P, NP, and NP-Completeness: The Basics of Complexity Theory
by Oded Goldreich
Publisher: Cambridge University Press 2010
Number of pages: 190
The focus of this book is on the P-vs-NP Question, which is the most fundamental question of computer science, and on the theory of NP-completeness, which is its most influential theoretical discovery. The book also provides adequate preliminaries regarding computational problems and computational models.
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by Neil D. Jones - The MIT Press
The author builds a bridge between computability and complexity theory and other areas of computer science. Jones uses concepts familiar from programming languages to make computability and complexity more accessible to computer scientists.
by Ben Goertzel - Plenum Press
This text applies the concepts of complexity science to provide an explanation of all aspects of human creativity. The book describes the model that integrates ideas from computer science, mathematics, neurobiology, philosophy, and psychology.
by Oded Goldreich - Cambridge University Press
The book gives the mathematical underpinnings for cryptography; this includes one-way functions, pseudorandom generators, and zero-knowledge proofs. Throughout, definitions are complete and detailed; proofs are rigorous and given in full.
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Lecture notes for a graduate course on computational complexity taught at the University of Washington. Alternating Turing machines are introduced very early, and deterministic and nondeterministic Turing machines treated as special cases.