**Complexity Theory: A Modern Approach**

by Sanjeev Arora, Boaz Barak

**Publisher**: Cambridge University Press 2008**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).

Download or read it online for free here:

**Download link**

(4.4MB, PDF)

## Similar books

**Measure-Preserving Systems**

by

**Karl Petersen**-

**University of North Carolina**

These notes provide an introduction to the subject of measure-preserving dynamical systems, discussing the dynamical viewpoint; how and from where measure-preserving systems arise; the construction of measures and invariant measures; etc.

(

**9884**views)

**Computational Complexity: A Conceptual Perspective**

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.

(

**10731**views)

**Introduction to Computational Complexity**

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.

(

**8741**views)

**Around Kolmogorov Complexity: Basic Notions and Results**

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.

(

**5263**views)