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Theory of Differentiation Krishna M. Garg (University of Alberta)

Theory of Differentiation By Krishna M. Garg (University of Alberta)

Theory of Differentiation by Krishna M. Garg (University of Alberta)

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Summary

This 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.

Theory of Differentiation Summary

Theory of Differentiation: A Unified Theory of Differentiation Via New Derivate Theorems and New Derivatives by Krishna M. Garg (University of Alberta)

Theory of differentiation includes all aspects of various kinds of derivates and derivatives, and the theory of various Perron and Denjoy-Perron integrals. Derivative theorems covered are theorems on unilateral (or Dini) derivates. Through a cohesive format, outstanding problems are resolved, new ones are presented, and developments in this field, both past and present, are covered.

About Krishna M. Garg (University of Alberta)

Krishna M. Garg is the author of Theory of Differentiation: A Unified Theory of Differentiation Via New Derivate Theorems and New Derivatives, published by Wiley.

Table of Contents

Partial 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.

Additional information

NPB9780471253877
9780471253877
0471253871
Theory of Differentiation: A Unified Theory of Differentiation Via New Derivate Theorems and New Derivatives by Krishna M. Garg (University of Alberta)
Krishna M. Garg (University of Alberta)
Wiley-Interscience and Canadian Mathematics Series of Monographs and Texts
New
Hardback
John Wiley & Sons Inc
1998-10-12
544
N/A
Book picture is for illustrative purposes only, actual binding, cover or edition may vary.
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