Product management is an evolving field. These are books I've found useful as a product manager and I hope you will too.
Making it Right - Product Management for a Startup World
Read this if... you want a thorough overview of the theory and practice of product management, with an emphasis on startups.
Product Leadership - How Top Product Managers Launch Awesome Products and Build Successful Teams
Read this if... you are or want to become a product leader in your organisation. Its full of advice on building your own team and working with other to realise your product vision.
Strategise - Product Strategy and Product Roadmap Practices for the Digital Age
Read this if... you want an introduction to innovation theory and how to be sure that you're building the right product for the right audience.
Jobs to be Done - A Roadmap for Customer Centered Innovation
Read this if... you want to understand jobs to be done, a model to explore your customers' needs, why they choose one product over another and discover who your true competitors are.
The LEAN Product Playbook
Read this if... you want to understand the LEAN approach to product management.
Designing Products People Love - How Great Designers Create Successful Products
Read this if... you want to understand the history of product design and get a practical overview of the product process.