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 Tim Roughgarden - Stanford University
The two biggest goals of the course are: 1. Learn several canonical problems that have proved the most useful for proving lower bounds; 2. Learn how to reduce lower bounds for fundamental algorithmic problems to communication complexity lower bounds.
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.
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 Martin Tompa
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.