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

Name: A Generalized Taylor's Formula for Functions of Several Variables and Certain of its Applications
ISBN: 9780429333033

doi:10.1201/9780429333033

Book

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

ABSTRACT

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.

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

ABSTRACT

TABLE OF CONTENTS

chapter 0.|4 pages

Introduction and Summary

chapter 1.|30 pages

Biased Differentiability and its Taylor’s Formula

chapter 2.|50 pages

Biased Differentiability and Extrema

chapter 3.|40 pages

Sufficiency of Biased Jets