Description
Book SynopsisThis text presents the theory of differentiation in a unified form. Several problems of differentiation theory are resolved, new ones presented, and past and present developments in the field covered. It includes all aspects of various kinds of derivates and derivatives.
Table of ContentsPartial table of contents:
A UNIFIED THEORY OF UNILATERIAL DERIVATES.
Definitions, Notations, and Preliminary Results.
Some Fundamental Theorems on Unilateral Derivates.
A THEORY OF SOME NEW DERIVATIVES.
Existence of New Derivatives.
Calculus of New Derivatives.
THEORY OF NEW DERIVATIVES (CONTINUED).
Monotonicity and Other Properties in Terms of New Derivatives.
Properties of New Derivatives and New Derivability Sets.
Denjoy and Perron Integrals Corresponding to New Derivatives.
SOME DIRECT APPLICATIONS OF THE THEORY OF NEW DERIVATIVES.
Derivates and Derivability of Symmetric, Quasismooth and Smooth Functions.
Strong Derivates and Strong Derivative.
UNIFIED AXIOMATIC THEORIES OF GENERALIZED DERIVATIVES.
A Unified Theory of Generalized Derivatives.
A Unified Theory of Generalized New Derivatives.
References.
Indexes.
