Mathematics and Computation av Avi Wigderson

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<p><b>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</b><br><br><i>Mathematics and Computation</i> 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.<br><br>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