Conformal invariants, inequalities, and quasiconformal maps:
Gespeichert in:
| Hauptverfasser: | , , |
|---|---|
| Format: | Buch |
| Sprache: | English |
| Veröffentlicht: |
New York [u.a.]
Wiley
1997
|
| Schriftenreihe: | Canadian Mathematical Society: Canadian Mathematical Society series of monographs and advanced texts
[19] |
| Schlagworte: | |
| Online-Zugang: | Inhaltsverzeichnis |
| Beschreibung: | XXVII, 505 S. graph. Darst. 1 Diskette; 3,5" |
| ISBN: | 0471594865 |
Internformat
MARC
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| 100 | 1 | |a Anderson, Glen D. |e Verfasser |4 aut | |
| 245 | 1 | 0 | |a Conformal invariants, inequalities, and quasiconformal maps |c Glen D. Anderson ; Mavina K. Vamanamurthy ; Matti K. Vuorinen |
| 264 | 1 | |a New York [u.a.] |b Wiley |c 1997 | |
| 300 | |a XXVII, 505 S. |b graph. Darst. |e 1 Diskette; 3,5" | ||
| 336 | |b txt |2 rdacontent | ||
| 337 | |b n |2 rdamedia | ||
| 338 | |b nc |2 rdacarrier | ||
| 490 | 1 | |a Canadian Mathematical Society: Canadian Mathematical Society series of monographs and advanced texts |v [19] | |
| 650 | 4 | |a Applications quasi conformes | |
| 650 | 4 | |a Invariants conformes | |
| 650 | 4 | |a Inégalités (Mathématiques) | |
| 650 | 4 | |a Conformal invariants | |
| 650 | 4 | |a Inequalities (Mathematics) | |
| 650 | 4 | |a Quasiconformal mappings | |
| 650 | 0 | 7 | |a Funktion |g Mathematik |0 (DE-588)4071510-3 |2 gnd |9 rswk-swf |
| 650 | 0 | 7 | |a Dimension n |0 (DE-588)4309313-9 |2 gnd |9 rswk-swf |
| 650 | 0 | 7 | |a Quasikonforme Abbildung |0 (DE-588)4199279-9 |2 gnd |9 rswk-swf |
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| 689 | 0 | 2 | |a Dimension n |0 (DE-588)4309313-9 |D s |
| 689 | 0 | |8 1\p |5 DE-604 | |
| 700 | 1 | |a Vamanamurthy, Mavina K. |e Verfasser |4 aut | |
| 700 | 1 | |a Vuorinen, Matti K. |e Verfasser |4 aut | |
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| 883 | 1 | |8 1\p |a cgwrk |d 20201028 |q DE-101 |u https://d-nb.info/provenance/plan#cgwrk | |
Datensatz im Suchindex
| _version_ | 1804126112698073088 |
|---|---|
| adam_text | Contents
Preface vii
Notation and Terminology ix
Introduction xv
Survey xix
I BASIC FUNCTIONS
Chapter 1 Hypergeometric Functions 3
Chapter 2 Gamma and Beta Functions 32
Chapter 3 Complete Elliptic Integrals 48
Chapter 4 The Arithmetic Geometric Mean 74
Chapter 5 Quotients of Elliptic Integrals 80
Chapter 6 Elliptic Functions and Conformal Maps 108
II CONFORMAL AND QUASICONFORMAL MAPPINGS
Chapter 7 Geometry ofMb bius Transformations 135
Chapter 8 Conformal Invariants 158
Chapter 9 Quasiconformal Mappings 186
Chapter 10 Distortion Functions in the Plane 203
III n DIMENSIONAL FUNCTIONS
Chapter 11 The Grotzsch Ring Capacity 231
Chapter 12 Estimates for the Grotzsch Ring Constant 247
Chapter 13 Bounds for Distortion Functions 265
V
vi Contents
IV APPLICATIONS
Chapter 14 Quadruples and Quasiconformal Maps 285
Chapter 15 Distances and Quasiconformal Maps 300
Chapter 16 Inequalities for Conformal Invariants 317
V APPENDIXES
Appendix A Hints and Solutions to Exercises 329
Appendix B Computational Notes 424
Appendix C Numerical Tables 457
Appendix D Computer Projects Using MATLAB® and Mathematical 464
Appendix E Formulary 474
Appendix F Conjectures 476
Appendix G Open Problems 478
Appendix H Software Installation 479
References 481
Index 503
|
| any_adam_object | 1 |
| author | Anderson, Glen D. Vamanamurthy, Mavina K. Vuorinen, Matti K. |
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| classification_tum | MAT 537f MAT 303f |
| ctrlnum | (OCoLC)37024123 (DE-599)BVBBV011585291 |
| dewey-full | 515/.9 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 515 - Analysis |
| dewey-raw | 515/.9 |
| dewey-search | 515/.9 |
| dewey-sort | 3515 19 |
| dewey-tens | 510 - Mathematics |
| discipline | Mathematik |
| format | Book |
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| id | DE-604.BV011585291 |
| illustrated | Illustrated |
| indexdate | 2024-07-09T18:12:17Z |
| institution | BVB |
| isbn | 0471594865 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-007802688 |
| oclc_num | 37024123 |
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| owner_facet | DE-91G DE-BY-TUM DE-29T |
| physical | XXVII, 505 S. graph. Darst. 1 Diskette; 3,5" |
| publishDate | 1997 |
| publishDateSearch | 1997 |
| publishDateSort | 1997 |
| publisher | Wiley |
| record_format | marc |
| series | Canadian Mathematical Society: Canadian Mathematical Society series of monographs and advanced texts |
| series2 | Canadian Mathematical Society: Canadian Mathematical Society series of monographs and advanced texts |
| spelling | Anderson, Glen D. Verfasser aut Conformal invariants, inequalities, and quasiconformal maps Glen D. Anderson ; Mavina K. Vamanamurthy ; Matti K. Vuorinen New York [u.a.] Wiley 1997 XXVII, 505 S. graph. Darst. 1 Diskette; 3,5" txt rdacontent n rdamedia nc rdacarrier Canadian Mathematical Society: Canadian Mathematical Society series of monographs and advanced texts [19] Applications quasi conformes Invariants conformes Inégalités (Mathématiques) Conformal invariants Inequalities (Mathematics) Quasiconformal mappings Funktion Mathematik (DE-588)4071510-3 gnd rswk-swf Dimension n (DE-588)4309313-9 gnd rswk-swf Quasikonforme Abbildung (DE-588)4199279-9 gnd rswk-swf Quasikonforme Abbildung (DE-588)4199279-9 s Funktion Mathematik (DE-588)4071510-3 s Dimension n (DE-588)4309313-9 s 1\p DE-604 Vamanamurthy, Mavina K. Verfasser aut Vuorinen, Matti K. Verfasser aut Canadian Mathematical Society: Canadian Mathematical Society series of monographs and advanced texts [19] (DE-604)BV012067942 19 HBZ Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=007802688&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 |
| spellingShingle | Anderson, Glen D. Vamanamurthy, Mavina K. Vuorinen, Matti K. Conformal invariants, inequalities, and quasiconformal maps Canadian Mathematical Society: Canadian Mathematical Society series of monographs and advanced texts Applications quasi conformes Invariants conformes Inégalités (Mathématiques) Conformal invariants Inequalities (Mathematics) Quasiconformal mappings Funktion Mathematik (DE-588)4071510-3 gnd Dimension n (DE-588)4309313-9 gnd Quasikonforme Abbildung (DE-588)4199279-9 gnd |
| subject_GND | (DE-588)4071510-3 (DE-588)4309313-9 (DE-588)4199279-9 |
| title | Conformal invariants, inequalities, and quasiconformal maps |
| title_auth | Conformal invariants, inequalities, and quasiconformal maps |
| title_exact_search | Conformal invariants, inequalities, and quasiconformal maps |
| title_full | Conformal invariants, inequalities, and quasiconformal maps Glen D. Anderson ; Mavina K. Vamanamurthy ; Matti K. Vuorinen |
| title_fullStr | Conformal invariants, inequalities, and quasiconformal maps Glen D. Anderson ; Mavina K. Vamanamurthy ; Matti K. Vuorinen |
| title_full_unstemmed | Conformal invariants, inequalities, and quasiconformal maps Glen D. Anderson ; Mavina K. Vamanamurthy ; Matti K. Vuorinen |
| title_short | Conformal invariants, inequalities, and quasiconformal maps |
| title_sort | conformal invariants inequalities and quasiconformal maps |
| topic | Applications quasi conformes Invariants conformes Inégalités (Mathématiques) Conformal invariants Inequalities (Mathematics) Quasiconformal mappings Funktion Mathematik (DE-588)4071510-3 gnd Dimension n (DE-588)4309313-9 gnd Quasikonforme Abbildung (DE-588)4199279-9 gnd |
| topic_facet | Applications quasi conformes Invariants conformes Inégalités (Mathématiques) Conformal invariants Inequalities (Mathematics) Quasiconformal mappings Funktion Mathematik Dimension n Quasikonforme Abbildung |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=007802688&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
| volume_link | (DE-604)BV012067942 |
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