Group Theory | Binary Operation | Lecture 1 |Theta Classes

[@yashpokhriyal4777]

It was really good. I also learned a pt. that sometimes we need to bear with the concept even we are not able to understand, and at the last if we are trying the dots connects, and we finally understands.

[@lakshitaarora2729]

Thank you sir for explaining in a very easy and effective way

[@yahyakhanmallah8054]

Sir absolutely great lecture...

[@rimjhimparashar1862]

Keep making videos in this line of college mathematics.It's difficult to get in internet.

[@BeaLearner-k2u]

Sir your detailed explanation about the topic helps me alot thankyou♥️♥️

[@learnwithfaisal4147]

Thank you,sir! Our teacher taught us the same topic in 5 minutes whereas you took almost half hour but the main difference is that I understood alot here. From pakistan❤❤

[@thetaclasses]

I am happy to know that my efforts are in right direction

[@bluedragons5439]

good to know someone's studying in pakistan . best of luck for your future

[@Beingggg_0007]

Going to start this lecture series with you. May I hope it will help me to clear all my doubts about group theory. The lecture is superb sir. Thank you for sharing all your knowledge with us. I recommend your channel to few of my friends . Again thanks a lot for this lecture series sir. Keep going on. 🙌

[@thetaclasses]

That means a lot to me and yours words encouraged me... I hope that this lecture series will be helpful to you..If you find any doubt then do let me know

[@knowledgeisthepower9070]

Thank you sir for being the reason of helpful to us❤️

[@peaceqadam8576]

Wow !! How fantastic way of explanation. Thank you very much Sir.

[@mohanapadmapuppala2202]

😢😢😅😅

[@suvrotica]

Binary operation and closure are related but distinct concepts. Please don't confuse the two. Binary Operation: A binary operation is a function that combines two elements from a set to produce another element. The focus here is on the operation itself, like addition or multiplication. Closure: Closure is a property that a set has with respect to a binary operation. A set is said to have closure under a particular binary operation if performing that operation on any two elements of the set always produces an element that is also in the set. For example, the set of integers is closed under addition because the sum of any two integers is also an integer.

[@thetaclasses]

In closure if you see that on performing operation on any two elements of a set we get an element which belongs to a set and moreover if you see that element must be unique i.e. for given pair we are getting a unique image ...and it is a definition of a function also so closure property is same as binary operation.

[@vulturegurukul660]

Wow sir what a beautiful way of your teaching

[@bca_asvdatascience1620]

Lajwab teaching,Sir

[@Rohan-ww4cw]

Thank you so much for this video You have explained everything awesome way!!!

[@YadavKumar-gz2xo]

Thanks so much sir, aapke samjhane ka tarika bahut mst hai 🙏🙏

[@naazirsimair9735]

Sir , way of teaching is beet ,skills are amazing and simple good

[@Arpita_Fictional_World]

Thank you sir you explained very well 😊😊

[@tanishagupta2068]

pheli baar dstl boring nahi laga 👌

[@hotspot3653]

Wah sir maza aa gaya yeh lecture dekh karr

[@varunbhardwaj4101]

thanks sir mast samjh aya ab pura lecture dekhunga

[@sairajkadam6752]

Nice explanation sir Thanks 🙏

[@ruchipal9005]

Thankyou so much sir 🙏

[@AmanSharma-jl8lb]

Thank you 😊 sir

[@bharatdagale]

Very easy explain sir this topic

[@dilipaliya340]

Aapka video top me aana chahiye search karne par Thanks sir

[@Yadav469]

Bht mst sir tq❤

[@sharif_billa]

Explanation was great sir 🙏🏻

[@RamunSeera]

Camera man is really doing hard work 🙏

[@sankarshanharidasan6751]

Thanks sir. Very nice explanation.

[@harry-ho9ti]

Tq so much Sir for starting d most awaited lecture. Hope ur health is recovered and feeling well now.

[@thetaclasses]

Yes I am feeling better

[@harry-ho9ti]

@@thetaclasses with this fundamental lectures pls upload the lectures of group theory as I shared the syllabus into ur mail sir.

[@thetaclasses]

I will cover all topics which comes under group theory

[@PMA2023]

Thank you sir for this lecture..🦜🌹

[@Mission429]

sir please explain question

[@goverdhansingh4394]

Waooo what a explain good 😊😊🤗 sir ❤

[@RahulSharma-xs7ib]

Excellent

[@IsaAbuhuseina]

Nice Explanation! Thank You :)

[@vishalpatil1884]

very helpfull lecture sir... thanks a lot....

[@divijmahajan1495]

very nice sir

[@amarpreetkaur6261]

Best lecture

[@ShubhamSoni-gm9pn]

Homomophism and isomorphism, kindly teach these topics

[@thetaclasses]

Yes sure I will

[@Nikhil.Jha19]

Explanation was great sir

[@shilpabai2336]

Super explanation sir tq sir

[@Nikhil.Jha19]

Thanku so much sir

[@rgvlogs7150]

Sir do you upload 2nd year Bsc Maths videos....if not...then please upload those, many of my colleagues are in need for your such helpful and outstanding lectures

[@thetaclasses]

I had not uploaded yet but I will start Bsc 2nd year topics soon

[@rgvlogs7150]

@@thetaclassesThank You Soo Much Sir😊

[@labaniislam7495]

Outstanding sir, continue casses

[@gulmohar4724]

Thank you

[@rockgamer4101]

Sir I am in bsc 1st year (1st semister) Syllabus is differential calculus and matrices algebra In algebra we have topic group Sir kya group theory wahi topic hai so algebra me hai Please reply sir Mai ye playlist Karu ki nahi Please please reply sir

[@abhijeet4156]

Konse college??

[@pradhumnbhalia6178]

Very easy explanation Nice

[@SushilaTiria]

Sir Ring theory, field theory, vector space topic me vdo banaye

[@thetaclasses]

Okay just give me some time

[@nothingisimpossible.1357]

Sir binary options and closure property me kya difference h plz btaye

[@thetaclasses]

There is no difference in them

[@nothingisimpossible.1357]

@@thetaclasses fr closure property ka yeah definition kyu nhi Diya ab tk kisi ne agr dono same h to

[@doubtgetout]

Apky pass konsa marker hai ? Iska naam share kar dein

[@thetaclasses]

doms

[@The_mentor777]

kzbin.info/www/bejne/Z561ZGyVa7mir9k

[@alexprogamar1785]

Thank you sir 😚😚

[@dajungmitlepcha689]

Thank you sir 👍

[@uttamrajpandey0533]

Sir app kamaal ho

[@movie_Talks.]

Thanks sir

[@sunitamandal3275]

Sir please help me out I don't know what publication of this book I buy

[@thetaclasses]

Just go through a book which is followed by your university and then refer Joseph A Gallian

[@ayesharanijahangeerkhan210]

Thanku sir

[@nishantchauhan5265]

I am confusing with multiplication and uniqueness sir. If we multiply 2 and 1 then 2*1=2 which is not unique. Then how can we say that multiplication is binary operator. Please reply sir.

[@thetaclasses]

When you will multiply 2 and 1 it will give only 2 you will not get any other number with respect to 2 and 1

[@nishantchauhan5265]

So sir 2 is not unique from 2 and 1. Therefore multiplication is not binary operator ?

[@thetaclasses]

basically 1 is an identity element under the operation multiplication so if you multiply any number with 1 you will get that number only

[@nishantchauhan5265]

@@thetaclasses oh then for identity uniqueness isn't a role and for others it is. Got it thank you for clearing the doubt sir.

[@thetaclasses]

uniqueness plays a role in every case but i am saying that for given ordered pair you get mapped to element which no other ordered pair will map

[@priyamaurya623]

Thanku sir 🙏

[@memebytabish]

Sir Group ki definition ,groupoid, monoid ye bhi explain karain start mein

[@thetaclasses]

I had already explained...do check a playlist on group theory

[@Abhinavjain2004]

sir yeh lectures DU ke syllabus ko cover krta h???

[@thetaclasses]

I am not following any specific syllabus my goal is to cover each and every concept of group theory

[@saintmurda]

yea

[@arindrakhadka9712]

(-2×1) and (2×-1) = -2 which is not unique on Z. Then how can × be binary operation on Z.

[@thetaclasses]

if you see (-2,1) and (2,-1) are two different ordered pair so under multiplication they can give same image...so it is unique as specific ordered pair is giving only one image and that is unique in the sense that it will not going to given any other image

[@vikaspandey565]

Sir yeh bsc 3 year ke liye hai n ?

[@thetaclasses]

I am teaching in such a way that it is useful for both undergraduate as well as post graduate

[@RaviKumar-qg9tm]

Sir ye bsc 2nd year ke liye BHI h.

[@thetaclasses]

yes I am trying to cover group theory in such a way that it will be helpful for all

[@mdaminulsk7226]

Sir yaha par uniqueness matlab kiya hai yeh samajh nhi araha hai

[@thetaclasses]

It means that each ordered pair will get only one element assigned to it.

[@MyLaddugopalseva]

Sir sybsc North Maharashtra University ke syllabus pr banao...plzz 🙏

[@thetaclasses]

I will cover each and every topic

[@Av954-c9p]

Sir ring theory padha do IGNOU BSCG exam hai 17 June se please 🥺🥺🙏🙏🙏🙏

[@thetaclasses]

In such a short duration it will be difficult but if possible I will surely make lecture on ring

[@aishwaryajoshi_offical]

👌👌👌

[@learnwithfaisal4147]

Does a binary operation differ from set to set or sign to sign. Like subtraction is a binary operation on set of real numbers or on set of integers whereas subtraction is not a binary operation on set of natural numbers.

[@thetaclasses]

Binary operation holds a property named closure property which depends on set as well as operation both

[@JabeenNimra]

Aoa sir real no kon se hotay or rational or irrational bta dn kindly

[@thetaclasses]

Okay I will take detailed lecture on number theory

[@JabeenNimra]

@@thetaclasses sir thank you so much

[@naazirsimair9735]

Best

[@souldileepgaming4731]

❤❤❤

[@Sushama-dc5uh]

🥰

[@sabihanwar3668]

Sir aap train Mai h

[@abhijitchavan8580]

♥️♥️

[@Kidsplaying4301]

🖤

[@Carfixeverything]

sir 1*6=6 it is Binary Operation. it is true OR false.

[@thetaclasses]

for binary operation you have to check the set first from where elements are coming

[@Carfixeverything]

@@thetaclasses and the elements is {1,2,3,4,5,6.......} then 1×6 is

[@thetaclasses]

Since the set you have considered is of natural number and product of two natural number is always a natural number ...so yes It will be a binary operation

[@Carfixeverything]

@@thetaclasses ok sir thank you 😊

[@NadeemKahloon-pp6ub]

Last sa reapt kra

[@sakshibkbiet8606]

Sir provide PDF

[@thetaclasses]

I don't have pdf but I will made u available in near future

[@anitasachdeva182]

Sir how to contact you?

[@thetaclasses]

[e-mail]

[@pv6et]

Ek hi chij ko bar bar bataya hai

[@EcheEmmanuelSylvester]

speak in English, everybody is not Indian

[@techfys7777]

I didnt like your teaching. My subjective opinion

[@rockgamer4101]

Sir I am in bsc 1st year (1st semister) Syllabus is differential calculus and matrices algebra In algebra we have topic group Sir kya group theory wahi topic hai so algebra me hai Please reply sir Mai ye playlist Karu ki nahi Please please reply sir

[@thetaclasses]

yes it will be abstract algebra but i will suggest you that first check the detailed syllabus of your university

[@rockgamer4101]

@@thetaclasses ok thank u so much sir😇😇

[@gulmohar4724]

Thank you so much sir

[@anjudevi6673]

Thanku sir 🙏🙏🙏🙏

[@chandbhatti9577]

Thanks sir

[@shashikantsingh3504]

Thanks sir😊👍

[@Mission429]

sir please explain question

[@chandrakantsalunkhe7551]

Thanks sir

[@Mission429]

sir please explain question

[@rizwanafirdose6418]

Thank you sir

[@singhaadivashi9802]

Thanks sir ji

[@truptiranjan8803]

Thank you sir

[@khadim166]

Thank you sir