**Introduction to Complexity Theory**

by Oded Goldreich

1999**Number of pages**: 375

**Description**:

Complexity Theory is a central field of Theoretical Computer Science, with a remarkable list of celebrated achievements as well as a very vibrant present research activity. The field is concerned with the study of the intrinsic complexity of computational tasks, and this study tend to aim at generality: It focuses on natural computational resources, and the effect of limiting those on the class of problems that can be solved. These lecture notes were taken by students attending my year-long introductory course on Complexity Theory, given in 1998-99 at the Weizmann Institute of Science. The course was aimed at exposing the students to the basic results and research directions in the field. The focus was on concepts and ideas, and complex technical proofs were avoided. It was assumed that students have taken a course in computability, and hence are familiar with Turing Machines.

Download or read it online for free here:

**Download link**

(2.3MB, PDF)

## Similar books

**From Complexity to Creativity**

by

**Ben Goertzel**-

**Plenum Press**

This text applies the concepts of complexity science to provide an explanation of all aspects of human creativity. The book describes the model that integrates ideas from computer science, mathematics, neurobiology, philosophy, and psychology.

(

**9836**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.

(

**1046**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.

(

**6706**views)

**Solving NP-Complete Problems**

by

**F. D. Lewis**-

**University of Kentucky**

This is an on-line textbook on heuristic algorithms. From the table of contents: Classes of Problems; Integer Programming; Enumeration Techniques; Dynamic Programming; Approximate Solutions; Local Optimization; Natural Models.

(

**4604**views)