Differentiation of real functions (IN ENGLISCHER SPRACHE), (CRM Monograph Series, vol.5)

Bruckner, Andrew M.,

ISBN 10: 0821869906 ISBN 13: 9780821869901

Editorial: American Mathematical Society, 1994

Idioma: Ingl�s

Condici�n: Usado Encuadernaci�n de tapa dura

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Descripci�n

195 Seiten Gutes Exemplar mit handschriftlichem Besitzvermerk Sprache: Englisch Gewicht in Gramm: 581.

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Detalles bibliogr�ficos

T�tulo

Differentiation of real functions (IN ENGLISCHER SPRACHE), (CRM Monograph Series, vol.5)

Editor

American Mathematical Society

Fecha de publicaci�n

1994

Idioma

Ingl�s

ISBN 10

0821869906

ISBN 13

9780821869901

Encuadernaci�n

4�, blauer OPp mit R�ckentitel

Edici�n

2. Auflage,.

Peso

581 gramos

Cat�logos de vendedores

Varia

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Sinopsis

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.

Rese�a del editor

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. This series is published by the AMS for the Centre de Recherches Math\'ematiques.

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