1st Edition

A Generalized Taylor's Formula for Functions of Several Variables and Certain of its Applications

By J A Riestra Copyright 1995
    136 Pages
    by Chapman & Hall

    The classical Taylor's formula of advanced calculus is generalized, extending the notion of the differentiability class Cm, with applications to maxima and minima and to sufficiency of jets.

    Part 1 Biased differentiability and its Taylor formula: the strong form of biased differentiability; biased differentiability. Part 2 Biased differentiability and extrema: introduction and summary; extrema for Cp functions; extrema for C rho functions. Part 3 Sufficiency of biased jets: preliminaries; the results; the proofs of theorems 6,7 and 8; final comments and remarks.

    Biography

    J A Riestra (Author