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Computational Complexity
 
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Computational Complexity [Paperback]

Christos H. Papadimitriou
3.9 out of 5 stars  See all reviews (12 customer reviews)
List Price: CDN$ 119.70
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Book Description

This new text offers a comprehensive and accessible treatment of the theory of algorithms and complexity - the elegant body of concepts and methods developed by computer scientists over the past 30 years for studying the performance and limitations of computer algorithms. Among topics covered are- reductions and NP- completeness, cryptography and protocols, randomized algorithms, and approximability of optimization problems, circuit complexity, the "structural" aspects of the P=NP question, parallel computation, the polynomial hierarchy, and many others.
Several sophisticated and recent results are presented in a rather simple way, while many more are developed in the form of extensive notes, problems, and hints. The book is surprisingly self- contained, in that it develops all necessary mathematical prerequisites from such diverse field as computability, logic, number theory, combinatorics, and probability.


Features


First unified introduction to computational complexity.
Integrates computation, applications, and logic throughout.
Provides an accessible introduction to logic, including Boolean logic, first-order logic, and second-order logic.
Includes extensive exercises including historical notes, references, and challeging problems.

From the Back Cover

This new text offers a comprehensive and accessible treatment of the theory of algorithms and complexity - the elegant body of concepts and methods developed by computer scientists over the past 30 years for studying the performance and limitations of computer algorithms. Among topics covered are: reductions and NP-completeness, cryptography and protocols, randomized algorithms, and approximability of optimization problems, circuit complexity, the "structural" aspects of the P=NP question, parallel computation, the polynomial hierarchy, and many others.

Several sophisticated and recent results are presented in a rather simple way, while many more are developed in the form of extensive notes, problems, and hints. The book is surprisingly self-contained, in that it develops all necessary mathematical prerequisites from such diverse field as computability, logic, number theory, combinatorics, and probability.

Features
  • First unified introduction to computational complexity.
  • Integrates computation, applications, and logic throughout.
  • Provides an accessible introduction to logic, including Boolean logic, first-order logic, and second-order logic.
  • Includes extensive exercises including historical notes, references, and challeging problems.


0201530821B04062001


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Customer Reviews

12 Reviews
5 star:
 (6)
4 star:
 (3)
3 star:
 (1)
2 star:    (0)
1 star:
 (2)
 
 
 
 
 
Average Customer Review
3.9 out of 5 stars (12 customer reviews)
 
 
 
 
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4.0 out of 5 stars Good overall., Feb 5 2004
This review is from: Computational Complexity (Paperback)
A well-written book that teaches you how to think about complexity theory instead of just a flat summary of results. Something like Lewis and Papadimitriou's _Elements of the Theory of Computation_ would be more than enough preparation for this (note that the style of these books is quite different- this one is more informal and descriptive). Covers all the material you need in a first text. Has a good little introduction to mathematical logic in it, including a nice succinct version of Godels Incompleteness Theorem. Lots of interesting exercises.
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1.0 out of 5 stars All in one roof, but presentation very poor, Jun 3 2003
By A Customer
This review is from: Computational Complexity (Paperback)
I agree with the review by Arthur Fischer. Papadimitriou might
be an excellent researcher, but his communication skills are
hopeless and horrible. The typos make learning even harder.

Perhaps someone like Michael Sipser should take up the task of
rewriting this book.

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5.0 out of 5 stars Be careful, but it is worth reading, Jun 2 2003
By 
Li Ping Chou "Ph.D from National Taiwan Unive... (San Chung City, Taipei Hsien Taiwan) - See all my reviews
(REAL NAME)   
This review is from: Computational Complexity (Paperback)
Yes,it is generally "hard" for undergradute students even grad. students. If you are taking course "Theory of computing", I would like to recommend Sipser's or Cohen's books for introduction's supplement. However, this book covers too many topics, therefore becomes too dense, so that you should read it carefully. I admit that I could not go through more than 20 pages of this book in the beginning. But I was keeping on reading and surveying some "easy books". Finally, I understand most parts of this book. However, if some readers want some more advanced and recent topics. They should refer to some conference's papers hosted by ACM or IEEE.
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