Group Theory | Semi-Group , Monoid | Abelian Group | Discrete Mathematics

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This video lecture of Group Theory | Semi-Group , Monoid | Abelian Group | Discrete Mathematics | Examples & Solution By Definition | Problems & Concepts by GP Sir will help Engineering and Basic Science students to understand following topic of Mathematics:
1. What is Group Theory ?
2. Definition of Semi-Group & Monoids with Example
3. Definition Of Group and Abelian Group With Example
4. Properties Of Group With Example.
5. This is Part Of Discrete Mathematics
#GroupTheory #DiscreteMathematics #SemiGroup #AbstractAlgebra #AbelianGroup
#EngineeringMahemaics #BSCMaths #GATE #IITJAM #CSIRNET
This Concept is very important in Engineering & Basic Science Students. This video is very useful for B.Sc./B.Tech & M.Sc./M.Tech. students also preparing NET, GATE and IIT-JAM Aspirants.
Find Online Solutions OfGroup Theory | Semi-Group | Monoid | Abelian Group | Abstract Algebra | Problems & Concepts by GP Sir (Gajendra Purohit)
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Time Stamp
0:00​ An intro
0:17​ Topic Introduction
1:54 Groupoid Definition & Examples
5:08 Semigroup Definition & Examples
7:53 Monoid Definition & Examples
12:46 Group Definition & Examples
18:18 Conclusion Of Video
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Dr.Gajendra Purohit

[@gajendrapurohit]

Thanks for your comment, your appreciation always motivate us to do such kind work. Join Telegram Channel : t.me/mathsbygpsir Instagram Handle : instagram.com/dr.gajendrapurohit/ Facebook Page : facebook.com/Dr-Gajendra-Purohit-453775988491992/ Unacademy : unacademy.com/@Dr-GajendraPurohit Link to B.Sc. Maths Playlist : bit.ly/34tTTdc Link to Engineering Maths Playlist : bit.ly/2OQ7Uvd Link to IIT-JAM Maths Playlist : bit.ly/2sh9pei Link to GATE (Engg.) Maths Playlist : bit.ly/35EAPct Link to IAS Optional Maths Playlist : bit.ly/2rwkOqj Link to CSIR NET Maths Playlist : bit.ly/2R8sUjV Link to Aptitude Playlist : bit.ly/3ewDR7z Link to Mathematical Physics Playlist : bit.ly/2NvRHLJ Link to Abstract Algebra Playlist : bit.ly/2A70LUb Link to General Aptitude For CSIR NET : bit.ly/2ZeWpma Follwing Topics are also Available 1. Differential Calculus : bit.ly/2OTYXB0 2. Integral Calculus : bit.ly/34rLA1R 3. Differential Equation : bit.ly/37IOlO1 4. Partial Differential Equation : bit.ly/2OM5iyA 5. Complex Analysis : bit.ly/2OP8hGp 6. Numerical Analysis : bit.ly/2QYVQuy 7. Integral Transform (Laplace, Fourier & Z-Transform) : bit.ly/37HRKg9 8. Statistics & Probability : bit.ly/2DmOt7Z 9. Operation Research : bit.ly/2pYYRjp 10. Matrices (Linear Algebra) : bit.ly/2OOBSzO 11. Fourier Series : bit.ly/34u7iC9 12. Vector Calculus : bit.ly/2qICwXO 13. Theory Of Equation : bit.ly/2XU9y33 14. Special Function & Series Solution : bit.ly/2XRSU4l 15. Infinite Series : bit.ly/37K6gUI 16. Group Theory : bit.ly/3ieUze2 Please share it with your Friends Thanks Dr.Gajendra Purohit

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Thanks for making algebra easy

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Thanks sir

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Thank you so much sir!! It is so helpful. You are amazing in clearing the concepts...🙂👌

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Good teaching method Sir

[@pratikghatage9158]

Thank you so much Sir

[@jeet7000]

Bohot bohot Dhanyawad sir...aap ek hi ho jo hm jaiso k lie sochte wrna koi v in syllabus par aisa content nhi deta...

[@platosplaybook11]

In my college Group theory was thought in way that I felt it was something different from math and I skipped many group theory classes because of lack of interest in groups concept. But I feel this concept is interesting and I'm going to get some books from my library on Group theory. Thank you sir your video was really good even at x 1.75 speed

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Right

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You will understand the power if you do research in physics.. I am not doing but I saw in my university PhD presentation most of them use su(3) so(3) other things very much

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Ji ha Me too

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Same here in my college

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Right 👍

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The real analyser of students need in modern algebra. Thank u very much sir

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sir, you are gonna be my life saver for the next 4 yrs. thank you so much for your efforts.

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Hello

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Hi

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Hy

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श्रीमान जी आपको बहुत बहुत धन्यवाद जो आपने इतने आसान तरीके एवं बड़े ही प्यार से हम लोगो को समझाया, मैंने वीडियो को लाइक किया अपने मित्र को शेयर किया! कृपया इस टॉपिक ( रिंग और फील्ड) और वीडियो आपलोड कीजिये! धन्यवाद 🙏🏾🙏🏾🙏🏾🙏🏾

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Thank bhai

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Ha

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KYA COMMENT KIYA H BHAI

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I like your comments

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प्यार नही प्रेम 🙏🏼

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Sir we can clearly see the hardwork that you are putting in each of your videos...Thank you so much for helping us!!

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Sir you don’t deserve even a single dislike . Because of you only I’m getting confidence . I have my exam next month . Thank you Sir 🙏🏻🙏🏻 .

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you are just life saver for lots of learner Sir

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This type of content is rare on KZbin. Thankyou for delivering rare and quality content !!!!

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Sir muje phle ye chapter hard lagta tha lekin ab mera ye fav. Chapter ban gya .....thanks a lot..❤

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Hlo bhai abstract algebra ka sara solution kha milega

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Konsa book follow karte ho ?

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Sir i can't express my feelings for you but i can say i love you more than my mathmatics teachers May Allah protect you and your family

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Dallah kon h

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​@@ShyamSingh-sd1ok 😂😂

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There is not a single Hate comment, What a respectable man, Salute you sir,🤘😃🙂💙

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If someone is hating a teacher who's propagating education, it's better that person should return to the Stone Age....

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@@anupam1095 🤣🤣

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Bahenchode kya mast padhaya hain ❤❤

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I have understood this almost whole video. You are an amazing Sir. I am blessed to come across this video. Wish I had you as my professor during my studies. Wish you a successful life, Sir. Thanks a lot

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Really

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Pura KZbin mein aisa explanation nehi hai...best technique and to the point explanation.. compact as well as total concept. I'm going to watch whole playlist .. and I'm sure I'll master it ... thank you so much GP SIR...WE ALL LOVE YOU. 🙋🙋🙋🙌

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i am from pakistan sir.i am a big fane of you as a student of math. i have watched most of the vedios of all math subjects .all vedios all obsolutely fantastic keep it up sir.....Great Job

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Welcome brother

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such a helpful content, could't have been more easy to understand. perfect notes and explained with proper relevant examples. thank you sir for making this so simple to keep in mind.

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Hello simran... Advance maths ke liye online course available h. U can contact

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Sir belong to G lekha g kia ha

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Right

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​@@saadqureshi3090G is the set on which we are applying binary operation

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Thanku for delivering rare & quality education without any fee💯👏👏

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Excellent teaching Sir..plz continue with more of the important topics and questions related to IAS maths optional with this module!

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👍👍

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Yeah 👍

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Will these lectures suffice for maths optional ? Would they atleast cover some portion of the syllabus or is it just plain theory? Am looking for some online course to cover modern algebra.

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@@saurabhshinde3540 check exademy channel

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wah Sir maza aa gaya...kal exam hai aur aapne itna acha padhaya ki paaka kal fail toh nahi houga

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My hmesha apni problem ko sb se phly ap k channel pr chk krti hj sir... Q k mjhy pta hy mjhy apse sol mil jy ga or itni clear explaination hy apki... I just love ur videos..

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Thanks 🙏 sir your lecture is very helpful for all students even I'm also teacher but I will teach my student same as your trick and your unique style thanks 🙏 sir

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Thank you so much for having a teacher like you in this platform where it's difficult to find out such types of easier way of teaching skill with proper explanation. Salute to you🙏🙏🙏🙏 Sir...... A huge respect 🙏🙏🙏🙏

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please accept my humble obeisance sir i m feeling confident after hearing your lecture everything seems so easy ...please continue these kind of playlist it is helpful for student like me ..who are perusing their graduation from ignou....ty so much sir

[@himanshubarnwal7811]

Thank you very much sir 4 saal btech ke ho gaye aur 1 saal job group theory itna achcha koi nahi samjhaya.....

[@kailashdas4263]

Bahut hi sundar sir Bahut achha se samajh aya ki group kya hai Nhi to kewal boring lagta tha Lekin aapne itna badhiya padhaye ki intresting jag gya hai Thank you sir

[@wasimmondal3860]

Most simplified explanation available on the internet.Thank you very much.When my professors taught me group theory I felt it's not mathematics and it was boring,So skipped a lot of classes but your teaching is very interesting and informative.Thank you again❤ ❤ Keep the good work

[@ritu6389]

Thank you so much sir. Please continue group theory onwards..

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Excellent sir👍 yr method of teaching.. just wow! I pray to God that he will give u healthy n long life 🙏

[@crazymath2104]

Wah sir..... we need something more and more and more 😍😍😍😍😍 thank you sir.... i need bsc math.... but do not know the syllabus 😭😭

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Same 😢

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Me too

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Sir apke lectures mujhe apne college wale sir h hamesha hi better lagte h.😊 Apki teaching skills boht achhi h .

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Bht acha padhte hai sir aap, mathematics ko easy bna dete hai sir, 🎉

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sir ,we are extremely greatful that u do such a noble work for us(students) and your way of teaching is also very great may u live long and healthy .

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Thank You Sir. We Need More Group Theory

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Mathematics for degree student book solved krye. Na sir SB cover ho Jaye GA or dought bhi kthm ho Jaye GA

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Excellent Rajendra Sir,I am in MSC part ll,and now I have understood everything in details 👍

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Gajendra sir bro and not Rajendra sir

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Sir aj Maine again apki ye class li hai sach main sara kuch smj main a gya hai Allah pak apko or kamyaab kry Ameen summ Ameen sir

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ThAnk U so much sir for ur vedio !!Really sir ur vedio is very helpful for us for Study!!?? Really sir I have no any single. Word to say something about ur teaching ... Thank u So much Dr. Purohit Sir

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What an amazing and effective way of explaining the most hated topic of mine !!!

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Guruji apki vedios bahut help krti h ...0 to 90% pahuch jata h topic🦾❤️❤️❤️❤️

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Sir ,you are a brilliant teacher and kind men. thanks for helping thousand of students .... thank you very much...

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In my collage discrere teacher make it so hard.... I feel like I'm never learn it....I can't understand it....any topic of discrete mathematics.... I am give up with it...but you make my life lit bit easy to teach me in this way I can understand the concept .... Thanku alot sir...❤️❤️❤️❤️❤️❤️❤️❤️❤️❤️❤️

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sir mjaa aa gya... bhot achaa pdhate hai sir aap... arjun ke brahmastra ki trah aapke smjhaye topics dimag m ghus jate hai...

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most wanted vedio, thnk u very much sir for uploading this vedio, sir upload all the algebra series bcoz exam is near. I am totally dependent upon u.

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You are a good teacher, The way you write thing is easy and understandable. Keep it up

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Really your teaching is very easy to understand and learn 🔥💥✨

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I am thankful to our friend Farooq. coz he send me the link of this video

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In last Year i scored 70% in bsc math in our college because of my lecture and specially you. Your video class clear my all doubt 😊

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Applause.... Such an honest teaching way....

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Please sir upload more and more concept on group theory. I am always waiting for ur lectures .I like ur teaching style so so much sir. ..Thank you sir. .Thank you so much .

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LAST FEW MINUTES GAVE FULL UNDERSTANDING OF THE VIDEO 😇🥳

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Aap jo smjhate hai vo keval dimag tak hi nahi balki dil tak bhi pahuchta h sir.. 🎆🎉🙏🙏🙏🙏🙏🙏🙏

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Great class sir❤🎉

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Who watching this 2024....😅

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Kon sa university college hya vi

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Bhai tum logo ko aur koi kaam nhi h kya Mein kabhi bhi aao tujhe kya, kon sa commission mil rha h tujhe

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Me Too BCA 1ST SEMESTER

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Me

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Padhlo 😂😂

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A great teacher. Thanks for enriching us with the knowledge of this topic that seemed to be a relatively difficult nut to crack earlier,but now Alhumdulillah all clear through your most simplest and easily understandable way of teaching.

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Hats off to you sir, I'm preparing CSS exam for Civil service of Pakistan, your lectures are helping me in a quick overview ❤️

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waaha par hota ha padhai likhai??

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Sir me pichle 3 ghante se presan thi or videos bhi dekhe kuch samajh nhi aaya but aapki class se confidence aa gya thank u so much sir ....or ese hi videos or bnate rho please hamare liye ....and again thanks sir meri help k liye ....🥰🙏

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Sir apne itne ache se explain Kiya sb smz aa gya ... Thnq sir.....💫💫💫

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Thank you very much sir providing such such extraordinary classes for the students of bsc mathematics. I'm absolutely very grateful to you when I find you on KZbin. Your online lectures are providing us to fulfill our dreams in the journey offer career as mathematics. Your classes are helping the students in an intelligent way.

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Thanku so much sir from nepal

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Thank you sir for staring group theory.

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Thanku sir... it's very helpful for me & specially in lockdown situation it's really help me to understand the basic concept of group theory.

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Hello Eshika.. Advance maths ke liye online course available h U can contact

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This is an incredible video which taught me concepts very well.

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Extra ordinary...........Im pg in physics but more interested in maths highly beneficial for me............thanks a lot for us

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Waching this video February 2025 before RGPV Exam 😂❤

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Thanks a lot sir, you are winning our hearts, you're really helping us.

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I like your way of teaching but due respect please write part 1 part 2 so on, in your thumbnail for better to know series part

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No 1 maths educater in india..jgr meraa love u sir

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Sir G u r the best teacher i have ever come across. thumb up and thank u from pakistan. keep the best work up may allah bless ya ..

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Sir... Thank u soo much🙏🙏really appreciate it, ur hardwork and how dedicated you are is clearly visible... I'm gonna gain a lot from it... I'm glad I've found ur utube channel!! :)

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Thank You Sir for starting group theory..... I am waiting for this lecture

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Yes sir I m also

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Please help karo na koi Msc ka math kha se complete Kare please help Karo na koi

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@@jharkhandacademy9898 bro Sir ki vdos me nhi h kya MSC ke content?

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Awesome work sir, the basic content any subject should be universal to provide level playing field for all the students irrespective of any background. Thank you so much for for fantastic initiative to make those ideals possible.

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Very nice content and the vedio is really very helpful in a simple language....

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Thank you sir .... You are very very good teacher. Your lectures always help us to understand the concept properly 🙏🙏

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I don't attend class regularly bc I know if I go through these lectures these are better 👌👌👌

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Thank you for your efforts.. Truly amazing and lucid explanation. Continue your series in abstract algebra

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Lucid dreams !

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Cute dp😃

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Thanks Sir For Group Theory 💕💕💕

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What a wonderful explanation 👏 👌 removed my all doubt. Thanks sir a lot 🎉🙏

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Sir thanku so much aap bhooot nek kaam kr rahe h aapki Vedios se hamari bhoooot help hoti h so so proud of you sir. Such a kind work very well done

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Thanks sir It's very important for me Again thanks sir

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Thanks you for this course.

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We need more content of group theory

[@aaradhyasingh4331]

9:05 zero or 2 ko plus kiye to zero or 2 ka multiply kyu nhi kiye one se 2 ko multiply kyu kiye samjh nhi aya sir pls explain.....

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@@aaradhyasingh4331 as.. For addition 0 is indentity element.. & for multiplication 1 is indentity element always

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@@aaradhyasingh4331 agar 0 se multiply karenge to 2 nahi aayega 0 aayega to ye multiply ke liye identity element nahi hai lekin 1 se karenge to 2 ayega to ye hai

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@@snehashisbiswas2029 yes thanku

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GP Sir.....Superb....Aaj mujhe kuch doubt tha....mast clear ho gaya....

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One of the best....classes on you tube .. Well done sir

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very well explained...you make maths too easy to learn...keep the good work up

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Glad to hear that

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Please Sir, devise the earlier strategy and explain the concepts by solving lot of questions.

[@ananddubey2370]

Sir please make vid. Of the questions of group theory as soon as possible 🙏🙏🙏

[@sarvagyajain9681]

Thank you sir aapke in videos se bahut jyada help ho rahi hai hamari aise videos banate rahiye. Wonderful explanation hai aapki concept crystal clear kar diya aapne thank you.

[@shivamrituchouhan2000]

Thank you sir much sir , itne difficult topic bhi aap itne easy way mai explain kr dete hai , aur itne achhe se samajh mai aajate hai ke hamesha ke liye yaad reh jaate hai topics aur unka explanation bhi 😄👌👌 Recently hi mera msc ka result aaya hai , bohot achhe marks to nahi hai , pr phir bhi ummid se kaafi achhe marks aaye hai , and credit goes to you sir 🙏🙏🙏 2 saal ki gap ke kaaran kaafi tension tha msc ka but aapki videos ne bohot help ki sir 🙏 You are genius sir , thankyou so much for making such helpful videos 🙏😊❤️

[@dipentrivedi5183]

Who's watching in November 2024 😅😂

[@nayanali1419]

December 24

[@dikshabagade5542]

The 86 dislikes are by our college profs, jinse better aap padha rhe ho😂😂😂😂 literal bhagwan aadmi 🙇‍♀️🙇‍♀️🙇‍♀️🙇‍♀️🙇‍♀️

[@gauravmeena4545]

YES IT IS DEFINITELY TRUE😂😂😂😂😂😂😂

[@fatimatabassum3133]

Yeah its true 😂

[@muhammadasif1412]

👍

[@Intensitymentor5721]

Yes

[@prbengineer1042]

Sir ji, VMOU University me MSC (pre+mains) ke liye Group theory me Theorem krva dijiyega 🙏

[@lalitmohan1979]

Tq sir .. I am doing my bsc just Because of your videos .. tq very much to helping us

[@Nihal_sejkar_07]

bohot badhiya guru jiii

[@solutionhub4186]

I wanna ask that can u put a vedio on homomorphism Till end of feb

[@spiritualmantra4803]

Sir heroes don't sad

[@swatirao5173]

Sir PURA group and Algebra playlist Bana digiyyy

[@ayushthakur4123]

hi Swati, you look somewhat similar to alia Bhatt

[@Trendy_Flea_]

i am viit college in pune but some teachers are not teaching good ur videos help me and my friends thank u sir👍

[@chhandaduttadutta827]

Your explanation is very very..... Good