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Asymptotic Analysis
Ricardo Estrada (Gebundene Ausgabe, Englisch)
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Beschreibung
Asymptotic analysis is an old subject that has found applications in vari ous fields of pure and applied mathematics, physics and engineering. For instance, asymptotic techniques are used to approximate very complicated integral expressions that result from transform analysis. Similarly, the so lutions of differential equations can often be computed with great accuracy by taking the sum of a few… terms of the divergent series obtained by the asymptotic calculus. In view of the importance of these methods, many excellent books on this subject are available [19], [21], [27], [67], [90], [91], [102], [113]. An important feature of the theory of asymptotic expansions is that experience and intuition play an important part in it because particular problems are rather individual in nature. Our aim is to present a sys tematic and simplified approach to this theory by the use of distributions (generalized functions). The theory of distributions is another important area of applied mathematics, that has also found many applications in mathematics, physics and engineering. It is only recently, however, that the close ties between asymptotic analysis and the theory of distributions have been studied in detail [15], [43], [44], [84], [92], [112]. As it turns out, generalized functions provide a very appropriate framework for asymptotic analysis, where many analytical operations can be performed, and also pro vide a systematic procedure to assign values to the divergent integrals that often appear in the literature. Dieses Produkt haben wir gerade leider nicht auf Lager.
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Technische Daten
Erscheinungsdatum
01.12.1993
Sprache
Englisch
EAN
9780817637163
Herausgeber
Birkhäuser Boston
Sonderedition
Nein
Autor
Ricardo Estrada
Seitenanzahl
258
Einbandart
Gebundene Ausgabe
Buch Untertitel
A Distributional Approach
Schlagwörter
perturbation theory, Power, Moment, differential equation, integral, perturbation, generalized function, Taylor series, distribution, Kernel, calculus, derivative
Thema-Inhalt
PBKJ - Differentialrechnung und -gleichungen
PBT - Wahrscheinlichkeitsrechnung und Statistik
PBWL - Stochastik
Höhe
235 mm
Breite
15.5 cm
-.-
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