Complex numbers in geometry:
Saved in:
| Main Author: | |
|---|---|
| Format: | Book |
| Language: | English |
| Published: |
New York u.a.
Acad. Pr.
1968
|
| Series: | Academic paperbacks
|
| Subjects: | |
| Online Access: | Inhaltsverzeichnis |
| Physical Description: | XII, 243 S. |
Staff View
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Record in the Search Index
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| adam_text | Contents
Translator s Note v
Preface vii
Chapter I: Three Types of Complex Numbers
1. Ordinary Complex Numbers 1
2. Generalized Complex Numbers 7
3. The Most General Complex Numbers 10
4. Dual Numbers 14
5. **Double Numbers 18
6. **Hypercomplex Numbers 22
Chapter II: Geometrical Interpretation of
Complex Numbers
1. Ordinary Complex Numbers as Points of a Plane 26
8. * Applications and Examples 34
9. Dual Numbers as Oriented Lines of a Plane 80
10. * Applications and Examples 95
11. ^Interpretation of Ordinary Complex Numbers
in the Lobachevskii Plane 108
12. **Double Numbers as Oriented Lines of the
Lobachevskii Plane 118
xi
xii Contents
Chapter III: Circular Transformations and
Circular Geometry
13. Ordinary Circular Transformations
(Mobius Transformations) 130
14. *Applications and Examples 145
15. Axial Circular Transformations
(Laguerre Transformations) 157
16. * Applications and Examples 171
17. **Circular Transformations of the Lobachevskii
Plane 179
18. **Axial Circular Transformations of the
Lobachevskii Plane 188
Appendix: Non Euclidean Geometries in the Plane
and Complex Numbers
Al. Non Euclidean Geometries in the Plane 195
A2. Complex Coordinates of Points and Lines of the
Plane Non Euclidean Geometries 205
A3. Cycles and Circular Transformations 212
Addenda 220
Index 241
|
| any_adam_object | 1 |
| author | Jaglom, Isaak M. 1921-1988 |
| author_GND | (DE-588)117713511 |
| author_facet | Jaglom, Isaak M. 1921-1988 |
| author_role | aut |
| author_sort | Jaglom, Isaak M. 1921-1988 |
| author_variant | i m j im imj |
| building | Verbundindex |
| bvnumber | BV002745311 |
| classification_rvk | SK 380 |
| ctrlnum | (OCoLC)258561139 (DE-599)BVBBV002745311 |
| discipline | Mathematik |
| format | Book |
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| indexdate | 2024-07-09T15:49:00Z |
| institution | BVB |
| language | English |
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| physical | XII, 243 S. |
| publishDate | 1968 |
| publishDateSearch | 1968 |
| publishDateSort | 1968 |
| publisher | Acad. Pr. |
| record_format | marc |
| series2 | Academic paperbacks |
| spelling | Jaglom, Isaak M. 1921-1988 Verfasser (DE-588)117713511 aut Kompleksnye cisla i ich primenenie v geometrii Complex numbers in geometry by I. M. Yaglom New York u.a. Acad. Pr. 1968 XII, 243 S. txt rdacontent n rdamedia nc rdacarrier Academic paperbacks Komplexe Zahl - Elementargeometrie Komplexe Zahl - Hyperbolische Geometrie Algebraische Geometrie (DE-588)4001161-6 gnd rswk-swf Geometrie (DE-588)4020236-7 gnd rswk-swf Komplexe Zahl (DE-588)4128698-4 gnd rswk-swf Nichteuklidische Geometrie (DE-588)4042073-5 gnd rswk-swf (DE-588)4151278-9 Einführung gnd-content Algebraische Geometrie (DE-588)4001161-6 s DE-604 Nichteuklidische Geometrie (DE-588)4042073-5 s Komplexe Zahl (DE-588)4128698-4 s Geometrie (DE-588)4020236-7 s HBZ Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=001755341&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Jaglom, Isaak M. 1921-1988 Complex numbers in geometry Komplexe Zahl - Elementargeometrie Komplexe Zahl - Hyperbolische Geometrie Algebraische Geometrie (DE-588)4001161-6 gnd Geometrie (DE-588)4020236-7 gnd Komplexe Zahl (DE-588)4128698-4 gnd Nichteuklidische Geometrie (DE-588)4042073-5 gnd |
| subject_GND | (DE-588)4001161-6 (DE-588)4020236-7 (DE-588)4128698-4 (DE-588)4042073-5 (DE-588)4151278-9 |
| title | Complex numbers in geometry |
| title_alt | Kompleksnye cisla i ich primenenie v geometrii |
| title_auth | Complex numbers in geometry |
| title_exact_search | Complex numbers in geometry |
| title_full | Complex numbers in geometry by I. M. Yaglom |
| title_fullStr | Complex numbers in geometry by I. M. Yaglom |
| title_full_unstemmed | Complex numbers in geometry by I. M. Yaglom |
| title_short | Complex numbers in geometry |
| title_sort | complex numbers in geometry |
| topic | Komplexe Zahl - Elementargeometrie Komplexe Zahl - Hyperbolische Geometrie Algebraische Geometrie (DE-588)4001161-6 gnd Geometrie (DE-588)4020236-7 gnd Komplexe Zahl (DE-588)4128698-4 gnd Nichteuklidische Geometrie (DE-588)4042073-5 gnd |
| topic_facet | Komplexe Zahl - Elementargeometrie Komplexe Zahl - Hyperbolische Geometrie Algebraische Geometrie Geometrie Komplexe Zahl Nichteuklidische Geometrie Einführung |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=001755341&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
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