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This beginning graduate textbook describes both recent achievements and classical results of computational complexity theory. Requiring essentially no background apart from mathematical maturity, the book can be used as a reference for self-study for anyone interested in complexity, including physicists, mathematicians, and other scientists, as well as a textbook for a variety of courses and seminars. More than 300 exercises are included with a selected hint set. The book starts with a broad introduction to the field and progresses to advanced results. Contents include: definition of Turing machines and basic time and space complexity classes, probabilistic algorithms, interactive proofs, cryptography, quantum computation, lower bounds for concrete computational models (decision trees, communication complexity, constant depth, algebraic and monotone circuits, proof complexity), average-case complexity and hardness amplification, derandomization and pseudorandom constructions, and the PCP theorem.
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Previews available in: English
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1
Computational Complexity: A Modern Approach
2012, Cambridge University Press
in English
0511804091 9780511804090
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3
Computational complexity: a modern approach
2009, Cambridge University Press
in English
0521424267 9780521424264
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4
Computational Complexity
2009, Cambridge University Press
E-book
in English
0511530757 9780511530753
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5
Computational Complexity: A Modern Approach
2007, Cambridge University Press
in English
0511532903 9780511532900
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Includes bibliographical references and index.
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