The book introduces the finite element method (FEM) that is one of the most powerful numerical tools these days. FEM is the analysis tool in most of CAD/CAM systems and it is critical to understand FEM for engineering design. It begins with underlying variational calculus and moves to variational/FEM formulations. It covers all basic procedures of assembly and solution procedures in several programming practices. Finally, it introduecs Ansys and Ansys WB software to apply FEM to advanced topics in various areas of engineering.