The motivation for my question is as follows:

One of my favorite mathematics writers of all time is the great Paul Halmos.

In a brief note he wrote about writing mathematics, he said: "The best notation is no notation."

I think this really shines through in his writing, and adds a rarefied level of clarity.

Here are a couple examples from the first few pages of his Measure Theory book:

A topological space is a set X and a class of subsets of X called the open sets of X such that the class contains 0 and X and is closed under the formation of finite intersections and arbitrary (i.e. not necessarily finite or countable) unions.

A transformation T from a topological space X into a topological space Y is continuous if the inverse image of every open set is open, or, equivalently, if the inverse image of every closed set is closed.

One could (and many authors do) equivalently formulate the two definitions above using symbols. However, I much prefer the clarity provided by describing things with words whenever possible.

So my question is, are there any other mathematics authors who you have found to adhere to this principal? i.e., textbooks or papers that have a great level of clarity, where jargon and unnecessary notational baggage is avoided?

Edit: I now realize I should've phrased the last sentence differently. Yes indeed, explaining mathematics requires the use of jargon and/or notation. I think I meant to say something like "minimal jargon," or otherwise just clear prose in general.

In Don Knuth's course notes on Mathematical Writing, he makes a similar point. Namely, he advises only using notation where it adds clarity to what you want to say, not because it makes it more technical or precise or something like that. In many cases, notation saves space without sacrificing clarity, but not always; sometimes it is clearer to use English at the cost of a marginal increase in space. (Actually, I can't find the exact reference to this point in his notes, so it may have been from a lecture corresponding to the notes--they're all on YouTube)