A friend of mine who's into psychology recommended the book The Female Brain by Louann Brizendine, and I recently finished it. It was nice that the audio version was read by the author, and I found it to be a nice overview of the anatomy of the female brain and the resulting psychological implications. I've heard from other experts that some of the book's claims may not be 100% scientifically validated, so I took a lot of it with a grain of salt. I thought its perspective and focus on the role of hormones in guiding female behavior was really interesting nonetheless.
I'm always interested in learning more about people different than me, and I often find that women are so hard to understand and so different from us men. So books like these are always helpful in giving me new ways to understand the other half of the population.
Given the strong role of hormes that the book focuses on, I've thought about the usefulness to society of a visual indicator so that both women and the men they interact with know what day in a woman's cycle she is currently on (and have it be colored red if it's a "keep away" day and or green if it's a "happy" day). Yes, this is probably a somewhat farfetched idea, but the more we can understand about each other's context or mood, the better we can talk and negotiate with each other.
My notes on the book are below.