Sinnvoll24
Classical Topics in Complex Function Theory
Graduate Texts in Mathematics 172
Langbeschreibung
Inhaltsangabe1 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.
Hauptbeschreibung
Ideal for advanced courses in the theory of complex functions, this book leads readers to personally experience function theory and to participate in the work of creative mathematicians. Offers many glimpses of the function theory of several complex variables.
Inhaltsangabe1 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.
Autor*in:
Reinhold Remmert
Art:
Kartoniert
Sprache :
Englisch
ISBN-13:
9781441931146
Verlag:
Springer Verlag GmbH
Erscheinungsdatum:
01.12.2010
Erscheinungsjahr:
2010
Ausgabe:
1/1997
Maße:
23.40x15.60x0.00 cm
Seiten:
352
Gewicht:
575 g