Computational Complexity

<p></p> <blockquote> <p>This new text offers a comprehensive and accessible treatment of the theory of algorithms and complexity - the elegant body of concepts and methods developed by computer scientists over the past 30 years for studying the performance and limitations of computer algorithms. Among topics covered are: reductions and NP-completeness, cryptography and protocols, randomized algorithms, and approximability of optimization problems, circuit complexity, the "structural" aspects of the P=NP question, parallel computation, the polynomial hierarchy, and many others.</p> <p>Several sophisticated and recent results are presented in a rather simple way, while many more are developed in the form of extensive notes, problems, and hints. The book is surprisingly self-contained, in that it develops all necessary mathematical prerequisites from such diverse field as computability, logic, number theory, combinatorics, and probability.</p> <b>Features</b> <ul> <li>First unified introduction to computational complexity.</li> <li>Integrates computation, applications, and logic throughout.</li> <li>Provides an accessible introduction to logic, including Boolean logic, first-order logic, and second-order logic.</li> <li>Includes extensive exercises including historical notes, references, and challeging problems.</li> </ul> </blockquote> <br> <br> 0201530821B04062001 <p></p>