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 Avi Wigderson - Princeton University Press
The book provides a broad, conceptual overview of computational complexity theory -- the mathematical study of efficient computation. It is useful for undergraduate and graduate students in mathematics, computer science, and related fields.
by Alexander Shen - arXiv.org
Algorithmic information theory studies description complexity and randomness. This text covers the basic notions of algorithmic information theory: Kolmogorov complexity, Solomonoff universal a priori probability, effective Hausdorff dimension, etc.
by Allen B. Downey - Green Tea Press
This book is about complexity science, data structures and algorithms, intermediate programming in Python, and the philosophy of science. The book focuses on discrete models, which include graphs, cellular automata, and agent-based models.
by Oded Goldreich - Cambridge University Press
This book offers a comprehensive perspective to modern topics in complexity theory. It can be used as an introduction as either a textbook or for self-study, or to experts, since it provides expositions of the various sub-areas of complexity theory.