Reddit mentions of The Elephants of Style : A Trunkload of Tips on the Big Issues and Gray Areas of Contemporary American English

I do some science writing in addition to academic scientific writing. The main part is to know what to leave out. Does it matter EXACTLY what experiments the researchers did? No. It matter's what they found (and that they actually found what they're saying they found).

Don't make long meandering sentences with a bunch of conjunctions and parenthetical phrases. Those are hard to read. Your readers are going to be reading very fast and if they get lost, they are going to stop and move on to something else. Don't lose your readers. You also have to know what they know. Can you just say polymers or do you have to explain what a polymer is? This is important.

Use active voice. None of that passive voice in science bullshit (unless that sentence calls for it). Use exciting verbs. Don't rely on a thesaurus. The reader will know.

If you like I'd be glad to read one of your pieces and give it a critique. Here are some good books to read if you're serious about getting into science writing.

Narrative Nonfiction--very popular now

Science Writer's Handbook

Fieldguide for science writing

Style book--not about science but needed for good writing, and it's funny

I'd suggest reading well-regarded and well-edited publications and pay attention to the structure of the language and the punctuation. How language is used in context is going to be your best guide. For more in-depth reading about actual language, I consider Garner's indispensable. Also a big fan of Steven Pinker, though it's a little heavy and can be controversial. Anything by Bill Walsh is worth reading if you're interested in writing well.