[elemeno]

As far as The Algorithm Design Manual and CLRS is concerned I would not say that they are comparable.

CLRS is about algorithm analysis and formally proving that they behave in certain ways - like proving that quicksort has a guaranteed worst case of O(n^2) and an average case of O(n log n). Being able to work with proofs such as those is fairly fundamental to being a Computer Scientist in the strict, academic, sense. That being said, it should not be used as book to teach data structures or algorithms without formal proofs having been taught first - without the maths background the book is going to be very hard going.

The Algorithm Design Manual on the other hand, is more like a literature review for a collection of algorithms/families of algorithms (75, claims the copy infront of me). For each of them it gives an overview of the class of problems you'd apply the algorithm to, a run through of the algorithm (some with pseudo code) and discussion about the algorithm and times when the author has used it, and then pointers to more in depth sources. CRLS and Knuth are cited considerably, which should give you an idea about the relative stature of the two books being compared here.

Ultimately, they're both good books but for different audiences. The Algorithm Design Manual is by far the easier read, not least of which because it's not trying to be an academic text and is replete with anecdotes from the author. It's an excellent overview of the techniques available to the practicing developer - the ones who work in fields where you might need to whip up a quick Bin Packing routine anyway. CLRS is a lot harder to get through, but it will teach you how to prove that your algorithms will do what they should.

When it comes down to it, I'd say that CLRS is for the Computer Scientist while TADM is for the practitioner and I'm glad I own both.