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Operational Calculus
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).
Contributions to Functional Analysis
The volume in hand contains a selection from the numerous contributions dedicated to Professor Dr. Gottfried Köthe on the occasion of his 60th birthday. This selection only takes into consideration the papers on Functional Analysis as far as they have reached us in time to be included in the volume. All of these papers have been published in [the journal] "Mathematische Annalen", volume 162.
Operational Calculus
Students who daily must face the need to use calculus for solving problems in engineering or mathematics will find Professor Krabbe's text books a refreshing departure form other sources. Because it is addressed equally to engineering and mathematics students, Operational Calculus concentrates on examples that illustrate the practical usefulness of the theory. In fact, the author emphasizes that all the theoretical material included was selected by the standard of practical applicability. With the aid of seventy-nine detailed diagrams, he presents a system that is distinguished for its validity in solving not only traditional types of problems, but the so-called "non-standard" problems as well. He endorses and expands Jan Mikusiński's 1949 method of "direct approach," which succeeds in avoiding the unnecessary restriction of the Laplace transform method, and therefore gains in both notational and conceptual simplicity.
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The Metamorphoses of Apuleius
One of the most notable achievements of ancient prose fiction, the Metamorphoses of Apuleius continues to intrigue readers. This study focuses on Apuleius' best-known work, but takes varied approaches to «metamorphosis, » exploring its use not only as a theme but as a literary technique. It breaks new ground by clearly demonstrating the close relationship between the Metamorphoses of Apuleius and the Metamorphoses of Ovid. It shows, too, the crucial significance of Isis for understanding Apuleius' mode of composition. Juxtaposing Apuleius' Metamorphoses with several works of modern literature, it also examines some of the transformations which the metamorphosis theme itself has undergone.
Gregor
"Sich als Dummkopf dumm anzustellen, das war ja nichts Besonderes. Aber kein Dummkopf zu sein und trotzdem wie ein solcher durchs Leben zu stolpern, dazu gehörte schon ein großes Maß an fehlgeleiteter Energie." Ein merkwürdiger Mensch, dieser Gregor. Er sieht gut aus, ist jung, gebildet, kultiviert und höflich. Trotzdem hat er keinerlei näheren Kontakt mit dem weiblichen Geschlecht und arbeitet als subalterner Verkäufer in einem Berliner Kaufhaus. Denn aus Treue zu einem Toten hat er als Kind beschlossen, ein Versager zu werden, was ihm hervorragend gelungen zu sein scheint: Er hockt meistens in der Kneipe und wetteifert mit seinen einzigen beiden Freunden, wer von ihnen der größte ...
Operational calculus
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