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Complex Analysis
John Stalker (Unbekannter Einband, Englisch)
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Beschreibung
All modem introductions to complex analysis follow, more or less explicitly, the pattern laid down in Whittaker and Watson [75]. In "part I'' we find the foundational material, the basic definitions and theorems. In "part II" we find the examples and applications. Slowly we begin to understand why we read part I. Historically this is an anachronism. Pedagogically it is a disaster. Part II in fact… predates part I, so clearly it can be taught first. Why should the student have to wade through hundreds of pages before finding out what the subject is good for? In teaching complex analysis this way, we risk more than just boredom. Beginning with a series of unmotivated definitions gives a misleading impression of complex analy sis in particular and of mathematics in general. The classical theory of analytic functions did not arise from the idle speculation of bored mathematicians on the possible conse quences of an arbitrary set of definitions; it was the natural, even inevitable, consequence of the practical need to answer questions about specific examples. In standard texts, after hundreds of pages of theorems about generic analytic functions with only the rational and trigonometric functions as examples, students inevitably begin to believe that the purpose of complex analysis is to produce more such theorems. We require introductory com plex analysis courses of our undergraduates and graduates because it is useful both within mathematics and beyond. Dieses Produkt haben wir gerade leider nicht auf Lager.
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Technische Daten
Erscheinungsdatum
21.10.2009
Sprache
Englisch
EAN
9780817649180
Herausgeber
Birkhäuser Boston
Serien- oder Bandtitel
Modern Birkhäuser Classics
Sonderedition
Nein
Autor
John Stalker
Seitenanzahl
228
Einbandart
Broschiert
Buch Untertitel
Fundamentals of the Classical Theory of Functions
Schlagwörter
Complex analysis, Einstein Series, Euler-MacLaurin Summation, Hypergeometric Function, Meromorphic function, Metamorphic Functions, Stirling's Series, Variable, Whittaker Function, calculus, contour integration, function, gamma function, mathematics, theorem
Thema-Inhalt
PBKD - Komplexe Analysis, komplexe Variablen, Funktionentheorie
Höhe
235 mm
Breite
15.5 cm
Hersteller: Birkhäuser, Europaplatz 3, Heidelberg, Deutschland, 69115, ProductSafety@springernature.com, Springer Nature Customer Service Center GmbH
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