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Inversion theory and conformal mapping:

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Bibliographic Details
Main Author:	Blair, David E. 1940- (Author)
Format:	Book
Language:	English
Published:	Providence, RI American Mathematical Society 2000
Series:	Student Mathematical Library 9
Subjects:	Inversionstheorie - Konforme Abbildung Inversion > Mathematik Konforme Abbildung
Links:	http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=009057937&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA
Physical Description:	X, 118 Seiten graph. Darst.
ISBN:	0821826360

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Record in the Search Index

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adam_text	Contents Preface ix Chapter 1. Classical Inversion Theory in the Plane 1 §1.1. Definition and basic properties 1 §1.2. Cross ratio 9 §1.3. Applications 14 §1.4. Miquel s Theorem 17 §1.5. Feuerbach s Theorem 21 Chapter 2. Linear Fractional Transformations 27 §2.1. Complex numbers 27 §2.2. The extended complex plane and stereographic projection 29 §2.3. Linear fractional transformations 34 §2.4. Cross ratio 37 §2.5. Some special linear fractional transformations 39 §2.6. Extended Mobius transformations 43 §2.7. The Poincare models of hyperbolic geometry 52 vii viii Contents §2.8. A distortion theorem 59 Chapter 3. Advanced Calculus and Conformal Maps 63 §3.1. Review of advanced calculus 63 §3.2. Inner products 70 §3.3. Conformal maps 73 Chapter 4. Conformal Maps in the Plane 75 §4.1. Complex function theory 75 §4.2. Abundance of conformal maps 78 Chapter 5. Conformal Maps in Euclidean Space 83 §5.1. Inversion in spheres 83 §5.2. Conformal maps in Euclidean space 87 §5.3. Sphere preserving transformations 92 Chapter 6. The Classical Proof of Liouville s Theorem 95 §6.1. Surface theory 95 §6.2. The classical proof 103 Chapter 7. When Does Inversion Preserve Convexity? 107 §7.1. Curve theory and convexity 107 §7.2. Inversion and convexity 110 §7.3. The problem for convex bodies 114 Bibliography 115 Index 117
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spellingShingle	Blair, David E. 1940- Inversion theory and conformal mapping Student Mathematical Library Inversionstheorie - Konforme Abbildung Inversion Mathematik (DE-588)4162235-2 gnd Konforme Abbildung (DE-588)4164968-0 gnd
subject_GND	(DE-588)4162235-2 (DE-588)4164968-0
title	Inversion theory and conformal mapping
title_auth	Inversion theory and conformal mapping
title_exact_search	Inversion theory and conformal mapping
title_full	Inversion theory and conformal mapping David E. Blair
title_fullStr	Inversion theory and conformal mapping David E. Blair
title_full_unstemmed	Inversion theory and conformal mapping David E. Blair
title_short	Inversion theory and conformal mapping
title_sort	inversion theory and conformal mapping
topic	Inversionstheorie - Konforme Abbildung Inversion Mathematik (DE-588)4162235-2 gnd Konforme Abbildung (DE-588)4164968-0 gnd
topic_facet	Inversionstheorie - Konforme Abbildung Inversion Mathematik Konforme Abbildung
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Call Number:	0202 MAT 303f 2003 A 111 Floor plan
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