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Main Author:	Lang, Serge 1927-2005 (Author)
Format:	Book
Language:	English
Published:	New York [u.a.] Springer 2002
Edition:	4. ed., 5. print.
Series:	Graduate texts in mathematics 103
Subjects:	Funktionentheorie Funktionalanalysis Einführung Aufgabensammlung
Online Access:	Inhaltsverzeichnis
Physical Description:	XIV, 485 S. Ill., graph. Darst.
ISBN:	9780387985923 0387985921

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MARC


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adam_text	Contents Foreword Prerequisites PART ONE Basic Theory CHAPTER I Complex Numbers and Functions §1. §2. §3. §4. Compact Sets §5. §6. §7. CHAPTER II Power Series §1. §2. §3. Sums and Products Quotients Composition of Series §4. §5. xi XU CONTENTS §6. §7. CHAPTER III Cauchy s Theorem, First Part §1. Appendix: Connectedness §2. §3. §4. §5. §6. §7. CHAPTER IV Winding Numbers and Cauchy s Theorem §1. §2. Dixon s Proof of Theorem §3. CHAPTER V Applications of Cauchy s Integral Formula §1. §2. §3. Removable Singularities Poles Essential Singularities CHAPTER VI Calculus of Residues §1. Residues of Differentials §2. Fourier Transforms Trigonometric Integrals Mellin Transforms CHAPTER Conformai §1. Schwarz §2. §3. §4. §5. CONTENTS xiii CHAPTER Harmonic Functions §1. Application: Perpendicularity Application: Flow Lines §2. §3. §4. The §5. §6. PART TWO Geometric Function Theory CHAPTER IX Schwarz §1. Schwarz §2. §3. CHAPTER X The Riemann Mapping Theorem §1. §2. §3. §4. CHAPTER XI Analytic Continuation Along Curves §1. §2. §3. PART THREE Various Analytic Topics CHAPTER Applications of the Maximum Modulus Principle and Jensen s Formula §1. §2. §3. §4. Hermite Interpolation Formula §5. §6. XIV CHAPTER Entire and Meromorphic Functions §1. §2. §3. §4. CHAPTER Elliptic Functions §1. §2. §3. §4. CHAPTER XV The Gamma and §1. §2. Weierstrass The Gauss Multiplication Formula (Distribution Relation) The (Other) Gauss Formula The Mellin Transform The Stirling Formula Proof of Stirling s Formula §3. §4. CHAPTER The Prime Number Theorem §1. §2. §3. Appendix §1. §2. §3. §4. §5. §6. §7. Bibliography Index
adam_txt	Contents Foreword Prerequisites PART ONE Basic Theory CHAPTER I Complex Numbers and Functions §1. §2. §3. §4. Compact Sets §5. §6. §7. CHAPTER II Power Series §1. §2. §3. Sums and Products Quotients Composition of Series §4. §5. xi XU CONTENTS §6. §7. CHAPTER III Cauchy's Theorem, First Part §1. Appendix: Connectedness §2. §3. §4. §5. §6. §7. CHAPTER IV Winding Numbers and Cauchy's Theorem §1. §2. Dixon's Proof of Theorem §3. CHAPTER V Applications of Cauchy's Integral Formula §1. §2. §3. Removable Singularities Poles Essential Singularities CHAPTER VI Calculus of Residues §1. Residues of Differentials §2. Fourier Transforms Trigonometric Integrals Mellin Transforms CHAPTER Conformai §1. Schwarz §2. §3. §4. §5. CONTENTS xiii CHAPTER Harmonic Functions §1. Application: Perpendicularity Application: Flow Lines §2. §3. §4. The §5. §6. PART TWO Geometric Function Theory CHAPTER IX Schwarz §1. Schwarz §2. §3. CHAPTER X The Riemann Mapping Theorem §1. §2. §3. §4. CHAPTER XI Analytic Continuation Along Curves §1. §2. §3. PART THREE Various Analytic Topics CHAPTER Applications of the Maximum Modulus Principle and Jensen's Formula §1. §2. §3. §4. Hermite Interpolation Formula §5. §6. XIV CHAPTER Entire and Meromorphic Functions §1. §2. §3. §4. CHAPTER Elliptic Functions §1. §2. §3. §4. CHAPTER XV The Gamma and §1. §2. Weierstrass The Gauss Multiplication Formula (Distribution Relation) The (Other) Gauss Formula The Mellin Transform The Stirling Formula Proof of Stirling's Formula §3. §4. CHAPTER The Prime Number Theorem §1. §2. §3. Appendix §1. §2. §3. §4. §5. §6. §7. Bibliography Index
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spelling	Lang, Serge 1927-2005 Verfasser (DE-588)119305119 aut Complex analysis Serge Lang 4. ed., 5. print. New York [u.a.] Springer 2002 XIV, 485 S. Ill., graph. Darst. txt rdacontent n rdamedia nc rdacarrier Graduate texts in mathematics 103 Funktionentheorie (DE-588)4018935-1 gnd rswk-swf Funktionalanalysis (DE-588)4018916-8 gnd rswk-swf 1\p (DE-588)4151278-9 Einführung gnd-content 2\p (DE-588)4143389-0 Aufgabensammlung gnd-content Funktionentheorie (DE-588)4018935-1 s DE-604 Funktionalanalysis (DE-588)4018916-8 s 3\p DE-604 Graduate texts in mathematics 103 (DE-604)BV000000067 103 Digitalisierung UB Regensburg application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=015678521&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis 1\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk 2\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk 3\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk
spellingShingle	Lang, Serge 1927-2005 Complex analysis Graduate texts in mathematics Funktionentheorie (DE-588)4018935-1 gnd Funktionalanalysis (DE-588)4018916-8 gnd
subject_GND	(DE-588)4018935-1 (DE-588)4018916-8 (DE-588)4151278-9 (DE-588)4143389-0
title	Complex analysis
title_auth	Complex analysis
title_exact_search	Complex analysis
title_exact_search_txtP	Complex analysis
title_full	Complex analysis Serge Lang
title_fullStr	Complex analysis Serge Lang
title_full_unstemmed	Complex analysis Serge Lang
title_short	Complex analysis
title_sort	complex analysis
topic	Funktionentheorie (DE-588)4018935-1 gnd Funktionalanalysis (DE-588)4018916-8 gnd
topic_facet	Funktionentheorie Funktionalanalysis Einführung Aufgabensammlung
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