Higher order derivatives
Author(s)
Bibliographic Information
Higher order derivatives
（Chapman & Hall/CRC monographs and surveys in pure and applied mathematics, 144）
CRC Press, 2012
Available at 12 libraries
Note
Includes bibliographical references (p. 187-198) and index
Description and Table of Contents
Description
The concept of higher order derivatives is useful in many branches of mathematics and its applications. As they are useful in many places, nth order derivatives are often defined directly. Higher Order Derivatives discusses these derivatives, their uses, and the relations among them. It covers higher order generalized derivatives, including the Peano, d.l.V.P., and Abel derivatives; along with the symmetric and unsymmetric Riemann, Cesaro, Borel, LP-, and Laplace derivatives.
Although much work has been done on the Peano and de la Vallee Poussin derivatives, there is a large amount of work to be done on the other higher order derivatives as their properties remain often virtually unexplored. This book introduces newcomers interested in the field of higher order derivatives to the present state of knowledge. Basic advanced real analysis is the only required background, and, although the special Denjoy integral has been used, knowledge of the Lebesgue integral should suffice.
Table of Contents
High Order Derivatives. Relations among Derivatives.
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