The new updates to the phone/tablet app mirrors these same changes. On my Nexus 7, these changes are beautiful to view and a breeze to navigate. Deleting or marking multiple emails is different but not difficult, simply press and hold on a message in the list until it turns blue, do the same for any others and press the mark read option and press select, simple! The good news is that the web app is updated, simply go to settings and select inbox to activate new inbox tabs. The bad news is that Google is taking it's time in pushing out the app update to all devices and even a trip to the Play Store wont help just yet, but keep checking! If you can't wait, a simple Google search will turn up the download you need to get the app.