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Mathematics and Computation
A Theory Revolutionizing Technology and Science
Buch von Avi Wigderson

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Beschreibung
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. For further reading, an extensive bibliography is provided for all topics covered.
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. For further reading, an extensive bibliography is provided for all topics covered.
Über den Autor
Avi Wigderson is the Herbert H. Maass Professor in the School of Mathematics at the Institute for Advanced Study in Princeton. He is a recipient of the Turing Award, the highest distinction in computer science, and the Abel Prize, widely considered to be the highest recognition of impact in mathematics.
Details
Erscheinungsjahr: 2019
Genre: Mathematik
Rubrik: Naturwissenschaften & Technik
Medium: Buch
Seiten: 440
ISBN-13: 9780691189130
ISBN-10: 0691189137
Einband: Gebunden
Autor: Wigderson, Avi
Hersteller: Princeton University Press
Maße: 264 x 187 x 33 mm
Von/Mit: Avi Wigderson
Erscheinungsdatum: 29.10.2019
Gewicht: 0,954 kg
preigu-id: 114505657
Über den Autor
Avi Wigderson is the Herbert H. Maass Professor in the School of Mathematics at the Institute for Advanced Study in Princeton. He is a recipient of the Turing Award, the highest distinction in computer science, and the Abel Prize, widely considered to be the highest recognition of impact in mathematics.
Details
Erscheinungsjahr: 2019
Genre: Mathematik
Rubrik: Naturwissenschaften & Technik
Medium: Buch
Seiten: 440
ISBN-13: 9780691189130
ISBN-10: 0691189137
Einband: Gebunden
Autor: Wigderson, Avi
Hersteller: Princeton University Press
Maße: 264 x 187 x 33 mm
Von/Mit: Avi Wigderson
Erscheinungsdatum: 29.10.2019
Gewicht: 0,954 kg
preigu-id: 114505657
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