Selected Topics in the Classical Theory of Functions of a Complex Variable PDF Download
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Author: Maurice Heins
Publisher: Courier Corporation
ISBN: 0486789764
Category : Mathematics
Languages : en
Pages : 180
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Book Description
Elegant and concise, this text explores properties of meromorphic functions, Picard theorem, harmonic and subharmonic functions, applications, and boundary behavior of the Riemann mapping function for simply connected Jordan regions. 1962 edition.
Author: Maurice Heins
Publisher: Courier Corporation
ISBN: 0486789764
Category : Mathematics
Languages : en
Pages : 180
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Book Description
Elegant and concise, this text explores properties of meromorphic functions, Picard theorem, harmonic and subharmonic functions, applications, and boundary behavior of the Riemann mapping function for simply connected Jordan regions. 1962 edition.
Author: Maurice Heins
Publisher:
ISBN:
Category :
Languages : en
Pages : 160
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Book Description
Author:
Publisher:
ISBN:
Category :
Languages : en
Pages : 182
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Book Description
Author: Mario Gonzalez
Publisher: Routledge
ISBN: 1351459384
Category : Mathematics
Languages : en
Pages : 544
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Book Description
A selection of some important topics in complex analysis, intended as a sequel to the author's Classical complex analysis (see preceding entry). The five chapters are devoted to analytic continuation; conformal mappings, univalent functions, and nonconformal mappings; entire function; meromorphic fu
Author: John Stalker
Publisher: Springer Science & Business Media
ISBN: 0817649190
Category : Mathematics
Languages : en
Pages : 238
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Book Description
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.
Author: Reinhold Remmert
Publisher: Springer Science & Business Media
ISBN: 1475729561
Category : Mathematics
Languages : en
Pages : 362
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Book Description
An ideal text for an advanced course in the theory of complex functions, this book leads readers to experience function theory personally and to participate in the work of the creative mathematician. The author includes numerous glimpses of the function theory of several complex variables, which illustrate how autonomous this discipline has become. In addition to standard topics, readers will find Eisenstein's proof of Euler's product formula for the sine function; Wielandts uniqueness theorem for the gamma function; Stirlings formula; Isssas theorem; Besses proof that all domains in C are domains of holomorphy; Wedderburns lemma and the ideal theory of rings of holomorphic functions; Estermanns proofs of the overconvergence theorem and Blochs theorem; a holomorphic imbedding of the unit disc in C3; and Gausss expert opinion on Riemanns dissertation. Remmert elegantly presents the material in short clear sections, with compact proofs and historical comments interwoven throughout the text. The abundance of examples, exercises, and historical remarks, as well as the extensive bibliography, combine to make an invaluable source for students and teachers alike
Author: Moffatt Grier Boyce
Publisher:
ISBN:
Category : Functions
Languages : en
Pages : 292
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Book Description
Author: Gordon Richard Magee
Publisher:
ISBN:
Category : Functions
Languages : en
Pages : 314
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Book Description
Author: Harold John Kersten
Publisher:
ISBN:
Category : Functions
Languages : en
Pages : 332
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Book Description
Author: John B. Conway
Publisher: Springer Science & Business Media
ISBN: 1461263131
Category : Mathematics
Languages : en
Pages : 331
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Book Description
"This book presents a basic introduction to complex analysis in both an interesting and a rigorous manner. It contains enough material for a full year's course, and the choice of material treated is reasonably standard and should be satisfactory for most first courses in complex analysis. The approach to each topic appears to be carefully thought out both as to mathematical treatment and pedagogical presentation, and the end result is a very satisfactory book." --MATHSCINET
