I felt that way when studying math in college, but after sometime I actually came to like the use of "clearly" and the like as it can be used as a check on whether you've spent enough time internalizing the previous information. It's one thing to have a text or a person hold your hand through algorithms or theorems, it's another to be able to do it yourself. So getting hit with a "clearly" that feels unjustified is often a signal to let go of the guiding hand and go back and review until the statement in question does become clear.
> It’s quite easy to show that the singing time is Θ(n2); in particular,the singer mentions the name of a gift ∑ni=1i=n(n+1)/2times (counting thepartridge in the pear tree).
I'm pretty sure that I still remember how to read the formula and I even know what does Θ(n2) means, but it's still unclear for me how do we get n^2 and this formula from the "NDaysOfChristmas(gifts[2..n]):" example.