Aspects of Complexity : Minicourses in Algorithmics, Complexity and Computational Algebra. Mathematics Workshop, Kaikoura, January 7-15, 2000
Reprint 2010
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The book contains 8 detailed expositions of the lectures given at the Kaikoura 2000 Workshop on Computability, Complexity, and Computational Algebra.
Topics covered include basic models and questions of complexity theory, the Blum-Shub-Smale model of computation, probability theory applied to algorithmics (randomized alogrithms), parametric complexity, Kolmogorov complexity of finite strings, computational group theory, counting problems, and canonical models of ZFC providing a solution to continuum hypothesis.
The text addresses students in computer science or mathematics, and professionals in these areas who seek a complete, but gentle introduction to a wide range of techniques, concepts, and research horizons in the area of computational complexity in a broad sense.
"I would recommend this book to all computationally inclined mathematicians and all theoretically inclined computer scientists (including graduate students)." Mathematical Reviews
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