The text material evolved from over 50 years of combined teaching experience it deals with a formulation and application of the finite element method. A meaningful course can be constructed from a subset of the chapters in this book for a quarter course; instructions for such use are given in the preface. The text material evolved from over 50 years of combined teaching experience it deals with a formulation and application of the finite element method. A meaningful course can be constructed from a subset of the chapters in this book for a quarter course; instructions for such use are given in the preface. Preface. 1. Introduction. 2. Direct approach for Discrete Systems. 3. Strong and Weak Forms for One dimensional Problems. 4. Approximation of Trial Solutions, Weight Functions and Gauss Quadrature for One Dimensional Problems. 5. Finite Element Formulation for One Dimensional Problems. 6. Strong and Weak Forms for Multi Dimensional Scalar Field Problems. 7. Approximation of Trial Solutions, Weight Functions and Gauss Quadrature for Multi Dimensional Problems. 8. Finite Element Formulation for Multi Dimensional Scalar Field Problems. 9. Finite Element Formulation for Vector Field Problems Linear Elasticity. 10. Finite Element Formulation for Beams. 11. Commercial Finite Element Program ABAQUS Tutorials. Appendix. Index.