Classical Topics in Complex Function Theory (Graduate Texts in Mathematics (172))

Remmert, Reinhold

ISBN 10: 1441931147 / ISBN 13: 9781441931146

Editore: Springer, 2010

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Dati bibliografici

• Titolo: Classical Topics in Complex Function Theory (Graduate Texts in Mathematics (172))
• Editore: Springer
• Data di pubblicazione: 2010
• Lingua: Inglese
• ISBN 10: 1441931147
• ISBN 13: 9781441931146
• Rilegatura: Paperback
• Condizione: Like New
• Tipo di libro: book

Descrizione articolo

Riassunto

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.

Contenuti

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.