Combines comprehensive coverage of both past and current research. Deals with representations and approximations of functions in several variables in terms of finite sums of factor functions' results in a lesser number of variables. One of the basic questions treated is closely connected with the 13th problem of David Hilbert which concerns the solvability of algebraic equations.
|Series:||Pure and Applied Mathematics: A Wiley Series of Texts, Monographs and Tracts Series , #25|
|Product dimensions:||6.18(w) x 9.33(h) x 0.75(d)|
Table of Contents
Basic Decomposition Theorems for Functions of Two Variables.
Decompositions of Functions of Several Variables.
Finite-Dimensional Spaces of Smooth Functions.
Decompositions of Smooth Functions on Manifolds.
Approximate Decompositions of Smooth Functions.
The Best L 2-Approximations of Two-Place Functions.
Geometry of the d'Alembert Equation.