The copyright page is usually located on the back of the title page. It will state the year of publication, as well as the edition and printing. If there are just the years of copyright, then the book in question is likely the first hardcover printing.
Compare your book to other editions.
If you have access to other editions of the same book, you can compare the physical appearance of the books to determine the edition and printing. Look for differences in the cover design and paper quality.
Check the publisher's website.
The publisher's website may have information about the different editions and printings of a book.
Contact the publisher.
If you are still unsure about the edition and printing of your book, you can contact the publisher directly and inquire about the specific details.