There are books on algorithms that are rigorous but incomplete and others that cover masses of material but lack rigor. Introduction to Algorithms combines rigor and comprehensiveness.
The book covers a broad range of algorithms in depth, yet makes their
design and analysis accessible to all levels of readers. Each chapter is
relatively self-contained and can be used as a unit of study. The
algorithms are described in English and in a pseudocode designed to be
readable by anyone who has done a little programming. The explanations
have been kept elementary without sacrificing depth of coverage or
mathematical rigor.
The first edition became the standard
reference for professionals and a widely used text in universities
worldwide. The second edition features new chapters on the role of
algorithms, probabilistic analysis and randomized algorithms, and linear
programming, as well as extensive revisions to virtually every section
of the book. In a subtle but important change, loop invariants are
introduced early and used throughout the text to prove algorithm
correctness. Without changing the mathematical and analytic focus, the
authors have moved much of the mathematical foundations material from
Part I to an appendix and have included additional motivational material
at the beginning.
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