Where do I place the authors name in a book report?
In the introductory paragraph of your report, you would make sure to include the title of the book you're reviewing and that book's author. This way, your audience knows exactly which book you're going to be discussing.
Including it in the bibliography at the very end would also be a good idea, as well as professional:
"Give the author's name; full title of book including subtitle; editor, if any; place, publisher and date of publication; edition, if necessary; and the number of pages - all this in bibliographical form under the title of the report." (http://library.concordia.ca/help/howto/bookreports.html#sthash.DUsqdGGN.dpuf)