This book introduces the fundamental principles of finite element analysis (FEA) for finalyear engineering students. FEA begins with the basics of mathematical and physical modelling, which provide the foundation for representing real-world engineering systems in a computational form. The process starts with the simplest element the discretisation of a continuum into nodes and elements gradually building complexity with the formulation of element stiffness matrices, where relationships between nodal forces and displacements are established. This extends further to the assembly of the global system of equations, integrating all individual elements while considering boundary conditions and material properties