Operational Calculus (Paperback, Softcover reprint of the original 1st ed. 1970)

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).

General

Imprint:	Springer-Verlag
Country of origin:	Germany
Release date:	April 2012
First published:	1970
Authors:	Gregers Krabbe
Dimensions:	244 x 170 x 20mm (L x W x T)
Format:	Paperback
Pages:	350
Edition:	Softcover reprint of the original 1st ed. 1970
ISBN-13:	978-3-642-87706-3
Categories:	Books > Science & Mathematics > Mathematics > Calculus & mathematical analysis > Vector & tensor analysis Promotions
LSN:	3-642-87706-0
Barcode:	9783642877063

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