Description - Approximation with Quasi-Splines by G.H Kirov
In the theory of splines, a function is approximated piece-wise by polynomials. Quasi-splines are the natural extension of this, allowing researchers to use any useful class of functions adapted to the problem. This text develops the requisite approximation theorems and optimization methods, allowing a unified theory of one and several variables. The author applies his techniques to the evaluation of definite integrals (quadrature) and its many-variable generalization, which he calls "cubature". The text has been designed primarily for all practitioners of the methods of approximation, including researchers and teachers of applied, numerical and computational mathematics, but it may also be used as a second course in numerical analysis.
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