Logo

Complexity Theory: A Modern Approach

Large book cover: Complexity Theory: A Modern Approach

Complexity Theory: A Modern Approach
by

Publisher: Cambridge University Press
ISBN/ASIN: 0521424267
ISBN-13: 9780521424264
Number of pages: 489

Description:
This book aims to describe such recent achievements of complexity theory in the context of the classical results. It is intended to be a text and as well as a reference for self-study. This means it must simultaneously cater to many audiences, and it is carefully designed with that goal. The book will explain the context in which a certain notion is useful, and why things are defined in a certain way. Examples and solved exercises accompany key definitions. This book assumes essentially no computational background (though a slight exposure to computing may help) and very little mathematical background apart from the ability to understand proofs and some elementary probability on finite sample spaces. A typical undergraduate course on "Discrete Math" taught in many math and CS departments should suffice (together with the Appendix).

Home page url

Download or read it online for free here:
Download link
(4.4MB, PDF)

Similar books

Book cover: Around Kolmogorov Complexity: Basic Notions and ResultsAround Kolmogorov Complexity: Basic Notions and Results
by - 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.
(5120 views)
Book cover: Algorithmic Randomness and ComplexityAlgorithmic Randomness and Complexity
by - Springer
Computability and complexity theory are two central areas of research in theoretical computer science. This book provides a systematic, technical development of algorithmic randomness and complexity for scientists from diverse fields.
(9072 views)
Book cover: Mathematics and ComputationMathematics and Computation
by - 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.
(1482 views)
Book cover: P, NP, and NP-Completeness: The Basics of Complexity TheoryP, NP, and NP-Completeness: The Basics of Complexity Theory
by - Cambridge University Press
The main focus of the current book is on the P-vs-NP Question and the theory of NP-completeness. Additional topics that are covered include the treatment of the general notion of a reduction between computational problems.
(8246 views)