One e-book reader worthy of consideration for your Android tablet is the Amazon Kindle app. As the name implies, it provides access to the Kindle eLibrary of books right there on your Android tablet — the same library you’d have if you owned a Kindle e-book reader, but you were smarter than that.
You can pick up a copy of the Amazon Kindle app free at the Google Play Store.
When you start the Amazon Kindle app for the first time, you may be asked to register or sign in to your Amazon account. Do so. By signing in, you can instantly coordinate your Kindle e-book library with any previous purchases you may have made.
After everything is set up, you can enjoy reading Kindle e-books just as you would any other e-book reader on an Android tablet; they all work basically the same, although some interesting features are available on the Amazon Kindle app that aren’t available on other e-books readers, such as Play Books. For example, you can highlight text and perform web searches in a Kindle e-book. That’s pretty swanky.
Kindle e-books are obtained from the Amazon Kindle store. You must use the Kindle app to access that store to purchase your e-books.
Some tablets may block access to the Amazon Kindle store. Yeah, that’s a cheap shot, but it happens. If you can’t buy Kindle e-books using your tablet, you can always access your Amazon Kindle account on the Internet (probably on a computer) and buy books that way.