I second that. I have cousins that are younger who can’t look up from a screen. They have no thought process, walking around like a bunch of mindless zombies.What a time to be alive...before sex, drug, rock n roll, smartphones, social media, etc reduced youth's average attention span to the level worse than a gold fish's.
I don't disagree, but it depends on the target audience.Anything except Rudin.
How would you compare and contrast Rudin versus the others?
Why then, does Rudin get recommended?
LOL; those guys are younger than I am. It is never too late to change your ways.
Riemann sums .. nice that it is essentially the Euler method. And it is computable.You live in Europe. I don't think you know how ossified US universities have become over the last few decades. In subjects like real analysis, complex analysis, linear algebra, and perhaps abstract algebra often the same texts and the same lectures are being employed as they were forty years ago. Again, don't get me wrong: I'm enamored of some old texts. In complex analysis, for example, I particularly like the texts by Whittaker and by Copson as they explain what the complex integral is in terms of Riemann sums (something most modern books adroitly elide over). But departments are still using Ahlfors after half a century?
If you just wanna study the stuff(no certification), there are some lecture videos posted on youtube by Haverford and other colleges. In terms of the preq, you should be familiar with the mathematical notations and some basic proof logics. Basically, the video will cover materials up to chap 6 in Rudin, which will be basic topology, sequence and series convergence, continuity, differentiation and Riemman-Stieltjes integral. Yet, I haven't seen any video covered uniform convergence, Weinstrass theorem and Lebesgue theory, which is from chap 7 - 11 in Rudin. So probably, you have to study those stuffs by yourself(those are the core materials of baby analysis).