Complex Analysis | Fundamentals of the Classical Theory of Functions
John Stalker
ISBN 10: 0817649182 ISBN 13: 9780817649180
Edité par Birkhäuser, 2009
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Complex Analysis | Fundamentals of the Classical Theory of Functions | John Stalker | Taschenbuch | xi | Englisch | 2009 | Birkhäuser | EAN 9780817649180 | Verantwortliche Person für die EU: Springer Basel AG in Springer Science + Business Media, Heidelberger Platz 3, 14197 Berlin, juergen[dot]hartmann[at]springer[dot]com | Anbieter: preigu. N° de réf. du vendeur 101511972
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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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Titre : Complex Analysis | Fundamentals of the ...
Éditeur : Birkhäuser
Date d'édition : 2009
Reliure : Taschenbuch
Etat : Neu
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Complex Analysis - Fundamentals of the Classical Theory of Functions - Modern Birkhäuser Classics
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Birkhäuser, Boston, 2009
ISBN 10 : 0817649182
ISBN 13 : 9780817649180
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Hardcover. Etat : Very Good+. Etat de la jaquette : No Dust Jacket. First Edition (?); First Impression. A refreshingly example-driven approach to the classical theory of one complex variable. Beginning with chapters on special functions (including gamma, elliptic, and modular functions) and analytic functions before introducing foundational theorems, this unconventional text reverses the usual order of presentation found in older classics such as Whittaker & Watson placing concrete motivation before abstraction. ; 15.8x23.7x2cm; xi,228 pages. N° de réf. du vendeur 64124
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Complex Analysis
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Birkhäuser Boston, 2009
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ISBN 13 : 9780817649180
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Complex Analysis
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Birkhäuser Boston, Birkhäuser Boston Okt 2009, 2009
ISBN 10 : 0817649182
ISBN 13 : 9780817649180
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Taschenbuch. Etat : Neu. Neuware -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.Springer Basel AG in Springer Science + Business Media, Heidelberger Platz 3, 14197 Berlin 244 pp. Englisch. N° de réf. du vendeur 9780817649180
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Complex Analysis
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Birkhäuser Boston Okt 2009, 2009
ISBN 10 : 0817649182
ISBN 13 : 9780817649180
Neuf
Taschenbuch
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Taschenbuch. Etat : Neu. This item is printed on demand - it takes 3-4 days longer - Neuware -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. 244 pp. Englisch. N° de réf. du vendeur 9780817649180
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Complex Analysis : Fundamentals of the Classical Theory of Functions
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Complex Analysis : Fundamentals of the Classical Theory of Functions
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Birkhäuser, Birkhäuser, 2009
ISBN 10 : 0817649182
ISBN 13 : 9780817649180
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Taschenbuch. Etat : Neu. 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. N° de réf. du vendeur 9780817649180
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