Comments on Numerical Solution Of Partial Differential Equations: Finite Difference Methods, 2nd Edition by G.D. Smith, Oxford Press

On the bright side, the text is very well written, in British English, with a few spelling errors. It is quite clear and moderately easy to follow. In addition, the text is full of figures, graphs and worked examples.
On the dark side its second edition, (1977) which I have studied, has no unsolved exercises, problems or any questions to reinforce learning and apply the theoretical techniques. Moreover, the book is not accompanied by any program or source code for tools such as Matlab or Mathematica.
All in all, the book is a success, now in its 3rd edition. Its main readers should be mostly students of mathematics, but not of engineering.