There are many limitations in the current methods to solve partial differential equations and mimetics method have been demonstrated in many applications to be produce results consisting with the physics of the problem under investigation. This book provides a robust and general method to solve partial differential equations. Written for graduate students in science and engineering, the book also suitable for advanced undergraduates. It will be a reference for any researcher working in any area where solving PDE's is required. It could also be use as a textbook.