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ISBN: 9781441931146

[ED: Softcover], [PU: Springer / Springer New York / Springer, Berlin], An ideal text for an advanced course in the theory of complex functions, this book leads readers to experience func… Plus…

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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 ma… Plus…

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Reinhold Remmert:
Classical Topics in Complex Function Theory - Livres de poche

2010

ISBN: 1441931147

[EAN: 9781441931146], Neubuch, [PU: Springer New York], HOLOMORPHICFUNCTION ANALYTICFUNCTION CONVERGENCE GAMMAFUNCTION MATHEMATIK ANALYSIS ANALYTIC FUNCTION GAMMA HOLOMORPHIC MATHEMATISCH… Plus…

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Classical Topics in Complex Function Theory: 172 (Graduate Texts in Mathematics, 172) - Livres de poche

2010, ISBN: 9781441931146

Translator: Kay, L.D. Springer, Paperback, Auflage: Softcover reprint of hardcover 1st ed. 1997, 371 Seiten, Publiziert: 2010-12-01T00:00:01Z, Produktgruppe: Book, 0.53 kg, Mathematical A… Plus…

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Reinhold Remmert, L.D. Kay (Translator):
Classical Topics in Complex Function Theory (Graduate Texts in Mathematics) - Livres de poche

2010, ISBN: 9781441931146

Edition reliée

Springer, 2010-12-01. Softcover reprint of hardcover 1. Paperback. Used:Good., Springer, 2010-12-01, 0

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Classical Topics in Complex Function Theory Reinhold Remmert Author

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

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EAN (ISBN-13): 9781441931146
ISBN (ISBN-10): 1441931147
Version reliée
Livre de poche
Date de parution: 2010
Editeur: Springer New York Core >1 >T
376 Pages
Poids: 0,567 kg
Langue: eng/Englisch

Livre dans la base de données depuis 2011-05-25T16:27:49+02:00 (Zurich)
Page de détail modifiée en dernier sur 2024-03-26T16:30:25+01:00 (Zurich)
ISBN/EAN: 9781441931146

ISBN - Autres types d'écriture:
1-4419-3114-7, 978-1-4419-3114-6
Autres types d'écriture et termes associés:
Auteur du livre: remmert reinhold, remm, eisenstein
Titre du livre: classical theory, theory complex, graduate texts mathematics


Données de l'éditeur

Auteur: Reinhold Remmert
Titre: Graduate Texts in Mathematics; Classical Topics in Complex Function Theory
Editeur: Springer; Springer US
352 Pages
Date de parution: 2010-12-01
New York; NY; US
Imprimé / Fabriqué en
Traducteur: L.D. Kay
Langue: Anglais
60,98 € (DE)
62,69 € (AT)
67,50 CHF (CH)
POD
XIX, 352 p. 39 illus.

BC; Hardcover, Softcover / Mathematik/Analysis; Mathematische Analysis, allgemein; Verstehen; analytic function; convergence; gamma function; holomorphic function; Analysis; BB

1 Infinite Products of Holomorphic Functions.- 2 The Gamma Function.- 3 Entire Functions with Prescribed Zeros.- 4* Holomorphic Functions with Prescribed Zeros.- 5 Iss’sa’s Theorem. Domains of Holomorphy.- 6 Functions with Prescribed Principal Parts.- 7 The Theorems of Montel and Vitali.- 8 The Riemann Mapping Theorem.- 9 Automorphisms and Finite Inner Maps.- 10 The Theorems of Bloch, Picard, and Schottky.- 11 Boundary Behavior of Power Series.- 12 Runge Theory for Compact Sets.- 13 Runge Theory for Regions.- 14 Invariance of the Number of Holes.- Short Biographies.- Symbol Index.- Name Index.

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