The Resource Classical topics in complex function theory, Reinhold Remmert ; translated by Leslie Kay

Classical topics in complex function theory, Reinhold Remmert ; translated by Leslie Kay

Label
Classical topics in complex function theory
Title
Classical topics in complex function theory
Statement of responsibility
Reinhold Remmert ; translated by Leslie Kay
Creator
Subject
Language
  • eng
  • ger
  • eng
Summary
"This book is an ideal text for an advanced course in the theory of complex functions. The author leads the reader to experience function theory personally and to participate in the work of the creative mathematician. The book contains numerous glimpses of the function theory of several complex variables, which illustrate how autonomous this discipline has become. Topics covered include Weierstrass's product theorem, Mittag-Leffler's theorem, the Riemann mapping theorem, and Runge's theorems on approximation of analytic functions. In addition to these standard topics, the reader will find Eisenstein's proof of Euler's product formula for the sine function; Wielandt's uniqueness theorem for the gamma function and applications; a detailed discussion of Stirling's formula; Iss'sa's theorem; Besse's proof that all domains in C are domains of holomorphy; Wedderburn's lemma and the ideal theory of rings of holomorphic functions; Estermann's proofs of the overconvergence theorem and Bloch's theorem; a holomorphic imbedding of the unit disc in C[superscript 3]; and Gauss's expert opinion of November 1851 on Riemann's dissertation." "Remmert 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, will make this book an invaluable source for students and teachers."--Jacket
Member of
Cataloging source
DLC
http://library.link/vocab/creatorName
Remmert, Reinhold
Illustrations
illustrations
Index
index present
LC call number
QA331.7
LC item number
.R4613 1998
Literary form
non fiction
Nature of contents
bibliography
http://library.link/vocab/subjectName
  • Functions of complex variables
  • application
  • produit infini
  • fonction complexe
  • Fonctions d'une variable complexe
  • Functions of complex variables
  • Functies (wiskunde)
  • Complexe variabelen
  • Funcoes (matematica)
  • Fonctions d'une variable complexe
  • Funktionentheorie
Label
Classical topics in complex function theory, Reinhold Remmert ; translated by Leslie Kay
Instantiates
Publication
Note
Translation of: Funktionentheorie II
Bibliography note
Includes bibliographical references and indexes
Carrier category
volume
Carrier category code
nc
Carrier MARC source
rdacarrier
Content category
text
Content type code
txt
Content type MARC source
rdacontent
Dimensions
24 cm.
Extent
xix, 349 pages
Isbn
9780387982212
Lccn
97010091
Media category
unmediated
Media MARC source
rdamedia
Media type code
n
Other physical details
illustrations
System control number
  • (OCoLC)36521048
  • (OCoLC)ocm36521048
Label
Classical topics in complex function theory, Reinhold Remmert ; translated by Leslie Kay
Publication
Note
Translation of: Funktionentheorie II
Bibliography note
Includes bibliographical references and indexes
Carrier category
volume
Carrier category code
nc
Carrier MARC source
rdacarrier
Content category
text
Content type code
txt
Content type MARC source
rdacontent
Dimensions
24 cm.
Extent
xix, 349 pages
Isbn
9780387982212
Lccn
97010091
Media category
unmediated
Media MARC source
rdamedia
Media type code
n
Other physical details
illustrations
System control number
  • (OCoLC)36521048
  • (OCoLC)ocm36521048

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