This book is a user-oriented presentation of how to solve polynomial systems using the Bertini software package. It describes the algorithms in detail and includes a complete users manual.
Our earlier book describes in detail the mathematics underlying numerical algebraic geometry as well as describing the state-of-the-art techniques as of 2005.
The exercises of the book refer to our HomLab suite of Matlab routines. That code is now outdated, but it is still available on the Software page of this website.