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Computational Complexity: A Modern Approach [Hardcover]

Sanjeev Arora , Boaz Barak
5.0 out of 5 stars  See all reviews (3 customer reviews)
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Product details

  • Hardcover: 594 pages
  • Publisher: Cambridge University Press; 1 edition (20 April 2009)
  • Language English
  • ISBN-10: 0521424267
  • ISBN-13: 978-0521424264
  • Product Dimensions: 25.4 x 18 x 3.6 cm
  • Average Customer Review: 5.0 out of 5 stars  See all reviews (3 customer reviews)
  • Amazon Bestsellers Rank: 86,453 in Books (See Top 100 in Books)
  • See Complete Table of Contents

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Sanjeev Arora
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Review

'This book by two leading theoretical computer scientists provides a comprehensive, insightful and mathematically precise overview of computational complexity theory, ranging from early foundational work to emerging areas such as quantum computation and hardness of approximation. It will serve the needs of a wide audience, ranging from experienced researchers to graduate students and ambitious undergraduates seeking an introduction to the mathematical foundations of computer science. I will keep it at my side as a useful reference for my own teaching and research.' Richard M. Karp, University of California at Berkeley

'This text is a major achievement that brings together all of the important developments in complexity theory. Student and researchers alike will find it to be an immensely useful resource.' Michael Sipser, MIT, , author of Introduction to the Theory of Computation

'Computational complexity theory is at the core of theoretical computer science research. This book contains essentially all of the (many) exciting developments of the last two decades, with high level intuition and detailed technical proofs. It is a must for everyone interested in this field.' Avi Wigderson, Professor, Institute for Advanced Study, Princeton

Product Description

This beginning graduate textbook describes both recent achievements and classical results of computational complexity theory. Requiring essentially no background apart from mathematical maturity, the book can be used as a reference for self-study for anyone interested in complexity, including physicists, mathematicians, and other scientists, as well as a textbook for a variety of courses and seminars. More than 300 exercises are included with a selected hint set. The book starts with a broad introduction to the field and progresses to advanced results. Contents include: definition of Turing machines and basic time and space complexity classes, probabilistic algorithms, interactive proofs, cryptography, quantum computation, lower bounds for concrete computational models (decision trees, communication complexity, constant depth, algebraic and monotone circuits, proof complexity), average-case complexity and hardness amplification, derandomization and pseudorandom constructions, and the PCP theorem.

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Most Helpful Customer Reviews
2 of 2 people found the following review helpful
By Dr. Bojan Tunguz TOP 500 REVIEWER
Format:Hardcover
This is a very comprehensive and detailed book on computational complexity. Its target audience are the advanced undergraduates or the first-year graduate students in computational science or a related field. The book has many good and interesting exercises and is very suitable as a textbook. It can be used as a self-study textbook for researchers in other fields as well. However, the notation may not be too familiar to those who have not had any prior exposure to the topics in computational complexity. I am a theoretical Physicist and I consider myself to be fairly well versed in advanced mathematics, but I would probably want to read a book that is at a level just below this one in order to familiarize myself with the notational conventions. Otherwise, it is an extremely interesting and well-organized textbook.
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1 of 1 people found the following review helpful
Format:Hardcover
The most comprehensive introduction on computational complexity by far. Arguments are presented in a clear way and good distribution among the chapters. I suggest this book for a graduate introduction to the subject, but also as a masterpiece in your computer science personal library.
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Format:Hardcover
Though I haven't completed reading the entire text, I use it more as a handy reference for state of the art content on Complexity Theory ... The book is up-to-date and well organized, Part One is an Excellent Coverage of the Basics... just a sufficiently indepth coverage and just good enough mathematical treatment An excellent Modern Day Companion to Garey-Johnson !
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