH
@Anuj-qd2ms 22 күн бұрын
new group theory course lesgoo.
@ragsbigfella 24 күн бұрын
Hats off to your commitment
@pauloferraz3042 24 күн бұрын
Probably one of the most beautiful problems I have ever seen
@faisaliqbal4669 26 күн бұрын
Would u teach. Galois theory and i have a doubt what is n dimensions in mathematics could u explain to me as like a child's play
@the_hidden_library 25 күн бұрын
Galois theory would be far in the future. To explain the notion of n-dimensions I would need to use the language of linear algebra.
@faisaliqbal4669 25 күн бұрын
@the_hidden_library plzz explain the n dimensions spherical packing problem for which 2022 field medal was awarded to Ukrainian mathematician
@faisaliqbal4669 25 күн бұрын
@the_hidden_library since human cannot imagine and seee beyond 3 dimensions how can we have n dimensions and how riemann tensor explain n dimensions
@the_hidden_library 25 күн бұрын
@@faisaliqbal4669 I haven't the literature on this problem. It is very advanced mathematics.
@the_hidden_library 25 күн бұрын
@@faisaliqbal4669 We cannot visualize n-dimensional space but we can still formally work with them. We borrow intuition from 3D space. As for the Riemannian metric, you would need to learn a lot of math before you can understand what that means.
@faisaliqbal4669 26 күн бұрын
Would u teach. Galois theory and i have a doubt what is n dimensions in mathematics could u explain to me as like a child's play
@AYUSHNANDAN-bn9jz 26 күн бұрын
sir your'e doing an amazing work fr
@saptarsisanyal4359 26 күн бұрын
I want to say a lot but in short all i can say is thank you for such a lovely playlist.
@prameya_vismaya 26 күн бұрын
Thank you for the lovely comment. I plan to improve on these videos in the future. But I hope they, as they are, help the viewers learn the subject well.
@saptarsisanyal4359 26 күн бұрын
@prameya_vismaya yes it's helping a lot. Even though I am from cse background I think what is missing is pure deep maths and the capability of proof writing. This is a lot more helpful.
@AnantSingh-w3k 27 күн бұрын
thanks sir
@Amantheparadise 29 күн бұрын
Helpful
@altra7743 Ай бұрын
Is numbers theory essential for group theory?
@prameya_vismaya Ай бұрын
Not exactly essential. But it would sure help a lot in motivating many definitions. Also, if you want to follow my course in group theory then I assume you know some number theory.
@MB28-t7p Ай бұрын
what is latex ? idk bcz i am in just class12th
@prameya_vismaya Ай бұрын
It's a language used to write math digitally. Also, if you speak Hindi then you can learn Sets from my Hindi channel (the one I am commenting from). They are slightly better than these. I would replace these with upgraded version soon.
@MB28-t7p Ай бұрын
@@prameya_vismaya are you dr. abhishek (the mathematician)
@prameya_vismaya Ай бұрын
@@MB28-t7p Yes.
@Amantheparadise Ай бұрын
Is that ok to say sequence is a function,,,jabki ham jante hai ki sequence function ke range jaisa kuch hai?
@the_hidden_library Ай бұрын
As explained from 6:11 onward, a sequence in a set X is a function from N to X. Also, it would be incorrect to think of a sequence as the range of a function because then one loses the order in which the elements occur.
@ramu3938 Ай бұрын
Why dont you start with with say two symbols e and a which satisfies group axioms you get Z2.If you get three elemnts e,a and b we get Z3.If you get e,a,b and c we get two possibility Z4 and V4 and so on.
@the_hidden_library Ай бұрын
You mean build groups abstractly? I would prefer explaining the abstract definition via "naturally occurring" examples.
@ramu3938 Ай бұрын
I guess you should have explained raising a group element first to positive integers and then to 0 and negative powers before going to examples
@the_hidden_library Ай бұрын
Can you say why you suggest that? Were some examples not so clear?
@Sharma3035 Ай бұрын
Hello bhaiya Can you please lonk your hindi channel too? Awesome lectures 🥰
@prameya_vismaya Ай бұрын
This comment is from my Hindi channel.
@Sharma3035 Ай бұрын
@prameya_vismaya thank you bhaiya
@Rishav_Negi123 Ай бұрын
Library is just too hidden took 3 tries to find 😅
@the_hidden_library Ай бұрын
Share it and make it not so hidden!
@Mathematics-xW5s Ай бұрын
Do you have any plans for olympiad geometry? As you already completed NT, Combinatorics?
@the_hidden_library Ай бұрын
Well I currently have number theory but not really combinatorics. The combinatorics playlist is a (small) collection of puzzles. I would like to thread them, and many more, in a proper (advanced) course for Olympiads at some point. As of now I do not have any plans for Olympiad geometry.
@swayamshah6891 Ай бұрын
hey man! any plans of doing complex analysis?
@the_hidden_library Ай бұрын
I would be starting it after finishing groups, general topology, and multivariate calculus.
@MayankXOR Ай бұрын
So every ring is a group, and every field is a ring?
@the_hidden_library Ай бұрын
If you have a ring then it has two binary operations on it---addition and multiplication. If you only retain the addition then what you would get is a (abelian) group. It is true that every Field is a ring.
@Anonymous00000-r Ай бұрын
22:22 how -4(mod 3) =2....please explain this sir
@prameya_vismaya Ай бұрын
We say a = b mod(3) if and only if 3 divides a - b. To see if -4 = 1 mod(3), check if 3 divides -4 - 2 (which it does).
@ramu3938 Ай бұрын
Can you suggest a book to do Problems alongside your group theory course?
@the_hidden_library Ай бұрын
You can use Herstein or Artin. Also, I would be giving problems in the beginning of (almost) every lecture.
@MayankXOR Ай бұрын
Thanks for fixing the title:)
@the_hidden_library Ай бұрын
Thanks goes to you!