Preface, p. xiii Chapter One. An Introduction to the Use of Finite Element Procedures, p. 1 Chapter Two. Vectors, Matrices, and Tensors, p. 17 Chapter Three. Some Basic Concepts of Engineering Analysis and an Introduction to the Finite Element Method, p. 77 Chapter Four. Formulation of the Finite Element Method -Linear Analysis in Solid and Structural Mechanics, p. 148 Chapter Five. Formulation and Calculation of Isoparametric Finite Element Matrices, p. 338 Chapter Six. Finite Element Nonlinear Analysis in Solid and Structural Mechanics, p. 485 Chapter Seven. Finite Element Analysis of Heat Transfer, Field Problem, and Incompressible Fluid Flows, p. 642 Chapter Eight. Solution of Equilibrium Equations in Static Analysis, p. 695 Chapter Nine. Solution of Equilibrium Equations in Dynamic Analysis, p. 768 Chapter Ten. Preliminaries to the Solution of Eigenproblems, p. 838 Chapter Eleven. Solution Methods for Eigenproblems, p. 887 Chapter Twelve. Implementation of the Finite Element Method, p. 979 References, p. 1013 Index, p. 1029.