ENGLISH

Differentiation of Real Functions

By Andrew M. Bruckner (auth.)

Book information

Publisher
Springer-Verlag Berlin Heidelberg
Year
1978
ISBN
9780387089102, 0-387-08910-1
DOI
10.1007/BFb0069821
LCC
QA3 .L28 no. 659,QA304 .L28 no. 659
Open Library ID
OL4480241M
Language
english
Format
DJVU
Filesize
2 MB (1688773 bytes)
Series
Lecture Notes in Mathematics 659
Edition
1
Pages
251\255
Library
mexmat
Time added
2009-07-20 03:45:11
generalMathematics

Description

Topics related to the differentiation of real functions have received considerable attention during the last few decades. This book provides an efficient account of the present state of the subject. Bruckner addresses in detail the problems that arise when dealing with the class $\Delta '$ of derivatives, a class that is difficult to handle for a number of reasons. Several generalized forms of differentiation have assumed importance in the solution of various problems. Some generalized derivatives are excellent substitutes for the ordinary derivative when the latter is not known to exist; others are not. Bruckner studies generalized derivatives and indicates ``geometric'' conditions that determine whether or not a generalized derivative will be a good substitute for the ordinary derivative. There are a number of classes of functions closely linked to differentiation theory, and these are examined in some detail. The book unifies many important results from the literature as well as some results not previously published. The first edition of this book, which was current through 1976, has been referenced by most researchers in this subject. This second edition contains a new chapter dealing with most of the important advances between 1976 and 1993.

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