Open Set with 9 Examples- In Hindi-{Neighbourhood & Limit points}-B.A./ B.sc Hons (Math) 1st Year

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Learn Math Easily

Learn Math Easily

Күн бұрын

Пікірлер: 176
@anjumshah8042
@anjumshah8042 4 жыл бұрын
Very nice teaching mam ......keep it up👍👍👍
@ArchanaSharma-in5vv
@ArchanaSharma-in5vv 5 жыл бұрын
Mam, jab aap closed interval le rahi hai tab aap end points ko consider kar rahi hai aur isliye woh sab open set nahi no rahe hai par agar hum end points na le toh closed intervals bhi open set hi ho rahe hai ... Mujhe ye samaj nhi aaya
@learnmatheasily
@learnmatheasily 5 жыл бұрын
Closed interval me end points hote he , open interval me nai hote
@sonamk.c4818
@sonamk.c4818 5 жыл бұрын
Maam thank u...a lots for uploading videos on real analysis...💞
@learnmatheasily
@learnmatheasily 5 жыл бұрын
* GOOD BOOKS FOR REAL ANALYSIS* I got so many comments about good books of Real Analysis. I found some good books that i follow. But please you purchase any book by taking your own decisions. Books are as follows: Introduction to Real Analysis 4 Edition (English, Paperback, Robert G. Bartle, Donald R. Sherbert) fkrt.it/c4paxKNNNN Introduction to Real Analysis, 7th Edition (ENGLISH, Paperback, S.K. MAPA) fkrt.it/fQqgsnuuuN Real Analysis 4/e PB (English, Paperback, Royden H L) fkrt.it/c41gqKNNNN IGNOU MTE-9 Real Analysis (Paperback, Expert Panel of Neeraj Publication) fkrt.it/cPKcBKNNNN Real Analysis (English, Paperback, Karunakaran) fkrt.it/cDqhOKNNNN
@afjalafy3123
@afjalafy3123 4 жыл бұрын
Really thanks to you mam....❤️❤️,...
@singhashorts2925
@singhashorts2925 5 жыл бұрын
Thanks a lot😊
@learnmatheasily
@learnmatheasily 5 жыл бұрын
Thanks for your comment
@abhishekpurohit8867
@abhishekpurohit8867 5 жыл бұрын
Thanks a lot mam
@learnmatheasily
@learnmatheasily 5 жыл бұрын
* GOOD BOOKS FOR REAL ANALYSIS* I got so many comments about good books of Real Analysis. I found some good books that i follow. But please you purchase any book by taking your own decisions. Books are as follows: Introduction to Real Analysis 4 Edition (English, Paperback, Robert G. Bartle, Donald R. Sherbert) fkrt.it/c4paxKNNNN Introduction to Real Analysis, 7th Edition (ENGLISH, Paperback, S.K. MAPA) fkrt.it/fQqgsnuuuN Real Analysis 4/e PB (English, Paperback, Royden H L) fkrt.it/c41gqKNNNN IGNOU MTE-9 Real Analysis (Paperback, Expert Panel of Neeraj Publication) fkrt.it/cPKcBKNNNN Real Analysis (English, Paperback, Karunakaran) fkrt.it/cDqhOKNNNN
@Neetikasuroop3109
@Neetikasuroop3109 5 жыл бұрын
Awwsm mam
@sayanjitb
@sayanjitb 5 жыл бұрын
for real analysis or complex analysis should i consider always epsilon nbd which is too small positive quantity?
@learnmatheasily
@learnmatheasily 5 жыл бұрын
Yes
@sayanjitb
@sayanjitb 5 жыл бұрын
@@learnmatheasily thanks madam
@crimeworld6032
@crimeworld6032 6 жыл бұрын
mast concept hai mam
@rajivmathsacademy4904
@rajivmathsacademy4904 5 жыл бұрын
Please explain mathematical way also that is how to choose suitable epsilon
@learnmatheasily
@learnmatheasily 5 жыл бұрын
Ya sure . You are also running a KZbin channel ??
@rajivmathsacademy4904
@rajivmathsacademy4904 5 жыл бұрын
Yes
@learnmatheasily
@learnmatheasily 5 жыл бұрын
Same name?? And which topic you are covering ??
@rajivmathsacademy4904
@rajivmathsacademy4904 5 жыл бұрын
Yes I am covering Discrete Maths , Integration etc
@learnmatheasily
@learnmatheasily 5 жыл бұрын
Ok
@muhammadsadiq1792
@muhammadsadiq1792 6 жыл бұрын
Nice medam Ab mera concept clear ho gaya
@learnmatheasily
@learnmatheasily 6 жыл бұрын
Muhammad Sadiq thank u
@sakshigoyal5751
@sakshigoyal5751 6 жыл бұрын
Now I understand.....tysm
@shubhambhatia8947
@shubhambhatia8947 5 жыл бұрын
mam open interval bounded or unbounded
@learnmatheasily
@learnmatheasily 5 жыл бұрын
Open interval is bounded by its end points
@learnmatheasily
@learnmatheasily 5 жыл бұрын
* GOOD BOOKS FOR REAL ANALYSIS* I got so many comments about good books of Real Analysis. I found some good books that i follow. But please you purchase any book by taking your own decisions. Books are as follows: Introduction to Real Analysis 4 Edition (English, Paperback, Robert G. Bartle, Donald R. Sherbert) fkrt.it/c4paxKNNNN Introduction to Real Analysis, 7th Edition (ENGLISH, Paperback, S.K. MAPA) fkrt.it/fQqgsnuuuN Real Analysis 4/e PB (English, Paperback, Royden H L) fkrt.it/c41gqKNNNN IGNOU MTE-9 Real Analysis (Paperback, Expert Panel of Neeraj Publication) fkrt.it/cPKcBKNNNN Real Analysis (English, Paperback, Karunakaran) fkrt.it/cDqhOKNNNN
@pritishalini202
@pritishalini202 4 жыл бұрын
Empty set is closed or not?
@learnmatheasily
@learnmatheasily 4 жыл бұрын
Both open or closed
@lalitakushwaha-l7q
@lalitakushwaha-l7q 4 жыл бұрын
Tnq mam I understand clearly
@KundanKumar-xo9oj
@KundanKumar-xo9oj 5 жыл бұрын
Study material is good but please improve video quality.
@learnmatheasily
@learnmatheasily 5 жыл бұрын
Ok
@KundanKumar-xo9oj
@KundanKumar-xo9oj 5 жыл бұрын
And also use white board instead of papers.
@ahmadalisafdar8251
@ahmadalisafdar8251 5 жыл бұрын
Mam example number 1 mai open set lai to "a" k crosspond chota sa baal le to "a" k left wala part to add nahi ho ga to phir ye kese open hoa apne hr aik point k lye
@learnmatheasily
@learnmatheasily 5 жыл бұрын
Mention time of the video
@tanubhatnagar1212
@tanubhatnagar1212 6 жыл бұрын
Mam open sets m bhi to a ka p-€ vala neighbouhood bahr h interval ke or b point ka p+€ vala neighbourhood bahar h
@learnmatheasily
@learnmatheasily 6 жыл бұрын
Aap plz time mention kijiye video ka. Jaha aapko doubt aa raha he
@samiamalik9469
@samiamalik9469 5 жыл бұрын
But open interval main a, b belong bhi to nai kar rahe set S ko
@yaikhonba
@yaikhonba 6 жыл бұрын
Can you state if the set of natural numbers is open or not... I'm a little confused in that part
@learnmatheasily
@learnmatheasily 6 жыл бұрын
Its closed
@lakhindhartaye2802
@lakhindhartaye2802 6 жыл бұрын
well done
@TheShivashaktiii111
@TheShivashaktiii111 6 жыл бұрын
👏👏👏👏
@learnmatheasily
@learnmatheasily 6 жыл бұрын
Thank u so much for your comment
@inderjeetchandnani302
@inderjeetchandnani302 5 жыл бұрын
Hi...can you help me to test if A={(x,y)E R2/y^24x} is open in R2 your assistance would be highly appreciated.
@learnmatheasily
@learnmatheasily 5 жыл бұрын
You send this on my telegram channel, i did not understand
@sagarikapaul4011
@sagarikapaul4011 5 жыл бұрын
thnkuuuu so much mam
@MahakalJATADHAARI
@MahakalJATADHAARI 6 жыл бұрын
Mam interval (a b) me a or b include nhi hote h right ?
@learnmatheasily
@learnmatheasily 6 жыл бұрын
open interval me include nai he. closed interval me hote he.
@SkNoutiyal1234
@SkNoutiyal1234 5 жыл бұрын
Yes
@Sanuvatsa6195
@Sanuvatsa6195 5 жыл бұрын
Why empty set is an open set? Not understood clearly. Can you please elaborate.
@learnmatheasily
@learnmatheasily 5 жыл бұрын
Because there does not exist any point in empty set of which it is not the neighbourhood.
@ramabansal6502
@ramabansal6502 6 жыл бұрын
There is any difference between open set and open interval
@learnmatheasily
@learnmatheasily 6 жыл бұрын
yes. every interval is am open set but converse need not be true. watch video.
@ramabansal6502
@ramabansal6502 6 жыл бұрын
There is an example which is open set but not open interval
@ramabansal6502
@ramabansal6502 6 жыл бұрын
I am confuse because every open set contain a nbd. Which is an open interval
@learnmatheasily
@learnmatheasily 6 жыл бұрын
Rama Bansal plz watch my open set videos. Your doubts will be clear.
@ramabansal6502
@ramabansal6502 6 жыл бұрын
I already watch your video two times
@rpdmathematics3047
@rpdmathematics3047 5 жыл бұрын
Mam which book is best for real analysis?????? ActuallyI am following the book sc malik and savita Arora.... Is there any other book better than this one?????
@learnmatheasily
@learnmatheasily 5 жыл бұрын
I will tell you
@phimathematics157
@phimathematics157 5 жыл бұрын
Mam.... please make me understand how phi is an open set
@VIKASHKUMAR-xx8tx
@VIKASHKUMAR-xx8tx 6 жыл бұрын
Mam,ye 'epsilene' kya hota hai.
@chetanbora5739
@chetanbora5739 6 жыл бұрын
Very small +ve real number *
@kashifmurtaza7836
@kashifmurtaza7836 6 жыл бұрын
Mem set of rational no is an open set or not open set
@learnmatheasily
@learnmatheasily 6 жыл бұрын
Neither open nor closed
@kashifmurtaza7836
@kashifmurtaza7836 6 жыл бұрын
Samajh nai aaya aisa kyu
@kashifmurtaza7836
@kashifmurtaza7836 6 жыл бұрын
M aapko what's app pr msg kru
@learnmatheasily
@learnmatheasily 6 жыл бұрын
@@kashifmurtaza7836 rational numbers apne kisi point ka nbhd nai hota. Aap limit point je examples dekho. Isliye ye open nsi he. Iska compliment set of irrational numbers hota he. Wo bhi apne kisi bhi point ka nbhd nai hota. Isliye open nai he. Isliye set of rational numbers closed bhi nai he.i will not give whsts app no.
@kashifmurtaza7836
@kashifmurtaza7836 6 жыл бұрын
Set of rational no nbd nai rakhta
@swabhimannayak1707
@swabhimannayak1707 6 жыл бұрын
Plz solve some problem on quadratic equation
@noorsaba2646
@noorsaba2646 6 жыл бұрын
what is the value £ for (p-£, p_£) which is subset of real number and real be the open set
@learnmatheasily
@learnmatheasily 6 жыл бұрын
It is generally a very small number
@TheRamsatya
@TheRamsatya 5 жыл бұрын
Good one...could you explain why are we not taking interior point as number that exist at open bracket? I watched many videos but not clear with this point....for example open set (1,4) is there and 1 is not interior point then this not an open set. Could you please help me to understand this?
@learnmatheasily
@learnmatheasily 5 жыл бұрын
I does not belongs to this set.
@learnmatheasily
@learnmatheasily 5 жыл бұрын
* GOOD BOOKS FOR REAL ANALYSIS* I got so many comments about good books of Real Analysis. I found some good books that i follow. But please you purchase any book by taking your own decisions. Books are as follows: Introduction to Real Analysis 4 Edition (English, Paperback, Robert G. Bartle, Donald R. Sherbert) fkrt.it/c4paxKNNNN Introduction to Real Analysis, 7th Edition (ENGLISH, Paperback, S.K. MAPA) fkrt.it/fQqgsnuuuN Real Analysis 4/e PB (English, Paperback, Royden H L) fkrt.it/c41gqKNNNN IGNOU MTE-9 Real Analysis (Paperback, Expert Panel of Neeraj Publication) fkrt.it/cPKcBKNNNN Real Analysis (English, Paperback, Karunakaran) fkrt.it/cDqhOKNNNN
@ramakrushnaswain382
@ramakrushnaswain382 6 жыл бұрын
Thank you mam
@learnmatheasily
@learnmatheasily 6 жыл бұрын
Thanks
@learnmatheasily
@learnmatheasily 6 жыл бұрын
Ok
@shaitanurfmama
@shaitanurfmama 6 жыл бұрын
How fi is an open sets
@learnmatheasily
@learnmatheasily 6 жыл бұрын
Because there does not exist any point for which it is not the neighbourhood
@kinsey6086
@kinsey6086 6 жыл бұрын
Mam aap ne bsc kah se ki
@learnmatheasily
@learnmatheasily 6 жыл бұрын
Delhi university
@NitinSingh-hg7md
@NitinSingh-hg7md 5 жыл бұрын
Maam namaskaar, Maam, Can [-infinity,+infinity ] be an open set ?
@learnmatheasily
@learnmatheasily 5 жыл бұрын
Yes
@Ravikumar-wp6yy
@Ravikumar-wp6yy 4 жыл бұрын
@@learnmatheasily mam infinity toh closed interval may likha ussy koi Fark nai pdta..open my likha ho ja closed my
@learnmatheasily
@learnmatheasily 4 жыл бұрын
open me likhte he usse
@jibanurislam7260
@jibanurislam7260 6 жыл бұрын
Thank you mem,,,,
@muhammadasim8842
@muhammadasim8842 5 жыл бұрын
i am from pakistan, please miss, theorem ka proof ya counter example bata dain ky . QUESTION ; EVERY OPEN SET IS AN OPEN BALL. please give me proof OR counter example
@learnmatheasily
@learnmatheasily 5 жыл бұрын
Every open ball is an open set but converse is not true e.g.. (1,2) U (3,4) , it is an open set being union of two open balls but not an open ball.
@muhammadasim8842
@muhammadasim8842 5 жыл бұрын
@@learnmatheasily thank you so much ,miss.god biess you
@mochirahul3962
@mochirahul3962 6 жыл бұрын
Thank you mem
@muhammadsadiq1792
@muhammadsadiq1792 6 жыл бұрын
(1,2) me AGR hum aisa point le lay Jo 1 k baht baht qareeb ho s PR open interval draw kr le .Medam tu s open interval me AGR 1 a ga ye tu PR ye open tu nahi huwa na.
@learnmatheasily
@learnmatheasily 6 жыл бұрын
Muhammad Sadiq aap thoda sa clear batao , me samajh nai pa ri hu
@aryamanishprajapati8090
@aryamanishprajapati8090 4 жыл бұрын
Mam Set{1/n:n belongs to N} is an open set.yes or no
@learnmatheasily
@learnmatheasily 4 жыл бұрын
No
@shadabhussain5572
@shadabhussain5572 6 жыл бұрын
A set S is said to be closed if it contains every limit point of S. A set S is said to be open if complement of S is closed.
@learnmatheasily
@learnmatheasily 6 жыл бұрын
even this is corrcect. we can approach the concept in many different ways, whatever you have mentioned some authors use it as theorems.
@shadabhussain5572
@shadabhussain5572 6 жыл бұрын
@@learnmatheasily I am agree with u mam.
@learnmatheasily
@learnmatheasily 6 жыл бұрын
thank u
@anuragmishra1691
@anuragmishra1691 6 жыл бұрын
A set {1,-1,3/2,-3/2,4/3,-4/3 ......} Is closed or open pls solve this question.
@dikshitkalita4107
@dikshitkalita4107 5 жыл бұрын
it is not a open set
@lakahyasahu1594
@lakahyasahu1594 5 жыл бұрын
Mem limit and limit point me difference kya h
@learnmatheasily
@learnmatheasily 5 жыл бұрын
Limit points kisi ke bhi ek se jyada ho sakte he but limit agar exist karegi to hamesha unique hi hogi
@mochirahul3962
@mochirahul3962 6 жыл бұрын
So mem set q is open set ?
@learnmatheasily
@learnmatheasily 6 жыл бұрын
No
@mochirahul3962
@mochirahul3962 6 жыл бұрын
Thank you Mem and mem open set is called nbhd ... sometimes
@learnmatheasily
@learnmatheasily 6 жыл бұрын
Mochi Rahul if a set is nbhd of each of its points then it us called open set
@pritishdevbhoi7638
@pritishdevbhoi7638 6 жыл бұрын
thnk u
@learnmatheasily
@learnmatheasily 6 жыл бұрын
Thanks for your comment
@sachinduhan3022
@sachinduhan3022 5 жыл бұрын
kindly improve upon the camera quality! nice videos! thankx for everything!
@learnmatheasily
@learnmatheasily 5 жыл бұрын
* GOOD BOOKS FOR REAL ANALYSIS* I got so many comments about good books of Real Analysis. I found some good books that i follow. But please you purchase any book by taking your own decisions. Books are as follows: Introduction to Real Analysis 4 Edition (English, Paperback, Robert G. Bartle, Donald R. Sherbert) fkrt.it/c4paxKNNNN Introduction to Real Analysis, 7th Edition (ENGLISH, Paperback, S.K. MAPA) fkrt.it/fQqgsnuuuN Real Analysis 4/e PB (English, Paperback, Royden H L) fkrt.it/c41gqKNNNN IGNOU MTE-9 Real Analysis (Paperback, Expert Panel of Neeraj Publication) fkrt.it/cPKcBKNNNN Real Analysis (English, Paperback, Karunakaran) fkrt.it/cDqhOKNNNN
@anchaljaiswal.cutegirl2776
@anchaljaiswal.cutegirl2776 2 жыл бұрын
🙏🙏
@learnmatheasily
@learnmatheasily 6 жыл бұрын
@Aniket Goswami goswami ..watch this video kzbin.info/www/bejne/p3bHnHqQg5ZooKc
@satyamdubey7714
@satyamdubey7714 5 жыл бұрын
Mam bounded above and bounded below ka condition smjhaiga
@learnmatheasily
@learnmatheasily 5 жыл бұрын
Check playlist of the concerned topic
@rahulsinghania3204
@rahulsinghania3204 6 жыл бұрын
can you make a video taking more examples ?
@learnmatheasily
@learnmatheasily 6 жыл бұрын
Rahul Singhania sure
@learnmatheasily
@learnmatheasily 6 жыл бұрын
I got so many comments about good books of Real Analysis. I found some good books that i follow. But please you purchase any book by taking your own decisions. Books are as follows: Introduction to Real Analysis 4 Edition (English, Paperback, Robert G. Bartle, Donald R. Sherbert) fkrt.it/c4paxKNNNN Introduction to Real Analysis, 7th Edition (ENGLISH, Paperback, S.K. MAPA) fkrt.it/fQqgsnuuuN Real Analysis 4/e PB (English, Paperback, Royden H L) fkrt.it/c41gqKNNNN IGNOU MTE-9 Real Analysis (Paperback, Expert Panel of Neeraj Publication) fkrt.it/cPKcBKNNNN Real Analysis (English, Paperback, Karunakaran) fkrt.it/cDqhOKNNNN
@shaheensuhail371
@shaheensuhail371 4 жыл бұрын
An example of an open set which is not interval
@seeeverything...2588
@seeeverything...2588 5 жыл бұрын
Ma'am ab kia kr rhi h ap study m😊
@learnmatheasily
@learnmatheasily 5 жыл бұрын
No. Teaching
@seeeverything...2588
@seeeverything...2588 5 жыл бұрын
Qualification kia h apki😊🤔
@sudhirtrivedi3279
@sudhirtrivedi3279 5 жыл бұрын
Mam plz explain singleton is open in discrete but not open in R
@learnmatheasily
@learnmatheasily 5 жыл бұрын
I think I did that in metrics , check playlist
@sudhirtrivedi3279
@sudhirtrivedi3279 5 жыл бұрын
@@learnmatheasily thxs for ur reply mam...ur explanation was excellent...
@Learnbyhimanshi123
@Learnbyhimanshi123 6 жыл бұрын
Can u solve these ex in proper way
@learnmatheasily
@learnmatheasily 6 жыл бұрын
Can u plz guide me which way is proper way ?
@shreeshyam3551
@shreeshyam3551 4 жыл бұрын
@@learnmatheasily 😆😀
@shreeshyam3551
@shreeshyam3551 4 жыл бұрын
Good
@soniasaini7238
@soniasaini7238 5 жыл бұрын
Ma'am video are v good but not clear. I couldn't understand what was written.
@kuldeepsaini8924
@kuldeepsaini8924 5 жыл бұрын
Intersection ka bi banaye mam open interval me
@purusottamsabar9871
@purusottamsabar9871 4 жыл бұрын
Mam ur lecture is good but letters are not clearly visible
@satyamkumarpatel8644
@satyamkumarpatel8644 4 жыл бұрын
Mam par asa kyun nahi kehete ki " a set is open iff it's compliment is closed "
@learnmatheasily
@learnmatheasily 4 жыл бұрын
Kyunki maine closed set open set ke baad karaya tha
@satyamkumarpatel8644
@satyamkumarpatel8644 4 жыл бұрын
Ok mam me dekh lunga
@satyamkumarpatel8644
@satyamkumarpatel8644 4 жыл бұрын
Sorry
@satyamkumarpatel8644
@satyamkumarpatel8644 4 жыл бұрын
Bina dekhe puch liya
@bhupenderjhorda6677
@bhupenderjhorda6677 4 жыл бұрын
Mam your teaching method is very good, But plz improve your video quality.....
@learnmatheasily
@learnmatheasily 4 жыл бұрын
Ok
@bulbuljangid2433
@bulbuljangid2433 6 жыл бұрын
Cemra acha use me lo mam...
@learnmatheasily
@learnmatheasily 6 жыл бұрын
Ok
@bulbuljangid2433
@bulbuljangid2433 6 жыл бұрын
Mam clear pic nhi dekh rhi
@bulbuljangid2433
@bulbuljangid2433 6 жыл бұрын
Zoom v kro ..or hindi translate v thoda plz
@learnmatheasily
@learnmatheasily 6 жыл бұрын
@@bulbuljangid2433 ye thoda pursna video he. Try karo
@learnmatheasily
@learnmatheasily 6 жыл бұрын
@@bulbuljangid2433 pura hindi me hi to baat kar rai hu
@armansk268
@armansk268 5 жыл бұрын
[-infinity,+infinity] ye to defined hi nehi hota infinity ko to hum box main likh hi nabi sakte
@learnmatheasily
@learnmatheasily 5 жыл бұрын
Ye set of real numbers he
@Swastik_p
@Swastik_p 6 жыл бұрын
7 example ko please solve kijiye
@learnmatheasily
@learnmatheasily 6 жыл бұрын
Plz mention time of the video
@therock-rn9rr
@therock-rn9rr 6 жыл бұрын
Video quality theek kro maam
@learnmatheasily
@learnmatheasily 6 жыл бұрын
Check latest videos
@ridheesingh7968
@ridheesingh7968 5 жыл бұрын
Intersection of open set is not open
@veenasahu1738
@veenasahu1738 6 жыл бұрын
Suppose krk nai samjhaye h
@mohangupta4747
@mohangupta4747 6 жыл бұрын
I didn't understand properly
@learnmatheasily
@learnmatheasily 6 жыл бұрын
Mohan Gupta ok. Whare u have doubt ???
@mohangupta4747
@mohangupta4747 6 жыл бұрын
Learn Math Easily I didn't get nieborhood series also
@mohangupta4747
@mohangupta4747 6 жыл бұрын
Learn Math Easily Mam I have a problem of a topic The order of completeness property
@mohangupta4747
@mohangupta4747 6 жыл бұрын
Dear mam Can I contact you by mail plz I am last year student and I have some doubts In Set and sequence topic
@learnmatheasily
@learnmatheasily 6 жыл бұрын
Mohan Gupta plz check the channel. I have already uploaded that topic.
@alirazaali2978
@alirazaali2978 6 жыл бұрын
Bilkul smj nhi aeeee
@learnmatheasily
@learnmatheasily 6 жыл бұрын
Ok. No problem
@jeebansethy3561
@jeebansethy3561 5 жыл бұрын
Words are not clearly visible
@mdnawazishalam6100
@mdnawazishalam6100 6 жыл бұрын
Well done
@learnmatheasily
@learnmatheasily 6 жыл бұрын
* GOOD BOOKS FOR REAL ANALYSIS* I got so many comments about good books of Real Analysis. I found some good books that i follow. But please you purchase any book by taking your own decisions. Books are as follows: Introduction to Real Analysis 4 Edition (English, Paperback, Robert G. Bartle, Donald R. Sherbert) fkrt.it/c4paxKNNNN Introduction to Real Analysis, 7th Edition (ENGLISH, Paperback, S.K. MAPA) fkrt.it/fQqgsnuuuN Real Analysis 4/e PB (English, Paperback, Royden H L) fkrt.it/c41gqKNNNN IGNOU MTE-9 Real Analysis (Paperback, Expert Panel of Neeraj Publication) fkrt.it/cPKcBKNNNN Real Analysis (English, Paperback, Karunakaran) fkrt.it/cDqhOKNNNN
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