Transcendental and algebraic numbers:
Saved in:
| Main Author: | |
|---|---|
| Format: | Book |
| Language: | English Russian |
| Published: |
New York
Dover Publ.
1960
|
| Subjects: | |
| Online Access: | Inhaltsverzeichnis |
| Physical Description: | VII, 190 S. |
Staff View
MARC
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| 240 | 1 | 0 | |a Transcendentnye i algebraičeskie čisla |
| 245 | 1 | 0 | |a Transcendental and algebraic numbers |c A. O. Gel'fond |
| 264 | 1 | |a New York |b Dover Publ. |c 1960 | |
| 300 | |a VII, 190 S. | ||
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| 650 | 7 | |a Algebraïsche getallen |2 gtt | |
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| 650 | 4 | |a Nombres, Théorie des | |
| 650 | 7 | |a Transcendentale getallen |2 gtt | |
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| 650 | 4 | |a Transcendental numbers | |
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Record in the Search Index
| _version_ | 1804118353834409984 |
|---|---|
| adam_text | CONTENTS
Page
Foreword ......... vii
Chapter I. The approximation of algebraic irrationalities 1
§1. Introduction ....... 1
§2. Auxiliary lemmas . . . . . .11
§3. Fundamental theorems . . . . . .21
§4. Applications of the fundamental theorems . . 35
Chapter II. Transcendence of values of analytic functions
whose Taylor series have algebraic coefficients . 41
§1. Introduction. The Hermite and Lindemann theorems 41
§2. Further development of the ideas of Hermite and
Lindemann ........ 50
§3. Auxiliary propositions and definitions ... 60
§4. General theorem on the algebraic independence of
values of an it function and consequences of it . . 78
§5. Problems concerning transcendence and algebraic
independence, over the rational field, of numbers
defined by infinite series or which are roots of algebraic
or transcendental equations ..... 93
Chapter III. Arithmetic properties of the set of values of
an analytic function whose argument assumes values
in an algebraic field; transcendence problems . 97
§1. Integrity of analytic functions .... 97
§2. The Euler Hilbert problem 102
§3. Problems concerning measure of transcendence and
further development of methods . . . .118
v
VI CONTENTS
Page
§4. Formulation of fundamental theorems and auxiliary
propositions . . . . . . .132
§5. Proof of the fundamental theorems . . . .155
Literature . . . . . . . . .178
Index 189
|
| any_adam_object | 1 |
| author | Gelʹfond, Aleksandr O. 1906-1968 |
| author_GND | (DE-588)122908597 |
| author_facet | Gelʹfond, Aleksandr O. 1906-1968 |
| author_role | aut |
| author_sort | Gelʹfond, Aleksandr O. 1906-1968 |
| author_variant | a o g ao aog |
| building | Verbundindex |
| bvnumber | BV004138875 |
| callnumber-first | Q - Science |
| callnumber-label | QA247 |
| callnumber-raw | QA247 |
| callnumber-search | QA247 |
| callnumber-sort | QA 3247 |
| callnumber-subject | QA - Mathematics |
| classification_rvk | SK 180 |
| classification_tum | MAT 120f |
| ctrlnum | (OCoLC)1000593 (DE-599)BVBBV004138875 |
| dewey-full | 512.815 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 512 - Algebra |
| dewey-raw | 512.815 |
| dewey-search | 512.815 |
| dewey-sort | 3512.815 |
| dewey-tens | 510 - Mathematics |
| discipline | Mathematik |
| format | Book |
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| id | DE-604.BV004138875 |
| illustrated | Not Illustrated |
| indexdate | 2024-07-09T16:08:57Z |
| institution | BVB |
| language | English Russian |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-002582308 |
| oclc_num | 1000593 |
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| physical | VII, 190 S. |
| publishDate | 1960 |
| publishDateSearch | 1960 |
| publishDateSort | 1960 |
| publisher | Dover Publ. |
| record_format | marc |
| spelling | Gelʹfond, Aleksandr O. 1906-1968 Verfasser (DE-588)122908597 aut Transcendentnye i algebraičeskie čisla Transcendental and algebraic numbers A. O. Gel'fond New York Dover Publ. 1960 VII, 190 S. txt rdacontent n rdamedia nc rdacarrier Algebraïsche getallen gtt Nombres transcendants Nombres, Théorie des Transcendentale getallen gtt Algebraic functions Transcendental numbers Transzendente Zahl (DE-588)4225034-1 gnd rswk-swf Algebraische Zahl (DE-588)4141847-5 gnd rswk-swf Zahlentheorie (DE-588)4067277-3 gnd rswk-swf Transzendente Zahl (DE-588)4225034-1 s DE-604 Algebraische Zahl (DE-588)4141847-5 s Zahlentheorie (DE-588)4067277-3 s HBZ Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=002582308&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Gelʹfond, Aleksandr O. 1906-1968 Transcendental and algebraic numbers Algebraïsche getallen gtt Nombres transcendants Nombres, Théorie des Transcendentale getallen gtt Algebraic functions Transcendental numbers Transzendente Zahl (DE-588)4225034-1 gnd Algebraische Zahl (DE-588)4141847-5 gnd Zahlentheorie (DE-588)4067277-3 gnd |
| subject_GND | (DE-588)4225034-1 (DE-588)4141847-5 (DE-588)4067277-3 |
| title | Transcendental and algebraic numbers |
| title_alt | Transcendentnye i algebraičeskie čisla |
| title_auth | Transcendental and algebraic numbers |
| title_exact_search | Transcendental and algebraic numbers |
| title_full | Transcendental and algebraic numbers A. O. Gel'fond |
| title_fullStr | Transcendental and algebraic numbers A. O. Gel'fond |
| title_full_unstemmed | Transcendental and algebraic numbers A. O. Gel'fond |
| title_short | Transcendental and algebraic numbers |
| title_sort | transcendental and algebraic numbers |
| topic | Algebraïsche getallen gtt Nombres transcendants Nombres, Théorie des Transcendentale getallen gtt Algebraic functions Transcendental numbers Transzendente Zahl (DE-588)4225034-1 gnd Algebraische Zahl (DE-588)4141847-5 gnd Zahlentheorie (DE-588)4067277-3 gnd |
| topic_facet | Algebraïsche getallen Nombres transcendants Nombres, Théorie des Transcendentale getallen Algebraic functions Transcendental numbers Transzendente Zahl Algebraische Zahl Zahlentheorie |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=002582308&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
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