To send someone your public tracks from your File Library you must first have tracks added to the public section of the library, which can be covered by this Knowledge Base FAQ.
Once logged in head to the file library, by clicking the top right "My Library," button in the menu while you are logged in.
From there click the top right side button that says "My Public Page."
Once on your Public Page copy the URL of the web page from your browser. In Mac, you can do this by right clicking the url information, and clicking "Copy."
You can now paste this link in a message, email, or social media post / blog post to allow anyone who clicks on that link to see your publicly released tracks.