@reuns I agree that Davenport is quite clear, but your comment doesn't really address the question as far as I see it. I was looking for something more along the lines of where such techniques get employed, outside of the confines of the book itself. If the only utility of an esoteric technique is to prove a theorem, then, the technique in itself, as I see it, is not of very great value, once the said theorem has been proved.

Thanks! I will take a look at them.

@WhatsUp That makes perfect sense. I shall ensure I do not abandon the method completely. Thanks.

@paulgarrett Thank you for the reply regarding my over-interpretation of the Moore-method ideas. I found your succinct explanation of the strategy one must employ while reading material in general quite educational.