Adobe may dominate the PDF market on computer desktops, but it has largely left mobile devices like the iPhone and iPad to a range of competitors like the much-lauded GoodReader and Apple’s own iBooks. No more.

Adobe Reader for iOS launched Monday, a universal app for iPhone and iPad, and was announced on Adobe’s corporate blog. The app allows users to view PDF files from email, on the Web, or in any application supporting iOS’s “Open In” function.

The app offers plenty of interactive possibilities, as well. Users can search text, bookmark pages, choose to view pages in “scroll” mode, magnify or reduce text size, and select and copy text from the document being viewed. Documents can also be printed directly from an iOS device, shared with other PDF-capable applications, or emailed as an attachment.

The new app comes just a few months after Adobe started poking its toe into the iOS pond with the launch of CreatePDF, a $10 offering that lets users convert documents originally created in Microsoft Office, OpenOffice, StarOffice.

Unlike that pricey app, Adobe Reader is free. The app is compatible with the iPad, the iPhone 3GS or later, and the third-generation iPod touch or later. It works on devices running iOS 4.2.5 or later.