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## Details

Document Type: | Book |
---|---|

All Authors / Contributors: |
Avi Wigderson |

ISBN: | 0691189137 9780691189130 |

OCLC Number: | 1051136440 |

Description: | xiii, 418 pages: illustrations, 26 cm |

Contents: | Introduction -- Prelude: computation, undecidability, and limits to mathematical knowledge -- Computational complexity 101: the basics, P, and NP -- Problems and classes inside (and around) NP -- Lower bounds, Boolean circuits, and attacks on P vs NP -- Proof complexity -- Randomness in computation -- Abstract pseudo-randomness -- Weak random sources and randomness extractors -- Randomness and interaction in proofs -- Quantum computing -- Arithmetic complexity -- Interlude: concrete interactions between math and computational complexity -- Space complexity: modeling limited memory -- Communication complexity: modeling information bottlenecks -- On-line algorithms: coping with an unknown future -- Computational learning theory, AI, and beyond -- Cryptography: modeling secrets and lies, knowledge and trust -- Distributed computing: coping with asynchrony -- Epilogue: a broader perspective of ToC. |

Responsibility: | Avi Wigderson. |

### Abstract:

An introduction to computational complexity theory, its connections and interactions with mathematics, and its central role in the natural and social sciences, technology, and philosophyMathematics and Computation provides a broad, conceptual overview of computational complexity theory-the mathematical study of efficient computation. With impor
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## Reviews

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Publisher Synopsis

"Avi Wigderson's new 440-page book, Mathematics and Computation: A Theory Revolutionizing Technology and Science (Princeton University Press, October 2019), lays out a commanding overview of the theory of computing and argues for its central role in human thought."---Allyn Jackson, Communications of the ACM Read more...

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