**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

**Complexity Theory**

by

**Johan HÃ¥stad**

This set of notes gives the broad picture of modern complexity theory, defines the basic complexity classes, gives some examples of each complexity class and proves the most standard relations. The author emphasizes the ideas involved in the proofs.

(

**11565**views)

**Specifying Systems**

by

**Leslie Lamport**-

**Addison-Wesley Professional**

This book shows how to write unambiguous specifications of complex computer systems. It provides a complete reference manual for the TLA+, the language developed by the author for writing simple and elegant specifications of algorithms and protocols.

(

**9681**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.

(

**7208**views)

**P, NP, and NP-Completeness: The Basics of Complexity Theory**

by

**Oded Goldreich**-

**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.

(

**5089**views)