Books on algorithms come in different flavors. Some emphasize
design aspects, some emphasize analysis aspects, and some try
to mix the two. From a different perspective, some books
organize the material by design and/or analysis methods,
others organize it by application areas.
In any case, no single book can
do justice to all aspects of this area of computer science:
The design and analysis of algorithms has simply mushroomed
over the last 30 years, remains a thriving area of research,
and has not yet completely stabilized into a unified core
of basic topics (as, for example, Calculus, or Linear Algebra,
or Introductory FirstOrder Logic).

[L] The Design and Analysis of Algorithms,
by Anany Levitin, 2012.


[KT] Algorithm Design,
by Kleinberg and Tardos, 2005.
Recently used as the main CS 330 textbook.


[PV] Algorithms,
by Papadimitriou and Vazirani, 2006.


[A] The Design and Analysis of Parallel Algorithms,
by S.G. Akl, Prentice Hall, 1989.


[AHU] The Design and Analysis of Computer Algorithms,
by A.V. Aho, J.E. Hopcroft, and J.D. Ullman, AddisonWesley, 1974.

Standard graduate text on the subject for many years. I was taught from it.
The style is dense in many places, and not as easy to read as some of the
more recent books, even at the same level.

[BB] Algorithmics,
by G. Brassard and P. Bratley, Prentice Hall, 1988.

A very nice text on algorithms, with emphasis on design techniques.
Used previously at BU as the required book in CS530, instead of
[CLR].

[GJ] Computers and Intractability,
by M.R. Garey and D.S. Johnson, W.H. Freema, 1979.

Standard reference on NPcompleteness. Pleasant to read.

[K] The Art of Computer Programming, Vols 1, 2, 3,
by D. Knuth, Addison Wesley, 1973.

Three classic references. The material is a bit dated. Be warned that
the style is dense, solutions for many of the exercises are no more
than hints, and an assemblylevel pseudocode does not make the algorithms
any easier to understand.

[MR] Randomized Algorithms,
by R. Motwani and P. Raghavan, Cambridge Univ Press, 1995.

A very attractive, very well written, text on randomized algorithms.
It contains extensive and useful historical notes on the topics
it covers.

Approximation Algorithms,
by Vijay Vazirani, SpringerVerlag, 2001.

A very readable text on approximations algorithms for core
combinatorial problems. A good choice of topics, written concisely
and somewhat densely, but worth reading.

[PS] Combinatorial Optimization: Algorithms and Complexity,
by C. Papadimitriou and K. Steiglitz, Prentice Hall, 1982.

A thorough and well written text on combinatorial algorithms.