Complex Analysis : Fundamentals of the Classical Theory of Functions

Language: English

Published by Birkhäuser, Birkhäuser, 2009

0817649182 / 9780817649180

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Seller: AHA-BUCH GmbH, Einbeck, GermanyAHA-BUCH GmbH

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Druck auf Anfrage Neuware - Printed after ordering - 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.

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Title
Complex Analysis : Fundamentals of the Classical Theory of Functions
Author
John Stalker
Publisher
Birkhäuser, Birkhäuser
Publication year
2009
Condition
Neu
Binding
Taschenbuch
Language
English
ISBN 10
0817649182
ISBN 13
9780817649180
Item weight
376 grams
Dimensions
235x155x14 mm

AHA-BUCH GmbH

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