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Beschreibung
This is the fourth edition of Serge Lang's Complex Analysis. The
first part of the book covers the basic material of complex analysis,
and the second covers many special topics, such as the Riemann Mapping
Theorem, the gamma function, and analytic continuation. Power series
methods are used more systematically than in other texts, and the
proofs using these methods often shed more light on the results than
the standard proofs do.
This is the fourth edition of Serge Lang's Complex Analysis. The
first part of the book covers the basic material of complex analysis,
and the second covers many special topics, such as the Riemann Mapping
Theorem, the gamma function, and analytic continuation. Power series
methods are used more systematically than in other texts, and the
proofs using these methods often shed more light on the results than
the standard proofs do.
Zusammenfassung
This is the fourth edition of Serge Lang's Complex Analysis. The
first part of the book covers the basic material of complex analysis,
and the second covers many special topics, such as the Riemann Mapping
Theorem, the gamma function, and analytic continuation. Power series
methods are used more systematically than in other texts, and the
proofs using these methods often shed more light on the results than
the standard proofs do.
Inhaltsverzeichnis
I: BASIC THEORY. 1: Complex Numbers and Functions. 2: Power Series. 3: Cauchy's Theorem, First Part. 4: Winding Numbers and Cauchy's Theorem. 5: Applications of Cauchy's Integral Formula. 6: Calculus of Residues. 7: Conformal Mappings. 8: Harmonic Functions. II: GEOMETRIC FUNCTION THEORY. 9: Schwarz Reflection. 10: The Riemann Mapping Theorem. 11: Analytic Continuation Along Curves. III: VARIOUS ANALYTIC TOPICS. 12: Applications of the Maximum Modulus Principle and Jensen's Formula. 13: Entire and Meromorphic Functions. 14: Elliptic Functions. 15: The Gamma and Zeta Functions. 16: The Prime Number Theorem.
Details
Erscheinungsjahr: 2010
Fachbereich: Analysis
Genre: Importe, Mathematik
Rubrik: Naturwissenschaften & Technik
Medium: Taschenbuch
Inhalt: xiv
489 S.
ISBN-13: 9781441931351
ISBN-10: 144193135X
Sprache: Englisch
Einband: Kartoniert / Broschiert
Autor: Lang, Serge
Auflage: Fourth Edition 1999
Hersteller: Springer
Springer US, New York, N.Y.
Verantwortliche Person für die EU: Springer Verlag GmbH, Tiergartenstr. 17, D-69121 Heidelberg, juergen.hartmann@springer.com
Maße: 235 x 155 x 28 mm
Von/Mit: Serge Lang
Erscheinungsdatum: 19.11.2010
Gewicht: 0,762 kg
Artikel-ID: 107152377