Arithmetic of infinity:
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| Main Author: | |
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| Format: | Book |
| Language: | English |
| Published: |
Cosenza
Ed. Orizzonti Meridionali
2003
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| Subjects: | |
| Online Access: | Inhaltsverzeichnis |
| Item Description: | Literaturverz. S. 103 - 104 |
| Physical Description: | VIII, 104 S. graph. Darst. |
| ISBN: | 8889064013 |
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Record in the Search Index
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| adam_text | ARITHMETIC OF INFINITY BY YAROSLAV D. SERGEYEV EDIZIONI ORIZZONTI
MERIDIONALI TABLE OF CONTENTS TABLE OF CONTENTS V PREFACE VII
INTRODUCTION 1 1 REAL NUMBERS AND INFINITY OF GEORG CANTOR 5 1.1 BASIC
CONCEPTS AND NOTATIONS 6 1.2 THE AXIOMS FOR THE REAL NUMBERS AND ORDERED
SETS 11 1.3 EXTENDED REAL NUMBER LINE 17 1.4 INFINITE COUNTABLE SETS 19
1.5 INFINITE UNCOUNTABLE SETS AND THE CONTINUUM HYPOTHESIS 24 1.6
ORDINAL NUMBERS 32 2 PRELIMINARY OBSERVATIONS AND REFLECTIONS 35 2.1
NUMBERS AND NUMERALS 36 2.2 PARADOXES OF INFINITY 43 2.3 TREATMENT OF
INFINITY IN LIMITTHEORY 46 2.4 COUNTOFLARGEQUANTITIESINPRACTICE ..... 55
V 3 EXTENDED REAL NUMBERS 59 3.1 INFINITE UNIT AXIOM 60 3.2 POSITIONAL
SYSTEM WITH INFINITE BASE 69 3.3 ARITHMETICAL OPERATIONS WITH INFINITE
NUMBERS 76 3.4 SOLUTIONS TO PARADOXES 84 3.5 EXAMPLES OF APPLICATIONS 91
INDEX 99 BIBLIOGRAPHY 103 VI
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| adam_txt |
ARITHMETIC OF INFINITY BY YAROSLAV D. SERGEYEV EDIZIONI ORIZZONTI
MERIDIONALI TABLE OF CONTENTS TABLE OF CONTENTS V PREFACE VII
INTRODUCTION 1 1 REAL NUMBERS AND INFINITY OF GEORG CANTOR 5 1.1 BASIC
CONCEPTS AND NOTATIONS 6 1.2 THE AXIOMS FOR THE REAL NUMBERS AND ORDERED
SETS 11 1.3 EXTENDED REAL NUMBER LINE 17 1.4 INFINITE COUNTABLE SETS 19
1.5 INFINITE UNCOUNTABLE SETS AND THE CONTINUUM HYPOTHESIS 24 1.6
ORDINAL NUMBERS 32 2 PRELIMINARY OBSERVATIONS AND REFLECTIONS 35 2.1
NUMBERS AND NUMERALS 36 2.2 PARADOXES OF INFINITY 43 2.3 TREATMENT OF
INFINITY IN LIMITTHEORY 46 2.4 COUNTOFLARGEQUANTITIESINPRACTICE . 55
V 3 EXTENDED REAL NUMBERS 59 3.1 INFINITE UNIT AXIOM 60 3.2 POSITIONAL
SYSTEM WITH INFINITE BASE 69 3.3 ARITHMETICAL OPERATIONS WITH INFINITE
NUMBERS 76 3.4 SOLUTIONS TO PARADOXES 84 3.5 EXAMPLES OF APPLICATIONS 91
INDEX 99 BIBLIOGRAPHY 103 VI |
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| index_date | 2024-07-02T16:10:13Z |
| indexdate | 2024-07-09T20:48:48Z |
| institution | BVB |
| isbn | 8889064013 |
| language | English |
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| physical | VIII, 104 S. graph. Darst. |
| publishDate | 2003 |
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| publisher | Ed. Orizzonti Meridionali |
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| spelling | Sergeev, Jaroslav D. Verfasser aut Arithmetic of infinity by Yaroslav D. Sergeyev Cosenza Ed. Orizzonti Meridionali 2003 VIII, 104 S. graph. Darst. txt rdacontent n rdamedia nc rdacarrier Literaturverz. S. 103 - 104 Transfinite Zahl (DE-588)4471005-7 gnd rswk-swf Arithmetik (DE-588)4002919-0 gnd rswk-swf Arithmetik (DE-588)4002919-0 s DE-604 Transfinite Zahl (DE-588)4471005-7 s GBV Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=015200523&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Sergeev, Jaroslav D. Arithmetic of infinity Transfinite Zahl (DE-588)4471005-7 gnd Arithmetik (DE-588)4002919-0 gnd |
| subject_GND | (DE-588)4471005-7 (DE-588)4002919-0 |
| title | Arithmetic of infinity |
| title_auth | Arithmetic of infinity |
| title_exact_search | Arithmetic of infinity |
| title_exact_search_txtP | Arithmetic of infinity |
| title_full | Arithmetic of infinity by Yaroslav D. Sergeyev |
| title_fullStr | Arithmetic of infinity by Yaroslav D. Sergeyev |
| title_full_unstemmed | Arithmetic of infinity by Yaroslav D. Sergeyev |
| title_short | Arithmetic of infinity |
| title_sort | arithmetic of infinity |
| topic | Transfinite Zahl (DE-588)4471005-7 gnd Arithmetik (DE-588)4002919-0 gnd |
| topic_facet | Transfinite Zahl Arithmetik |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=015200523&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
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