A post on Board Game Designers Forum brought up the topic of books and videos that provide guidance in designing games. This is sort of a response. I will compile what they have from the discussion, along with other things that I am aware of.
A Theory of Fun
Game Design Workshop: Designing, Prototyping, and Playtesting Games
The Game Inventor's Guidebook
Paid to Play: The Business of Game Design
Patterns in Game Design
Rules of Play: Game Design Fundamentals
The Toy and Game Inventor's Handbook
Bruno Faidutti FAQ
William McLean: I've Invented a Board Game, Now What do I do?
Frank Branham: Rules Writing Deutschland Style
David Mullich: From Concept to Contract: Making a Successful Product Pitch
Boardgamegeek Interview with Reiner Knizia
Matt Leacock: Cooperation & Engagement