Complex Analysis - Fundamentals of the Classical Theory of Functions (Paperback, 1st ed. 1998. 2nd printing 2009. Softcover reprint of the original 1st ed. 1998)

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."

General

Imprint:	Birkhauser Boston
Country of origin:	United States
Series:	Modern Birkhauser Classics
Release date:	October 2009
First published:	1998
Authors:	John Stalker
Dimensions:	235 x 155 x 15mm (L x W x T)
Format:	Paperback
Pages:	228
Edition:	1st ed. 1998. 2nd printing 2009. Softcover reprint of the original 1st ed. 1998
ISBN-13:	978-0-8176-4918-0
Categories:	Books > Science & Mathematics > Mathematics > Calculus & mathematical analysis > Complex analysis Promotions
LSN:	0-8176-4918-2
Barcode:	9780817649180

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