Operational Calculus

Language: English

Published by Springer Berlin Heidelberg, 2012

3642877060 / 9783642877063

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Druck auf Anfrage Neuware - Printed after ordering - Since the publication of an article by G. DOETSCH in 1927 it has been known that the Laplace transform procedure is a reliable sub stitute for HEAVISIDE'S operational calculus\*. However, the Laplace transform procedure is unsatisfactory from several viewpoints (some of these will be mentioned in this preface); the most obvious defect: the procedure cannot be applied to functions of rapid growth (such as the 2 function t ~ exp (t )). In 1949 JAN MIKUSINSKI indicated how the un necessary restrictions required by the Laplace transform can be avoided by a direct approach, thereby gaining in notational as well as conceptual simplicity; this approach is carefully described in MIKUSINSKI'S textbook 'Operational Calculus' [M 1J. . The aims of the present book are the same as MIKUSINSKI'S [M 1J: a direct approach requiring no un-necessary restrictions. The present operational calculus is essentially equivalent to the 'calcul symbolique' of distributions having left-bounded support (see 6.52 below and pp. 171 to 180 of the textbook 'Theorie des distributions' by LAURENT SCHWARTZ).

Seller Inventory # 9783642877063

Title
Operational Calculus
Author
Gregers Krabbe
Publisher
Springer Berlin Heidelberg
Publication year
2012
Condition
Neu
Binding
Taschenbuch
Language
English
ISBN 10
3642877060
ISBN 13
9783642877063
Item weight
635 grams
Dimensions
244x170x20 mm

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