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Group Theory | Properties Of Groups | Discrete Mathematics
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- เผยแพร่เมื่อ 14 ส.ค. 2024
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This video lecture of Group Theory | Properties Of 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. Properties Of Group
2. Proof Of Properties Of Group
3. Uniqueness of identity & Inverse Of Group
4. Reversal Law of inverse
5.Cancellation laws Proof
6. Alternate definition of a Group.
7. This is part of Abstract Algebra
#GroupTheory#PropertiesOfGroups #DiscreteMathematics #AbstractAlgebra
#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 Of Group Theory | Properties Of Groups | Discrete Mathematics | Problems & Concepts by GP Sir (Gajendra Purohit)
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Time Stamp
0:00 | An intro
0:13 | Topic introduction
1:08 | Abelian group: Quick review
1:44 | Properties of group : Uniqueness of identity
5:02 | Uniqueness of inverse
8:26 | Some important theorems (Reversal law of inverse)
16:27 | Another important theorem
19:11 | Alternate definition of a group
24:51 | Conclusion of video
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Dr.Gajendra Purohit
Can you make videos on 2d geometry pls sir
Sir aap bhut acccha pdate hai aur aap ese he pdaye
Sir Heartful thanks for ur videos
Can u send that notes as pdf sir
Sir ...Group me distribution property kaha lagta hai?? Distribution ke bare me kuch nehi likha hai Aisa kyu??
Completely agreed sir, typing mathematical equation in PPT is tough task, hats off to your dedication sir, it's up to we students who must utilize your videos 💯
Good explanation of a difficult concept in an easy way. Thank you so much for your efforts
It's really true.
Sir you helped me in all the three semesters.. Now it is the last engineering mathematics..
So I am requesting..
Sir please make videos on "optimization and calculus of variations".
Sir your way of teaching is fast try to teach to the concept level.
No need for concept level do you have to do PhD or masters?
Sir please cyclic,cosets, quotient and permutations and homomorphism groups upload karie.
Haan 😢😢
Sir per day vedio upload kreye, paper ane wale h. 🙏
Time Stamp
0:00 | An intro
0:13 | Topic introduction
1:08 | Abelian group: Quick review
1:44 | Properties of group : Uniqueness of identity
5:02 | Uniqueness of inverse
8:26 | Some important theorems (Reversal law of inverse)
16:27 | Another important theorem
19:11 | Alternate definition of a group
24:51 | Conclusion of video
Gud boi
Sir your teaching style is just amazing and lucid....it's very helpful for those students who are financially weak ❤️❤️
Gurudev ..
Aap group theory ,ring theory and linear algebra ...
TH-cam pr complete pdaoge kya...
Pls sir jrur btana...
Yes but it will take time
Ok gurudev..
Aapse request🙏🙏🙏 h ki daily km se km 2 vedio upload kr do...🙏
Daily 2 Videos???
Guru Ji ko Saans toh lene doh!
Kitna Tangg karoge ap??
Theorem 3
(a) can be done by this easy way
we know
aa^-1 =e
a^-1=e/a
let b = a^-1
bb^-1 = e
b^-1=e/b
b^-1=e/a^-1
b^-1=e * 1/a^-1
b^-1=e * a/e
b^-1=a (b = a^-1)
(a^-1)^1 = a
same can be done for binary operation of addition 😀
Group pdhne se dr lg rha tha
Ab 3 video dekha h inshaallah puri playlist complete krungi
Thank you sir
Sir jo apne ppt pe smjaya hai algebra class me apko btana chahta hu ki me Hindi medium ka student hu ... Mere ko English nhi ati thi but apke ppt p smjane ki vjh se mere ko ab English smj me ane lg gyi hai .. ab word p bhi pakad ho rhi hai sir thanks for this cantant
Again thank you so much sir ji ❤️
Please sir group theory ka all topics upload kariye
It is confusing when you write * in place of multiply sign (×) because * represent the binary operator (+, -, ÷, ×) .
sir apko national teacher bnaa dena chahiye :p.. Thanks alot sir.. your content is helping number of students like me!!
Yeah you right
बहुत अच्छा सर हमको जुड़ा हुआ सिर्फ दो-चार रोज हुआ है लेकिन बहुत अच्छा लग रहा है मैथमेटिक्स सो थैंक्स
Sir, at 20:05 in the video :- In the question we have been given ax=b, then how can we say ax=a?
5:00 why mathematician think about these theorems,
First defining what is a triangle......, Oh its a three side straight line bounded plane figure......
And then asking .....prove that triangle have three sides ...🙁🙁🙁🙁
Thanks sir for help ❤️❤️❤️❤️
Exactly.
Teaching method is very good
Sir your teaching way is Awesome ❤
You are best 👍
Thankyou sir
Bahut umda video hai sir🔥
Aane wale time mein is video se logon ko bahut help milegi✨
Thank you Thank you so much sir mujhe ye college me samajh nahi aa raha tha but aap aisa batate hai ki samajh aa jata hai . Thank you so much sir
Thank u sir...
I never ever seen teacher like you , great sir
Busy schedule hote hue v time nikal kar itte achhe content de rhe Hain.... thank you sooo much Gajendra Sir....😊♥️
Sir Please Make Vidoes on Bsc 1st year Geometry 2d ,3d plane and straight lines
Kis University me pdte ho?
Bsc 2nd year ki koi book aati he kya jisme pura samjhaya gaya he har question koo????
Sir main Pakistan say ho apk channel k through mujhay boht faida ho raha thank you sir your methodology is very good
absolutely wonderful sir this whole series og group theory is neatly explained by you thanks a lot.
Thank You for free from laborer work.
Sr u e mind blowing kia parhty hain ap apka teaching method bhtttttttttttttttttttttttttttt acha hai thanks alot bus asy hi vedios banty rahain many sary concepts apky lectures say hi clear kia hai
Sir group theory k sary topic krwayen......plzzzzz
Best vedio ever on you tube for maths
Awesome and very nice video Sir 👌👌👌👍👍👍
Sir bring more videos as possible 👌👍💯👍
Apki vajah se. Hi mein ajj exam ki tayari kar raha hu thanks for your reference sir
Thanks sir
Please upload all videos of 1st year
You are my best sir in all over the world
Thanku sir 🙏 ji apka samjhaya hua bahut achhe se samjh aa raha h
The whole playlist is very helpfull, Thankyou sir.
Can you please provide us the with the ppt of the lectures for reference?
You are great sir👏👏👏👏👏...wow
Thanks very much sir. Great content, detailed explanation. these linear and abstract algebra classes can be well understood and proves quite helpful for my semester exams. Looking forward to more such amazing videos
Great sir 🙏🙏🙏
You are great sir g
Aap bhut achhe s. padha rhe ho .
Smart board hi sbse suitable hai algebra k liye.
You are doing a great work for us
Thanq so much....
hudge respect sir g...
Good. Explanation sir.....I m prepare 2nd grade teacher exam it's help me thank you
BEST TEACHING OF INDIA
India ke best educator ko hamara pranam l love you sir and your teaching you are great sir
Sir you explain so easily ... it feels so easy after you teach ....thank u sir...You are a very good teacher I have met in real life.. Thank u so much sir .....
Thank you sir for this video
Nice!!!
thank you so much sir apki har video bhot ache se samajh ati hai
Thank you sir for guiding us through your videos I never thought that I can understand algebra at this level all is possible only and only by your guidance again thank you sir
Sir it helps me lot thank you very mauch.....and sir please upload a video on..'' Integral power of an element in a group ''and some examples.
Thanku so much.........bhut hi ache se smjh m aa rha h.....
Plzz daily atleast 2 videos upload kijiye
Sir permutation ki bhe videos bna do please sir
Your explanation is very easy ...i got everything
The way u teach is perfect💯
sir video is great but at last it become confusing so plzz try to explain with examples or some different way but over all concept is understandable
Nice sir
Teaching on digital board is good....
Sir .. yahi tarika best hai padaane ka.. math ko..
Sir plz upload videos on weierstrass approximation theorem
Sir thank for this lecture😘
Love and appreciation from Russia... ❤️
Thanks a lot sir ....
Maths optional for civil services and these lectures are very helpful
Please upload more video on this topi.
Thank you🙏💕🙏💕 sir
Sir upload more videos
Thank u sir...keep going sir ...we all are with you...
Sir 2d and 3d geometry par bhi videos bhi bana deejiye sir
Sir cancellation property nahi bataya apne 😢
Sir please make video
property of order of elements and group.
🙏🙏🙏🙏🙏🙏🙏🙏🏼
Thankyou sir I m pursuing bsc2 year from Lucknow University u r helping allot
Sir plx first lecture konsa h group ka
Sir aapke teaching se maths bhut bhut easy lagta hai
Thanks sir
Nice explaination.....I rarely subscribe someone channel......now I subscribe ur channel.....the way u r teaching is awesome..... But I request u to speak a Little bit slower ... specially in tough questions thanks
Sir your content is very helpful ❤❤❤
The way you are teaching is really awesome .
Sir your teaching skill soo cool
Thank you sir for your sincere efforts. Without you I wouldn't have been able to understand a single concept of the course
Sir ek non abelian group ka video upload Kar dijie
Sir PPT de diya kariye revision me bahot help hoti hai
This topic is quite tough than previous topics 😅
Sahi kaha yar 😂😂😂
Sir.. in proving the uniqueness of identity theorem how can you say that e*e'=e'*e? Because given group is not necessarily abelian group..
17:42 yrrr koi simple se bat nhii hai...😂😂😂😍 Contradict....
Very helpful video sir ...concept are more clear now ..... explain attion are too good ... thank u sir ...gbu
Thanks sir ur unstoppable keep it up sir 👍👍👍♥️
Thanks 🙏🙇🙏💕sir g,
teching skillls are the worst but kowledge and content is goood.
Sir aap bahut acha padhate hai
No sir your method is very good, I'm appreciating your effort
thanks sir bohat acha teach karde o tusi 👏🏻🙏
you are lifesaver sir
Yetna kharb kaise koi paara skta hai
Sir aap ye casual me chizko smjhate hai aaisa lgta hai ham loog ko sab aata hai es tarh se aap explain kr rhe hai yetna short me
shi keh rha bhai
Thank you so much sir, (ab)(b^-1a^-1)=e
Means (ab)^-1=b^-1a^-1
but sir (ab)(a^-1b^-1)= e also
So (ab)^-1=a^-1b^-1
No (ab)(a^-1b^-1) is not equal to e because b*a^-1 is not equal to e
ur teaching method is so good and ur videos so helpful for me
thnk u sir
Thank you so much sir for this much clear explanation.
Looking forward to complete whole group theory under your guidance.
Thank u thank u sir, u explained this complicated material very simply. 🙏🙏🙏
in short time u r explaining more
thank you so much sir
Thank u sir.😊😊 Finally ye concepts mujhe smjh AA rhe h