Former PM here. The Product & Project management jobs vary tremendously by company, and even within a company. Your best bet is to reach out to people who've had similar jobs in the same company and ask them for advice.

That said, I highly recommend The Innovator's Dilemma[0] and Inspired: How to Create Products Customers Love[1]

[0]: http://www.amazon.com/The-Innovators-Dilemma-Technologies-Ma... [1]: http://www.amazon.com/Inspired-Create-Products-Customers-Lov...