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Purchased Books

Several e-book markets exist that allow you to purchase books that you can read on both your computer and Android device. The Amazon Kindle and Barnes & Nobel Nook eBook readers also have computer and Android applications. Google Books allows you to read online or through the use of a mobile app. Visit the site of the e-book vendor to purchase books. Search the Android Market for the appropriate application. The mobile apps have you sign in to your account with the e-book vendor so everything can by synced from your computer to your Android device.

Public Domain Books

All of the e-book markets have free books available. Often these books are works that have expired copyrights so the titles have entered the public domain. This means that you can freely download and read the books. One of the major purveyors of public domain titles is Project Gutenberg -- named for the inventor of the printing press. Gutenberg titles can be read online using your Android browser at Gutenberg.org or by logging in to the Gutenberg.org site through an Android app, including the FBReader, which can browse the Gutenberg.org catalog.

Adobe Digital Editions

Far and away the most popular eBook format is the ePub format created by Adobe. Through the ePub format electronic books can be sold, lent and transferred while still protecting the copyright interests of the author and publisher. Open ePub works can be saved to the Android device's SD card in the 'eBooks/import' folder. The free eBook apps OverDrive and Aldiko can read ePub works in that folder. You can download the apps from the Android Market. Some ePub books will require you to authorize a device with an Adobe identification. You can create your Adobe ID at Adobe.com and use it to log in to your mobile app such as OverDrive.

Library Lending

Public libraries are stocking and lending e-books. If your library participates you can read lent eBooks on both your computer and Android device. The OverDrive Media Console -- available at OverDdrive.com -- can download lent books and transfer them to your Android device. You need to have the OverDrive reader on your Android as well as the Media Console on your computer. The lent books will expire at the end of the lending period and be automatically deleted from your computer and your Android. In the same way that physical books are limited, libraries can only lend a certain number of eBooks at a time, so you might have to wait before borrowing a best seller to read on your Android tablet.