I have started reading measure theory and encountered a topic Hausdorff measure. I find this topic quite interesting. However, some texts that I am going through Rudin and Folland are too formal and I want to avoid mathematical technicalities for the time being.
Can you please recommend some texts, a bit informal and intuitive in this regard.
Edit Honestly, I find it very difficult to follow Rudin, and Folland, a kind of preparation, not enjoying at all. Some books that I have are heavily emphasized on Lebesgue Measure. Whatever I am left with are too obsessed with set theoretic treatment (P. R Helmos). I really want to learn this subject and apply it in various mathematical machinery. For that thing I first need to learn why? what? How? informally. Please help me!!! I may sound dull, you may can down vote this. If possible, close this too. But please help me with this subject (by suggesting me a bit stimulating text, Some lecture series will be nice too).
Best Answer
I recommend Stein and Shakarchi's volume on real analysis, including measure theory and integration as an alternative to Folland or Rudin, both of which are great books in their own right. Stein's technical writing is second to none. This volume in particular includes a chapter on Hausdorff measure and fractals.
Google scholar reference: