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Bücher Englische Bücher Wissen & Bildung Naturwissenschaft, Medizin, Informatik, Technik Mathematik Analysis Integral Transformations, Operational Calculus, and Generalized Functions
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Integral Transformations, Operational Calculus, and Generalized Functions
R.G. Buschman (Gebundene Ausgabe, Englisch)
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Beschreibung
It is not the object of the author to present comprehensive cov erage of any particular integral transformation or of any particular development of generalized functions, for there are books available in which this is done. Rather, this consists more of an introductory survey in which various ideas are explored. The Laplace transforma tion is taken as the model type of an integral transformation… and a number of its properties are developed; later, the Fourier transfor mation is introduced. The operational calculus of Mikusinski is pre sented as a method of introducing generalized functions associated with the Laplace transformation. The construction is analogous to the construction of the rational numbers from the integers. Further on, generalized functions associated with the problem of extension of the Fourier transformation are introduced. This construction is anal ogous to the construction of the reals from the rationals by means of Cauchy sequences. A chapter with sections on a variety of trans formations is adjoined. Necessary levels of sophistication start low in the first chapter, but they grow considerably in some sections of later chapters. Background needs are stated at the beginnings of each chapter. Many theorems are given without proofs, which seems appro priate for the goals in mind. A selection of references is included. Without showing many of the details of rigor it is hoped that a strong indication is given that a firm mathematical foundation does actu ally exist for such entities as the "Dirac delta-function". Dieses Produkt haben wir gerade leider nicht auf Lager.
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Technische Daten
Erscheinungsdatum
31.07.1996
Sprache
Englisch
EAN
9780792341833
Herausgeber
Springer US
Serien- oder Bandtitel
Mathematics and Its Applications
Sonderedition
Nein
Autor
R.G. Buschman
Seitenanzahl
240
Einbandart
Gebundene Ausgabe
Einbandart Details
Laminiert
Schlagwörter
Fourier transform, calculus, differential equation, distribution, integral transform, operational calculus
Thema-Inhalt
PBKL - Integralrechnung und -gleichungen
Höhe
235 mm
Breite
15.5 cm
Transparenz & Sicherheit
Hersteller: Springer Nature B.V., ProductSafety@springernature.com, Springer Nature Customer Service Center GmbH
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