Aspects of Complexity
Minicourses in Algorithmics, Complexity and Computational Algebra. Mathematics Workshop, Kaikoura, January 7-15, 2000
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.
180 pages; ISBN 9783110889178
Title: Aspects of Complexity
Author: Rod Downey; Denis R. Hirschfeldt
Ask the Experts: Physics and Math 2014 US$ 4.99 135 pages
A Student's Guide to Numerical Methods 2015 US$ 24.00 224 pages