Ok i have 2 tables. A book table with the the primary key book_id and another field called title. And an author table with the primary key author_id and fields first_name,last_name and a foreign key book_id.
Does my design conform to 2NF ?
Generally (and in layman's terms), normalisation at level one means:
For 2NF, you have the extra constraint that every column is dependent on the entire key (directly or indirectly through another non-key column).
So I would say it conforms to 2NF in this case since it meets the criteria for 1NF and the book does depend on the author.
However, it's still not necessarily a good design, especially since you should always start at 3NF, as a general rule. A better solution would be the full blown:
books:
book_id
title
authors:
author_id
name
books_and_authors:
book_id
author_id
That way, you have a many-to-many (including zero) relationship between books and authors.