Operational Calculus

Gregors Krabbe (Autor)

Buch | Softcover

349 Seiten

2013 | 1970 ed.
Springer-Verlag New York Inc.
9781461343943 (ISBN)

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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 tr-+-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 1]. The aims of the present book are the same as MIKUSINSKI's [M 1]: 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).

Zusatzinfo	13 Illustrations, black and white; XVI, 349 p. 13 illus.
Verlagsort	New York, NY
Sprache	englisch
Maße	152 x 229 mm
Themenwelt	Schulbuch / Wörterbuch
	Mathematik / Informatik ► Mathematik ► Analysis
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	Sozialwissenschaften
ISBN-13	9781461343943 / 9781461343943
Zustand	Neuware