Other useful resources
http://robertlenne.com/requiredreading/
Universal Design Princples http://www.amazon.ca/Universal-Principles-Design-William-Lid...
Inspired: How to Create Products Customers Love (great for teams) http://www.amazon.ca/Inspired-Create-Products-Customers-Love...
Inspired: How To Create Products Customers Love by Marty Cagan
It's short, well written and covers several visions (product, engineering, etc).
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1. The traditional path
Product management is generally a role that you should take after you have some professional development under you belt. The best product managers I've met were at one time in the engineering/development pit.
That said, the simplest way is to get a job doing design/programming and make sure your employer knows that you'd like to move in that direction and agree that you'll be there in X years. Shadow and work with the PM's at the company.
If they don't move you in to a PM in the time, you can look elsewhere and with a few years of development under your belt you'd have a better chance of getting the management hire.
The key is that you make sure whatever you do, you show leadership and the fact that you're a self-starter.
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2. The startup path
Go work (found) a startup and basically act as the project manager. If the org grows (which is a big if) you'll slowly become that role and hire people around you. If not, you'll have to try again. It's more risky but potentially could get you to a PM role faster.
In the end, I'd recommend you pick up Marty Cagan's "Inspired" http://www.amazon.com/Inspired-Create-Products-Customers-Lov... -- it discusses product management in much more detail.
Inspired: How To Create Products Customers Love (http://www.amazon.com/Inspired-Create-Products-Customers-Lov...) - The best if not only required reading for product management
Peopleware (http://www.amazon.com/Peopleware-Productive-Projects-Teams-S...) - Great read on managing and understanding people as it relates to organizations
Managing Humans (http://www.amazon.com/Managing-Humans-Humorous-Software-Engi...) - Obviously on management, you can read much on this http://randsinrepose.com/, though the book does a great job of consolidating it
http://www.amazon.com/Inspired-Create-Products-Customers-Lov...
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...