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I need a good book which starts from quite beginner to learn about calculating the complexity of Algorithm??

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The classic textbook is CLRS (a.k.a "Cormen") –  Shaull Feb 24 '13 at 6:39
The Art of Computer Programming by Donald Knuth. –  saadtaame Feb 24 '13 at 22:48
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The Aho, Hopcroft Ullman book "Design and analysis of computer algorithms" is a classic, Sedgewick's "Algorithms" should be very good (I haven't seen the recent 4th edition, though). A veritable encyclopaedia is Cormen, Leiserson, Rivest and Stein's "Introduction to algorithms". For a more advanced, mathematical view, Sedgewick and Flajolet's "An introduction to the analysis of algorithms" is very useful.

You could also look at Open Courseware or Coursera for an introductory algorithms course, or in general trawl the web for lecture notes.

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