Mathematics and computation: a theory revolutionizing technology and science
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 mathemati...
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| Format: | Elektronisch E-Book |
| Sprache: | English |
| Veröffentlicht: |
Princeton, NJ
Princeton University Press
[2019]
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| Schlagworte: | |
| Online-Zugang: | DE-1043 DE-1046 DE-858 DE-Aug4 DE-898 DE-859 DE-860 DE-91 DE-20 DE-706 DE-739 Volltext |
| Zusammenfassung: | 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 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.Useful for undergraduates in mathematics and computer science as well as researchers and teachers in the field, Mathematics and Computation brings conceptual clarity to a central and dynamic scientific discipline.· Comprehensive coverage of computational complexity theory· High-level, intuitive exposition· Historical accounts of the evolution and motivations of central concepts and models· A resourceful look at the theory's influence on science, technology, and society· Extensive bibliography |
| Beschreibung: | Description based on online resource; title from PDF title page (publisher's Web site, viewed 26. Nov 2019) |
| Beschreibung: | 1 Online-Ressource (440 Seiten) Illustrationen |
| ISBN: | 9780691192543 |
| DOI: | 10.1515/9780691192543 |
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| 520 | |a 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 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.Useful for undergraduates in mathematics and computer science as well as researchers and teachers in the field, Mathematics and Computation brings conceptual clarity to a central and dynamic scientific discipline.· Comprehensive coverage of computational complexity theory· High-level, intuitive exposition· Historical accounts of the evolution and motivations of central concepts and models· A resourceful look at the theory's influence on science, technology, and society· Extensive bibliography | ||
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Datensatz im Suchindex
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| discipline | Mathematik |
| doi_str_mv | 10.1515/9780691192543 |
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| spelling | Wigderson, Avi 1956- (DE-588)170069257 aut Mathematics and computation a theory revolutionizing technology and science Avi Wigderson Princeton, NJ Princeton University Press [2019] © 2019 1 Online-Ressource (440 Seiten) Illustrationen txt rdacontent c rdamedia cr rdacarrier Description based on online resource; title from PDF title page (publisher's Web site, viewed 26. Nov 2019) 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 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.Useful for undergraduates in mathematics and computer science as well as researchers and teachers in the field, Mathematics and Computation brings conceptual clarity to a central and dynamic scientific discipline.· Comprehensive coverage of computational complexity theory· High-level, intuitive exposition· Historical accounts of the evolution and motivations of central concepts and models· A resourceful look at the theory's influence on science, technology, and society· Extensive bibliography In English MATHEMATICS / General bisacsh Algebra, Boolean Computational complexity Cryptography Komplexitätstheorie (DE-588)4120591-1 gnd rswk-swf Komplexitätstheorie (DE-588)4120591-1 s 1\p DE-604 https://doi.org/10.1515/9780691192543 Verlag URL des Erstveröffentlichers Volltext 1\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk |
| spellingShingle | Wigderson, Avi 1956- Mathematics and computation a theory revolutionizing technology and science MATHEMATICS / General bisacsh Algebra, Boolean Computational complexity Cryptography Komplexitätstheorie (DE-588)4120591-1 gnd |
| subject_GND | (DE-588)4120591-1 |
| title | Mathematics and computation a theory revolutionizing technology and science |
| title_auth | Mathematics and computation a theory revolutionizing technology and science |
| title_exact_search | Mathematics and computation a theory revolutionizing technology and science |
| title_full | Mathematics and computation a theory revolutionizing technology and science Avi Wigderson |
| title_fullStr | Mathematics and computation a theory revolutionizing technology and science Avi Wigderson |
| title_full_unstemmed | Mathematics and computation a theory revolutionizing technology and science Avi Wigderson |
| title_short | Mathematics and computation |
| title_sort | mathematics and computation a theory revolutionizing technology and science |
| title_sub | a theory revolutionizing technology and science |
| topic | MATHEMATICS / General bisacsh Algebra, Boolean Computational complexity Cryptography Komplexitätstheorie (DE-588)4120591-1 gnd |
| topic_facet | MATHEMATICS / General Algebra, Boolean Computational complexity Cryptography Komplexitätstheorie |
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