What is modern mathematics
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| Format: | Buch |
| Sprache: | English |
| Veröffentlicht: |
Reading
Educational Explorers
1963
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| Schriftenreihe: | Mathematics teaching series.
1. |
| Schlagworte: | |
| Online-Zugang: | Inhaltsverzeichnis |
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Datensatz im Suchindex
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| DE-BY-UBR_katkey | 1395852 |
| DE-BY-UBR_location | 00 |
| DE-BY-UBR_media_number | 069008232530 |
| _version_ | 1822693900893028352 |
| adam_text | CONTENTS
Presentation . . .. .. .. .. .. vii
Foreword .. .. .. .. .. .. ix
Chapter I.
The Axiomatic Method .. .. i
1. Structures . . .. .. .. 3
2. Characteristics of the Axiomatic
method .. .. .. .. 5
3. Dangers of the axiomatic method .. 9
Chapter II.
Some of the tools of axiomatics .. 11
1. Morphisms .. .. .. .. 13
2. Universal Applications .. .. 14
3. Categories and Functors .. .. 15
Chapter III.
Discovery methods linked with
axiomatic method . . . . .. 19
1. The loosening of axioms . . 21
2. The tightening of the axioms . . 21
3. Study of structures not too different 22
4. Generation of structures answering
given requirements . . .. 22
Chapter IV.
Some characteristics of Bourbaki s
contribution to analysis .. .. 25
1. Axiomatics and multivalency . . 27
2. Bourbaki is essentially an algebraist 27
3. The constant renewal of the Opus 28
4. Choice of definitions .. .. 29
5. Choice of contents and theorems .. 32
Chapter V.
Modern analysis in the world today .. 35
Chapter VI.
The impact upon modern mathematics
education .. .. .. .. 39
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| author | Choquet, Gustave 1915-2006 |
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| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 510 - Mathematics |
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| dewey-search | 510.1 |
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| dewey-tens | 510 - Mathematics |
| discipline | Mathematik |
| format | Book |
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| id | DE-604.BV007066333 |
| illustrated | Not Illustrated |
| indexdate | 2024-12-23T12:19:23Z |
| institution | BVB |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-004489617 |
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| physical | 46 S. |
| publishDate | 1963 |
| publishDateSearch | 1963 |
| publishDateSort | 1963 |
| publisher | Educational Explorers |
| record_format | marc |
| series | Mathematics teaching series. |
| series2 | Mathematics teaching series. |
| spellingShingle | Choquet, Gustave 1915-2006 What is modern mathematics Mathematics teaching series. Mathematik Mathematics Mathematik (DE-588)4037944-9 gnd |
| subject_GND | (DE-588)4037944-9 |
| title | What is modern mathematics |
| title_auth | What is modern mathematics |
| title_exact_search | What is modern mathematics |
| title_full | What is modern mathematics |
| title_fullStr | What is modern mathematics |
| title_full_unstemmed | What is modern mathematics |
| title_short | What is modern mathematics |
| title_sort | what is modern mathematics |
| topic | Mathematik Mathematics Mathematik (DE-588)4037944-9 gnd |
| topic_facet | Mathematik Mathematics |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=004489617&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
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