Quantitative Approximations provides a thorough account of all of the significant developments in the area of contemporary quantitative mathematics. It shows that quantitative approximation methods penetrate and are applied in many diverse and important mathematical research fields. These areas of application include neural networks, wavelets, partial differential equations, semigroups of operators, probability and statistics, functional analysis, approximation theory, and classical analysis. The author describes all of the pertinent mathematical entities precisely and concretely, and includes all major research results from the past 15 years.
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