عنوان

Mathematics and computation :

(Number (ISBN

0691192545

(Number (ISBN

9780691192543

Erroneous ISBN

0691189137

Erroneous ISBN

9780691189130

Title Proper

Mathematics and computation :

General Material Designation

[Book]

Other Title Information

a theory revolutionizing technology and science /

First Statement of Responsibility

Avi Wigderson.

Place of Publication, Distribution, etc.

Princeton, New Jersey :

Name of Publisher, Distributor, etc.

Princeton University Press,

Date of Publication, Distribution, etc.

[2019]

Date of Publication, Distribution, etc.

©2019

Specific Material Designation and Extent of Item

1 online resource (xiii, 418 pages) :

Other Physical Details

illustrations

Text of Note

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.

0

Text of Note

"An introduction to computational complexity theory, its connections and interactions with mathematics, and its central role in the natural and social sciences, technology, and philosophy, Mathematics and Computation provides a broad, conceptual overview of computational complexity theory--the mathematical study of efficient computation. With important practical applications to computer science and industry, computational complexity theory has evolved into a highly interdisciplinary field, with strong links to most mathematical areas and to a growing number of scientific endeavors. Avi Wigderson takes a sweeping survey of complexity theory, emphasizing the field's insights and challenges. He explains the ideas and motivations leading to key models, notions, and results. In particular, he looks at algorithms and complexity, computations and proofs, randomness and interaction, quantum and arithmetic computation, and cryptography and learning, all as parts of a cohesive whole with numerous cross-influences. Wigderson illustrates the immense breadth of the field, its beauty and richness, and its diverse and growing interactions with other areas of mathematics. He ends with a comprehensive look at the theory of computation, its methodology and aspirations, and the unique and fundamental ways in which it has shaped and will further shape science, technology, and society."--Publisher

Source for Acquisition/Subscription Address

JSTOR

Stock Number

22573/ctvcjd922

Title

Mathematics and computation.

International Standard Book Number

0691189137

Algebra, Boolean.

Computational complexity.

Cryptography.

Algebra, Boolean.

Computational complexity.

Cryptography.

MATHEMATICS / General.

Number

Edition

Class number

Wigderson, Avi

Date of Transaction

20200822123226.0

Cataloguing Rules (Descriptive Conventions))

pn

Electronic name

[Book]

Y