Finite element method books I know this question has been asked before; I just want to enquire if anybody has any suggestions to learn how to compute finite element problems, including plenty of examples.
The topics I would like to focus in are as follows:
Introduction to finite elements for 1D and 2D problems covering: 


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*weak formulation

*Galerkin approximation

*Shape functions

*Isoparametric elements


Key examples with walkthrough of common problems such as:


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*Applying to heat equation

*Applying to beam equation

*Eigenvalue Problems

*Nonlinear Problems


Any recommendations would be sincerely appreciated (and happy new year!)

A good introductory book is "Understanding and implementing the finite element method" from Mark S. Gockenbach. Some of your listed examples are covered by implementations of the method.
