I'm in search of a mathematical analysis text that covers at least the same material as Walter Rudin's Principles of ... but does so in much more detail, without relegating the important results to the exercises, contrary to what Rudin does. Which one is it, if any?
Do the mathematics students at places like the MIT, Harvard, or UC Berkeley, where Rudin is used, cover this textbook fully, solving each and every problem? If not, then how much of it is taught and in what detail? Is there any university where this book is covered fully in their analysis courses?
Can I access any video lectures based on Rudin?
Is there any TV channel dedicated to higher level mathematics?