Yes! You can go to your Leanpub library here: https://leanpub.com/user_dashboard/library.
When you buy your first Leanpub book, we create an account for you so that you can always access the latest version of every book you buy.
After your first purchase, we will email you with download links for the book. The download links in the email will always point to the latest version of the book.
The email will also have a link to the Leanpub library for your new account.
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Interested in creating your first Leanpub book? Here are some quick tutorials for our most popular writing modes: http://help.leanpub.com/en/articles/3088382-quick-walkthroughs-for-getting-started-on-a-leanpub-book