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
Thak you very much sir for providing such a well compiled content.can you bring a series of questions of IIT jam level with their solution with tricks???
Thank you sir very understandable explanation really sir mathematics is very interesting subject and scope of mathematics in upsc pcs ,net Gate and reasoning is very superior 📚👍💯🔑
Sir solve this question Let m and n be positive integers such that m/n Prove that the map fhai:z/nz implies that z/mz sending fhai (a+nz)=a+mz for any a belong to z is a group isomorphism
@@PriyanshuKumar-mt4zf dekh it's an educational channel otherwise the the reply will be just like that you will never ask someone for their spelling error
Sir, eg 3 is not an insomorphism. f does not preserve composition. I have checked it multiple times. Please do check from your side and rectify the error if any.
thank you so much sir for the classes. in example C how is it becoming onto? logx is always positive , right ? so F(R+) contained only positive part right
Abstract algebra is related to all videos very helpful. This video is matching of Allahabad University syllabus .In present time is all College teachers is not teach to perfect online classes. So sir is smart and easy language teaching for me very,..........,... helpful.
Sir ek book meisomorphism ke definition me into aur onto dono likhe h kyu? Only onto hota to into vaise bhi ho jata h dono likha h book me kyu? Sir isi ko explain kr dijiye
Also solve another problem sir. let f be a field of characteristic o. then prove that a polynomial f(x) belongs f(x) is solvable by radicals over f if and only if its splitting field k over f has solvable galois group g[k,f].
Sir please solve the following question it is very necessory. if ψ be an isomorphism of a field F1 onto a field F2 such that α ψ = α' for every α ∈ F1 then prove that there is an isomorphism ∅ of F1 [X] on to F2 [t] with the property α∅ = αψ = α' for each α ∈ F1. do something sir .
Good but Sir jiiiiiiiiiiii what is this jesa k hmmm janty hen ye hota hy wo hota agr we know about this pehly c hi too yahan q aty?? Just slide too read na kia kren
Sir example 3 ka b part mein difference aa rhaa hai, aapne bas keh diya ki ho jaayega par ho nahi rhaa hai, please misguide na kariye, aur aapne uss table mein order bhi change kar diya hai jo nahi hota hai
Thanks for your comment, your appreciation always motivate us to do such kind work.
Join Telegram Channel : t.me/mathsbygpsir
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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
Sir your vedios are very helpful for us please keep continue
DHANYAWAAD GURUJI
fast as well as skipping things without explaining in a few examples
Exactly
@@riyakashyap3261 +1
Yess
Thankyou sir... Please sir it's request to you complete the abstract algebra book because my exam is on 8 April... Your videos help me a lot
In 3rd example, hiw are the tables identical?
Tables are identical in the way that if you replace the respective mapping then you get the same table
Thanks sir u had covered approx complete algebra🔥🔥
sir I like u teaching... Really ur lectures r very much useful for me
14:18
Sir according to the table you made the functions are not matching
f(0) is not replacable by 1
I saw this too.
Thank sir for the vedios on msc entrence exam parpose
Marvelous💯💯
Sir example 3 (b) if we are replacing the numbers we are not getting the identical table .. so sir how it is isomorphism
Confusion 🤧
@@jinalhere It's not an example of isomorphism🤘
Exactly
Same doubt
Same doubt
apka content bahut helpful hai
Thank you sir, it is very helpful for me
Thanks for giving us most most clearly class
Very Helpful and Nice video. Your teaching is very good sir. Thank you so much
Thak you very much sir for providing such a well compiled content.can you bring a series of questions of IIT jam level with their solution with tricks???
JAI SIYARAM JAI HANUMAN JI
Thank you sir very understandable explanation really sir mathematics is very interesting subject and scope of mathematics in upsc pcs ,net Gate and reasoning is very superior 📚👍💯🔑
Sir example 3 (b) how table are identical
Humko bhi samjh nhi aaya...
Same doubt
Thanks for making videos of this topic 🙏
Back to back lecture jai ho
ye example a,b,c me morphism morphism karta gaya pir example 1 me homomorphism??
Sir, literally..... Big fan of ur explanation... Keep it up... Thnqq sir
itne chante bharoga
Sir solve this question
Let m and n be positive integers such that m/n
Prove that the map fhai:z/nz implies that z/mz sending fhai (a+nz)=a+mz for any a belong to z is a group isomorphism
We love you sir.
Sir, in 14:50 , hum kya likhe? , 1,2,3,4 ko replace karen ya 1,2,4,3 ko replace karein? Plz bataiye sir
Yeah.... 1 2 3 4 likh lo... Lkin agr 1 2 4 3b likh lo tw koi msla Nahiii
Sassy B+ich🐩🐕
Table 1,4,2,3 hoga
Sir u r the best👍👍👍🏆🏆🏆. Thank u sir🙂🙂
Arre sir screen shot bhi lene diya kariye thora solve krke samne khade ho jate h phir turnt slid skip lr dete hai 🙄
Thank you so much sir your class very helpful
V.nice explaination sir
sir...Real Analysis apki playlist me nahi mil rha hai. plz help me.
Thankyou sir 🌺😊
nice concept ❤️❤️
sir example 2 thoda confusing raha starting kyunki aapne uski mapping question ki jagah answer me di🤔🤔🤔🤔🤔🤔🤔
Ap sahi ho .. apka confusion genuine hae
You are a excellent teacher sir but plzz try to talk slowly
It's very nice sir .your all videos are very helpful .. but your teaching way is little bit speed .
आपका बहुत बहुत आभार सर 😍😍😍
sir lekin ye kaise pata chalega ki mapping kya lenge
Love ❤️ dear sir
Nice explanation ❤️❤️
Thank u so much sir 😊😊
Sir please tell how it is onto in R negative numbers are also there
Kindly make lecture on commutator subgroup. Theorem commutator subgroup is normal subgroup of G..
Sir can you aload the next video on isomorphic till evening becouse tomorrow will be exam
Thanks sir great
Nice lecture!
thanks a lot sir...can u slow a little bit...it might help more
Sr its amazing
Your vedios are very helpful
Good sir keep up it
Allah apko ajar dy
ajar ky hota h bhai
@@utkarsh_108 apko sumj nhi ani
@@themathmotivor. chalo thik h fir
Sir please upload vedio on permutation soon I have exam on Monday and 2 units with permutation also remain
video ka spelling ata ha
@@PriyanshuKumar-mt4zf dekh it's an educational channel otherwise the the reply will be just like that you will never ask someone for their spelling error
Sir, Riemann integration pe vedio kb aenge.
Very nice Sir
Sir, eg 3 is not an insomorphism. f does not preserve composition. I have checked it multiple times. Please do check from your side and rectify the error if any.
eg 3(b)
Thanks🙏🙇🙏💕 Sir
V nice explain sir
Thanks sir💖💖
sir in example C at 6 min 50sec time , Negative numbers of R doesnot have it's pre-Image present in R+ , So how it became onto?
e^x > 0 always. So for any +ve ans -ve values of x ie R, it produces only real numbers greater than 0.
thank you so much sir for the classes. in example C how is it becoming onto? logx is always positive , right ? so F(R+) contained only positive part right
log x can be negative as well as zero. eg.- log(1/2), log (0.4),etc.
value of x in logx is always +ve.
@@princeraj2750 Thank you so much. I googled and found it. Iam restarting studying aftera long gap. So some points are lost
Sir upload video on ring , subring plzz
example 3 m multiplication modulo ki table glt nhi h ky??????????
Example 3b m table 2 kaise form kiye ye samjh nhi aaya sir? 🤔 🤔 🤔 🤔
Pranaam guruji
Sir permutation wala topic jaldi dal doo 18 march ko paper haiii
Sir please upload video on normalizer and centralizer
Sir you did blunder in 2nd example...correct that...please show the right way to solve
Hi sir can i have a soft copy of your powerpoint? Thanks
Nice very nice sir
Thanks you sir
sir eample2 mein apne not equal dikhaya too wo one one kaise hwa? plz answer dijia
Thanks sir!!!!
Sir please upload permutation group also
Sir please iit jam 2020 paper solve kijiye
Centre of group ka video bnaaiye
❤
Thanks sir
Abstract algebra is related to all videos very helpful.
This video is matching of Allahabad University syllabus .In present time is all College teachers is not teach to perfect online classes. So sir is smart and easy language teaching for me very,..........,... helpful.
Sir ek book meisomorphism ke definition me into aur onto dono likhe h kyu?
Only onto hota to into vaise bhi ho jata h dono likha h book me kyu?
Sir isi ko explain kr dijiye
1:56
Condition(1)
Last m ∀a,b∈G hoga
...may be typing mistake 😊
You teach well sir along with your speed well😏
Please teach us a bit slow🙄
Sir, is Z4 and A4 are isomorphism?? Plz help me,
Nahi O(Z4)=4 but O(A4)=12
Sir mapping kesy ly gy
Your explanation good but explaining fast
Nice
Please solve ∇2r^nr=n(n+3)r^n-2r
permutation group ka question q dal dia... vo to baad me cover hoga
thanku sir
Also solve another problem sir.
let f be a field of characteristic o. then prove that a polynomial f(x) belongs f(x) is solvable by radicals over f if and only if its splitting field k over f has solvable galois group g[k,f].
Sir please solve the following question it is very necessory.
if ψ be an isomorphism of a field F1 onto a field F2 such that α ψ = α' for every α ∈ F1 then prove that there is an isomorphism ∅ of F1 [X] on to F2 [t] with the property α∅ = αψ = α' for each α ∈ F1. do something sir .
Sir please make on Fermat's theorem and eulers theorem
Well
Good but Sir jiiiiiiiiiiii what is this jesa k hmmm janty hen ye hota hy wo hota agr we know about this pehly c hi too yahan q aty?? Just slide too read na kia kren
Sir example 3 ka b part mein difference aa rhaa hai, aapne bas keh diya ki ho jaayega par ho nahi rhaa hai, please misguide na kariye, aur aapne uss table mein order bhi change kar diya hai jo nahi hota hai
😊😊
Guruji 2 example me ek doubt h
Real number bola h lekin e real nahi h
Plzz ............
e real nahi hai😅 Imagination se bahar aao
Are sir😂aram aram se padha lo palwal 😂 nhi nikalna h😅
Sir multiple choice questions chahiye
Centum le lo... Usme mil jayenge..
{0}×R isomorphic to R. How it's happened.
Sir one request
You speak to much fast some concepts we don't understand ur fast speaking
Plz deliver lecture in slow speed
To Bhai speed slow kr lo na...
@@theindoledge5833 ap meri behn kb sy hoi mery abu na ap ki ami sy merriage tu nhi ki ha
you engliss too bad
abe bsdk
8:20 why
Ok sir kal dekhuga ab time ho gaya .mera