Continued fractions:
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Buch |
| Sprache: | English |
| Veröffentlicht: |
Mineola, NY
Dover Publ.
1997
|
| Schriftenreihe: | Dover books on mathematics
|
| Schlagworte: | |
| Online-Zugang: | Inhaltsverzeichnis |
| Beschreibung: | Aus dem Russ. übers. |
| Beschreibung: | XI, 95 S. |
| ISBN: | 0486696308 |
Internformat
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| 245 | 1 | 0 | |a Continued fractions |c by A. Ya. Khinchin |
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Datensatz im Suchindex
| _version_ | 1804128030765875200 |
|---|---|
| adam_text | CONTENTS
1 Chapter L Properties of the Apparatus
1 1. Introduction
3 2. Convergents
8 3. Infinite continued fractions
12 4. Continued fractions with natural elements
16 Chapter II. The Representation of Numbers by
Continued Fractions
16
20
28
34
45
47
5. Continued fractions as an apparatus for representing real num-
bers
6. Convergents as best approximations
7. The order of approximation
8. General approximation theorems
9. The approximation of algebraic irrational numbers and Liou-
ville’s transcendental numbers
10. Quadratic irrational numbers and periodic continued fractions
61 Chapter III. The Measure Theory of Continued Fractions
51 11. Introduction
52 12. The elements as functions of the number represented
60 13. Measure-theoretic evaluation of the increase in the elements
65 14. Measure-theoretic evaluation of the increase in the denomina-
tors of the convergents. The fundamental theorem of the meas-
ure theory of approximation
71 15. Gauss’s problem and Kuz’min’s theorem
86 16. Average values
95 Index
xi
|
| any_adam_object | 1 |
| author | Chinčin, Aleksandr Ja. 1894-1959 |
| author_GND | (DE-588)124080634 |
| author_facet | Chinčin, Aleksandr Ja. 1894-1959 |
| author_role | aut |
| author_sort | Chinčin, Aleksandr Ja. 1894-1959 |
| author_variant | a j c aj ajc |
| building | Verbundindex |
| bvnumber | BV013265345 |
| classification_rvk | SK 470 |
| ctrlnum | (OCoLC)632826175 (DE-599)BVBBV013265345 |
| discipline | Mathematik |
| format | Book |
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| id | DE-604.BV013265345 |
| illustrated | Not Illustrated |
| indexdate | 2024-07-09T18:42:46Z |
| institution | BVB |
| isbn | 0486696308 |
| language | English |
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| physical | XI, 95 S. |
| publishDate | 1997 |
| publishDateSearch | 1997 |
| publishDateSort | 1997 |
| publisher | Dover Publ. |
| record_format | marc |
| series2 | Dover books on mathematics |
| spelling | Chinčin, Aleksandr Ja. 1894-1959 Verfasser (DE-588)124080634 aut Cepnye drobi Continued fractions by A. Ya. Khinchin Mineola, NY Dover Publ. 1997 XI, 95 S. txt rdacontent n rdamedia nc rdacarrier Dover books on mathematics Aus dem Russ. übers. Kettenbruch (DE-588)4030401-2 gnd rswk-swf Kettenbruch (DE-588)4030401-2 s DE-604 Digitalisierung UB Passau - ADAM Catalogue Enrichment application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=009043271&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Chinčin, Aleksandr Ja. 1894-1959 Continued fractions Kettenbruch (DE-588)4030401-2 gnd |
| subject_GND | (DE-588)4030401-2 |
| title | Continued fractions |
| title_alt | Cepnye drobi |
| title_auth | Continued fractions |
| title_exact_search | Continued fractions |
| title_full | Continued fractions by A. Ya. Khinchin |
| title_fullStr | Continued fractions by A. Ya. Khinchin |
| title_full_unstemmed | Continued fractions by A. Ya. Khinchin |
| title_short | Continued fractions |
| title_sort | continued fractions |
| topic | Kettenbruch (DE-588)4030401-2 gnd |
| topic_facet | Kettenbruch |
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