Lol, it's a plus. His first book is my favorite math book. Though, I gotta say his second book "Complex and Real Analysis" was impossible for me to read. I found Folland's book easier to follow.
The first book only the first part its good, some others chapters are there no one say why I don't like measure in folland too much stringhed If Italian it's not a problem Soardi - Analisi Matematica it's a better Rudin To me much easier to say that we want to build a 1.) measure that is an extension of the normal one to all subsets of R. 2.) its invariant for traslations 3.) it's countable subaddittive Folland says this bad Measure better Royden or Zygmund or even Rudin Real and Complex
He really enjoys math. I love how he smiles after he talks about something he finds interesting. I've seen so many people who are so jaded by math, this is a breath of fresh air.
I got tired of math with five years of algebra where it started in fifth grade (In fifth grade I was in sixth grade, I skipped a grade,) then sixth grade (I decided to hold back a year after skipping to be with friends) then seventh, eighth, freshman year and junior year of high school. I have no clue why the school system I was in thought everybody needed so much algebra with a lot of it being repetitive. Why not just calculus after trig and trig as the freshman year course? In college it is the same thing with calc. First precalc, then single variable derivatives, followed by integrals and series, then multivariable, then derivatives and integrals of vectors, two classes, then partial and ordinary differential equations, two years. Its like three years of calc altogether.
Because the general public needs knowledge of algebra but don’t need knowledge of calculus or beyond. People are not interested in these subjects like you and I. But if the dumber part of the population doesn’t learn these basic math concepts, they make poor life choices due to low math literacy. I know many adults who cannot add fractions or take 20% of a bill. It’s sad.
I was over the moon to watch RUDIN as I own his book Mathematical Analysis since 1962! However, I was thrilled to see Prof D Patil (introducing RUDIN) who was my professor in Mumbai teaching Pure Mathematics in the late 50’s and early 60’s and who I knew personally. I wonder if it is possible to contact him and convey my gratefulness
@ReligionsFakten If he was an undergrad in 1962, he was probably 18 or 19 then. That makes him 80 when he typed that comment. Not impossible to be alive. But to see that he's watching a lecture on YT and is able to recall his memories, now that is something.
Simply fascinating... I had no idea set theory evolved from Analysis like this! What a wonderfully planned and presented talk! Will treasure this link.
I bought "analyse complexe" of Rudin in french translated more than 20 years ago.... But each time i see the book in my library i tell myself: i will read Rudin analysis book next time.... Passed this time i forget all my resolution.. Again i ask myself hé when can i read it....?
Props to you for being able to read his second and third book. The leap in "mathematical maturity" from the first to the second book was too big for me to follow. His first book was awesome though.
Yes . His book on functional analysis has an exercise that you have to use a trick to solve. I had to correct the exercises of students and I could not solve it myself so i had to ask for help. It taught me a lesson. It's a pity I cannot remember the exercise and don't have the book. It happened in another life of mine. Things got different. I got married and I would have to use maths in my jobs, but out of the academia. He is a very nice guy.
+Government Higher Secondary School Nagpur That is so true, when i study his Real and Complex Analysis Textbook. its like im in an actual lecture, and his Mathematical Analysis, Real Analysis Textbooks i will always have on my bookshelf.
Fourier DID prove the theorem, in the special case that f(x) is given by a power series. He showed that the trig series using the convergent power series will reproduce the original power series.
Is there a transcript of this talk that you could post on your RUclips page? It's a wonderful talk and there are just a few places that I can't quite catch what he is saying and a transcript would be very helpful.
I'm going through the early chapters right now... Loving it... Helps you to recall and reinforce your understanding of fundamentals from Discrete Math (Abstract Algebra Set and Number Theory, Topology) and the Calculus we learned in sr. high school and sr. college Math... I'm noticing as you progress you combine Calculus with Linear Algebra and Calculus with Abstract Algebra (still the hardest branch by far just like most of my bright boomer gen. math teachers stated)...
@Sumit Sah That book is written by a shallow mind for childish minds, it in itself trying to force the smug purism of Rudin's own biased logic and his own particular system of cultish tautologies as a farce for a severe lack of intimate understanding of mathematical analysis. I understand exactly what Richard Courant means now by indoctrination. I also understand now why mathematics majors tend to have lower I.Q.s than their theoretical physics peers, I never understood why at first, now I do.
To be clear, for more analysis biased texts compared to Richard Courant's and Fritz John's two volumes, Terrence Tao's treatment (a genius with influential contributions) of analysis is far superior.
@@subhrajitdasgupta3868 I've come to appreciate Rudin's slick style after I got more comfortable with proofs, but I would not recommend it as an introduction to analysis style arguments. For that I like to push Spivak lol
I'm grateful to hear from Walter Rudin in lecture form but I can't help but make a meme of this. Rudin: So I've been told there are a lot of non-mathematicians in the audience and that I'm only limited to writing one equation. *Writes down the wave differential equation* Layman Audience: :I *Proceeds to write down Fourier series expansion without defining/breaking down the symbols:* Layman Audience: :( This lecture is a good recap of real analysis for people already familiar with Fourier series but not good for a laypeople audience. In terms of presentations I've seen of mathematicians presenting to laypeople - Michael Atiyah's presentation for his attempted proof of the Riemann Hypothesis was better. He actually spelled out that "analytic" means the function can be represented as a power series which is an infinite long polynomial - now pray tell he could elaborate on what polynomial is but I saw a good attempt there. Pray tell I did skim through this video a bit on key portions so maybe upon hearing the whole thing I might not be judging Rudin's presentation skills fairly but these are my thoughts.
This lecture is more historical the mathematical. Mathematicians don't pay much attention to history they name theories after someone and sometimes they have call something to do with it and sometimes they do not. They never go to the first time sources they usually read up on the second or third. You can't write about it unless you understand it.
I bought "analyse complexe" of Rudin in french translated more than 20 years ago.... But each time i see the book in my library i tell myself: i will read Rudin analysis book next time.... Passed this time i forget all my resolution.. Again i ask myself hé when can i read it....?
My favorite analysis book as a student was "real and complex analysis" by Rudin. My math. professor always recommended Rudin's book(s). Nice to see him working.
Neither real analysis nor set theory are to be called mathematics because mathematics is the abstract science of measure and number. Georg Cantor is the father of all mainstream mathematics cranks.
I think his main goal in his analysis texts was to save trees.
Funny, but not true
Relatable...deep 😄
Lol, it's a plus. His first book is my favorite math book. Though, I gotta say his second book "Complex and Real Analysis" was impossible for me to read. I found Folland's book easier to follow.
The first book only the first part its good, some others chapters are there no one say why
I don't like measure in folland too much stringhed
If Italian it's not a problem Soardi - Analisi Matematica it's a better Rudin
To me much easier to say that we want to build a 1.) measure that is an extension of the normal one to all subsets of R.
2.) its invariant for traslations
3.) it's countable subaddittive
Folland says this bad
Measure better Royden or Zygmund or even Rudin Real and Complex
Maybe he stopped wasting paper, because he realised he couldn't construct the real numbers.
Rudin quotation:'When I say people I mean Mathematicians'
answer to Rudin: When we say you are right we mean wrong............................
since every one means what he wants...
He really enjoys math. I love how he smiles after he talks about something he finds interesting. I've seen so many people who are so jaded by math, this is a breath of fresh air.
I love math as well
I got tired of math with five years of algebra where it started in fifth grade (In fifth grade I was in sixth grade, I skipped a grade,) then sixth grade (I decided to hold back a year after skipping to be with friends) then seventh, eighth, freshman year and junior year of high school. I have no clue why the school system I was in thought everybody needed so much algebra with a lot of it being repetitive. Why not just calculus after trig and trig as the freshman year course?
In college it is the same thing with calc. First precalc, then single variable derivatives, followed by integrals and series, then multivariable, then derivatives and integrals of vectors, two classes, then partial and ordinary differential equations, two years. Its like three years of calc altogether.
Because the general public needs knowledge of algebra but don’t need knowledge of calculus or beyond. People are not interested in these subjects like you and I. But if the dumber part of the population doesn’t learn these basic math concepts, they make poor life choices due to low math literacy. I know many adults who cannot add fractions or take 20% of a bill. It’s sad.
Rudin starts at 5:32
They should pin this comment
Great talk by a great man. A real treasure to see someone like this lecturing. Thanks for posting.
To learn Real Analysis from Rudin himself -the man who wrote the definitive text book- is something truly special.
I was over the moon to watch RUDIN as I own his book Mathematical Analysis since 1962! However, I was thrilled to see Prof D Patil (introducing RUDIN) who was my professor in Mumbai teaching Pure Mathematics in the late 50’s and early 60’s and who I knew personally. I wonder if it is possible to contact him and convey my gratefulness
How do you know that any of these persons are still alive?
@@ReligionsFakten Less than a decade ago -- hence, try.
Anyone still associated with a major university is open to hearing from a former student.
@ReligionsFakten If he was an undergrad in 1962, he was probably 18 or 19 then. That makes him 80 when he typed that comment. Not impossible to be alive. But to see that he's watching a lecture on YT and is able to recall his memories, now that is something.
Simply fascinating... I had no idea set theory evolved from Analysis like this! What a wonderfully planned and presented talk! Will treasure this link.
Is that you Udita?
@@mathsalil yes
I didn’t understand what he said because the sound is not good
@@jameyatesmauriat6116there's an automatic english subtitle from the direct setting if you're wondering
How come nobody introduced the guy who introduced the guy who introduced the lecturer?
Because that guy is the axiom. He needs no introduction, he just exists.
Sore loser to andrew wiles?
He was the limit pointy-head of the open set.
It's mathematicians all the way down.
Because 0 is not a succesor of any number
This man is a legend.
I love his Analysis textbooks, great teacher!
He's very intelligent... One of the best. Lars Ahlfors, John Von Neumann and Lev Landau are also great mathematician/physicists...
I bought "analyse complexe" of Rudin in french translated more than 20 years ago.... But each time i see the book in my library i tell myself: i will read Rudin analysis book next time.... Passed this time i forget all my resolution.. Again i ask myself hé when can i read it....?
Props to you for being able to read his second and third book. The leap in "mathematical maturity" from the first to the second book was too big for me to follow. His first book was awesome though.
Yes . His book on functional analysis has an exercise that you have to use a trick to solve.
I had to correct the exercises of students and I could not solve it myself so i had to ask for help.
It taught me a lesson. It's a pity I cannot remember the exercise and don't have the book.
It happened in another life of mine. Things got different. I got married and I would have to use maths in my jobs, but out of the academia.
He is a very nice guy.
He is a man of clarity ! This is reflected in his analysis textbook!
His "baby Rudin" is interesting, but his lecture is also very interesting too! Thank you for uploading this.
Principles of Mathematics, the one from '76 is excellent and covers the material in a lot of depth...
This lecture is a gem!!
Such a master, thank you for your legacy sir!
Walter Rudin was great mathematician, his textbooks are great.
Walter Rudin kinda people never dies, he is alway alive in his textbooks.
+Government Higher Secondary School Nagpur That is so true, when i study his Real and Complex Analysis Textbook. its like im in an actual lecture, and his Mathematical Analysis, Real Analysis Textbooks i will always have on my bookshelf.
@@dr.leonardhofstadter5866 can you tell me about book
This was fascinating. Thanks for the upload.
I’ve read Rudin’s words, but this is the first time I listen to them
Fourier DID prove the theorem, in the special case that f(x) is given by a power series. He showed that the trig series using the convergent power series will reproduce the original power series.
A great guy. The way he uses chalk talks about him (didn't feel like writing an essay on him)
Is there a transcript of this talk that you could post on your RUclips page? It's a wonderful talk and there are just a few places that I can't quite catch what he is saying and a transcript would be very helpful.
10:40 I have seen this equation for the first time in my life 10 minutes before watching this video by a complete chance :)
Arek Krolak do not underestimate Google’s power...
Prof. Beder looks a lot like Tobias Funke here.
Wonderful Book written by him, Principle Of Mathematical Analysis
I'm going through the early chapters right now... Loving it... Helps you to recall and reinforce your understanding of fundamentals from Discrete Math (Abstract Algebra Set and Number Theory, Topology) and the Calculus we learned in sr. high school and sr. college Math... I'm noticing as you progress you combine Calculus with Linear Algebra and Calculus with Abstract Algebra (still the hardest branch by far just like most of my bright boomer gen. math teachers stated)...
+excalibur2112 Very weird to have taken Topology before Analysis...
@Sumit Sah
That book is written by a shallow mind for childish minds, it in itself trying to force the smug purism of Rudin's own biased logic and his own particular system of cultish tautologies as a farce for a severe lack of intimate understanding of mathematical analysis. I understand exactly what Richard Courant means now by indoctrination.
I also understand now why mathematics majors tend to have lower I.Q.s than their theoretical physics peers, I never understood why at first, now I do.
To be clear, for more analysis biased texts compared to Richard Courant's and Fritz John's two volumes, Terrence Tao's treatment (a genius with influential contributions) of analysis is far superior.
@@analysis-sb4ri lol
Great lecture by Great Mathematician.
It's the legend himself !
Rudin was from Vienna , Austria.
The architect of many beginning mathematics students' misery.
Tsz Chung Ho nice
hadd
Rudin's book is compact and the way he gives the proof of the theorems is really elegant and different from others.
Start with Baby Rudin. Not the big one. Who does, other than, say, Terence Tao?
@@subhrajitdasgupta3868
I've come to appreciate Rudin's slick style after I got more comfortable with proofs, but I would not recommend it as an introduction to analysis style arguments.
For that I like to push Spivak lol
I'm grateful to hear from Walter Rudin in lecture form but I can't help but make a meme of this.
Rudin: So I've been told there are a lot of non-mathematicians in the audience and that I'm only limited to writing one equation.
*Writes down the wave differential equation*
Layman Audience: :I
*Proceeds to write down Fourier series expansion without defining/breaking down the symbols:*
Layman Audience: :(
This lecture is a good recap of real analysis for people already familiar with Fourier series but not good for a laypeople audience. In terms of presentations I've seen of mathematicians presenting to laypeople - Michael Atiyah's presentation for his attempted proof of the Riemann Hypothesis was better. He actually spelled out that "analytic" means the function can be represented as a power series which is an infinite long polynomial - now pray tell he could elaborate on what polynomial is but I saw a good attempt there. Pray tell I did skim through this video a bit on key portions so maybe upon hearing the whole thing I might not be judging Rudin's presentation skills fairly but these are my thoughts.
This lecture is more historical the mathematical. Mathematicians don't pay much attention to history they name theories after someone and sometimes they have call something to do with it and sometimes they do not. They never go to the first time sources they usually read up on the second or third. You can't write about it unless you understand it.
Thanks for Upload
After seeing the vedio when I read his book it seems I listen to Rudin in every page
rudolph langer book?????? name please
Thank you for uploading this video, in which I can watch demigod of math speak.
I love this!!
that's a crazy gaze If I've ever seen one (Prof. Dattatraya's)
Here is a cool fact concerning Walter Rudin: he lived in a house that Frank Lloyd Wright designed -- en.wikipedia.org/wiki/Walter_Rudin_House
I bought "analyse complexe" of Rudin in french translated more than 20 years ago.... But each time i see the book in my library i tell myself: i will read Rudin analysis book next time.... Passed this time i forget all my resolution.. Again i ask myself hé when can i read it....?
and have you come to read it?
My favorite analysis book as a student was "real and complex analysis" by Rudin. My math. professor always recommended Rudin's book(s). Nice to see him working.
"You're giving a talk for non-mathematicians."
"Can I use differential equations?"
When we read some book of math we imagine the personality of his writer! Who find his imagination true..!!?
What ?
Thanks for share! :)
Great lecture
Thank you for your reply.
Gracias por este vídeo.
Was the first guy Micromachines Guy?
When was this recorded?
1990
Please to hear from legend Rudin
It is difficult to see from this blackboard!!..i guess the camera is a bit far ..
It was 1990 not 2016.
Baby Rudin is the book, there is not better
Little did they know the mastery of Rust in Peace was on its way.
이 사람이 그 책을 쓴 Rudin 이로구만!!!
what year was this lecture given/how dated is it?
It was in 1990
+Artur Steiner you are a great man my friend, thanks
Maestro.
Many people attending the lecture aren't mathematicians, so only use the Schroedinger's Equation for simplicity.
Bob Ross of mathematics
What is the obsession with time?
Legend
"Transcendental numbers powered by Cantor's infinities" ~ Mathologer
ruclips.net/video/3xyYs_eQTUc/видео.html
Oh my gosh, it's Tobias Funke!
❤❤❤
❤️
I guess this is grandpa Rudin.
OMG, This is the Rudin that has me suffering. Just kidding, I love his book even though it's insanely difficult.
Neither real analysis nor set theory are to be called mathematics because mathematics is the abstract science of measure and number.
Georg Cantor is the father of all mainstream mathematics cranks.
😑
Mr. Baby Rudin
Is This is the same rudin that lost miserably to andrew wiles in the race to prove fermat's last theorem and proved to be a sore loser ?
Got a bone with Rudin?
@@anotheryoutuberperson38 boner :)
where did you get that from?
He ended before the embarrassing part for mathematics, when Bertrand Russell showed set theory was inconsistent, and it all comes crashing down.
This guy has horrible books