Numbers, sets, and axioms: the apparatus of mathematics
Following the success of Logic for Mathematicians, Dr Hamilton has written a text for mathematicians and students of mathematics that contains a description and discussion of the fundamental conceptual and formal apparatus upon which modern pure mathematics relies. The author's intention is to...
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1. Verfasser: | |
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Format: | Elektronisch E-Book |
Sprache: | English |
Veröffentlicht: |
Cambridge
Cambridge University Press
1982
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Schlagworte: | |
Online-Zugang: | BSB01 FHN01 URL des Erstveröffentlichers |
Zusammenfassung: | Following the success of Logic for Mathematicians, Dr Hamilton has written a text for mathematicians and students of mathematics that contains a description and discussion of the fundamental conceptual and formal apparatus upon which modern pure mathematics relies. The author's intention is to remove some of the mystery that surrounds the foundations of mathematics. He emphasises the intuitive basis of mathematics; the basic notions are numbers and sets and they are considered both informally and formally. The role of axiom systems is part of the discussion but their limitations are pointed out. Formal set theory has its place in the book but Dr Hamilton recognises that this is a part of mathematics and not the basis on which it rests. Throughout, the abstract ideas are liberally illustrated by examples so this account should be well-suited, both specifically as a course text and, more broadly, as background reading. The reader is presumed to have some mathematical experience but no knowledge of mathematical logic is required |
Beschreibung: | Title from publisher's bibliographic system (viewed on 05 Oct 2015) |
Beschreibung: | 1 online resource (ix, 255 pages) |
ISBN: | 9781139171618 |
DOI: | 10.1017/CBO9781139171618 |
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Datensatz im Suchindex
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any_adam_object | |
author | Hamilton, A. G. 1943- |
author_facet | Hamilton, A. G. 1943- |
author_role | aut |
author_sort | Hamilton, A. G. 1943- |
author_variant | a g h ag agh |
building | Verbundindex |
bvnumber | BV043944053 |
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collection | ZDB-20-CBO |
ctrlnum | (ZDB-20-CBO)CR9781139171618 (OCoLC)967603149 (DE-599)BVBBV043944053 |
dewey-full | 510 |
dewey-hundreds | 500 - Natural sciences and mathematics |
dewey-ones | 510 - Mathematics |
dewey-raw | 510 |
dewey-search | 510 |
dewey-sort | 3510 |
dewey-tens | 510 - Mathematics |
discipline | Mathematik |
doi_str_mv | 10.1017/CBO9781139171618 |
format | Electronic eBook |
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id | DE-604.BV043944053 |
illustrated | Not Illustrated |
indexdate | 2024-07-10T07:39:20Z |
institution | BVB |
isbn | 9781139171618 |
language | English |
oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-029353024 |
oclc_num | 967603149 |
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owner | DE-12 DE-92 |
owner_facet | DE-12 DE-92 |
physical | 1 online resource (ix, 255 pages) |
psigel | ZDB-20-CBO ZDB-20-CBO BSB_PDA_CBO ZDB-20-CBO FHN_PDA_CBO |
publishDate | 1982 |
publishDateSearch | 1982 |
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publisher | Cambridge University Press |
record_format | marc |
spelling | Hamilton, A. G. 1943- Verfasser aut Numbers, sets, and axioms the apparatus of mathematics A.G. Hamilton Numbers, Sets & Axioms Cambridge Cambridge University Press 1982 1 online resource (ix, 255 pages) txt rdacontent c rdamedia cr rdacarrier Title from publisher's bibliographic system (viewed on 05 Oct 2015) Following the success of Logic for Mathematicians, Dr Hamilton has written a text for mathematicians and students of mathematics that contains a description and discussion of the fundamental conceptual and formal apparatus upon which modern pure mathematics relies. The author's intention is to remove some of the mystery that surrounds the foundations of mathematics. He emphasises the intuitive basis of mathematics; the basic notions are numbers and sets and they are considered both informally and formally. The role of axiom systems is part of the discussion but their limitations are pointed out. Formal set theory has its place in the book but Dr Hamilton recognises that this is a part of mathematics and not the basis on which it rests. Throughout, the abstract ideas are liberally illustrated by examples so this account should be well-suited, both specifically as a course text and, more broadly, as background reading. The reader is presumed to have some mathematical experience but no knowledge of mathematical logic is required Arithmetic / Foundations Set theory Number theory Erscheint auch als Druckausgabe 978-0-521-24509-8 Erscheint auch als Druckausgabe 978-0-521-28761-6 https://doi.org/10.1017/CBO9781139171618 Verlag URL des Erstveröffentlichers Volltext |
spellingShingle | Hamilton, A. G. 1943- Numbers, sets, and axioms the apparatus of mathematics Arithmetic / Foundations Set theory Number theory |
title | Numbers, sets, and axioms the apparatus of mathematics |
title_alt | Numbers, Sets & Axioms |
title_auth | Numbers, sets, and axioms the apparatus of mathematics |
title_exact_search | Numbers, sets, and axioms the apparatus of mathematics |
title_full | Numbers, sets, and axioms the apparatus of mathematics A.G. Hamilton |
title_fullStr | Numbers, sets, and axioms the apparatus of mathematics A.G. Hamilton |
title_full_unstemmed | Numbers, sets, and axioms the apparatus of mathematics A.G. Hamilton |
title_short | Numbers, sets, and axioms |
title_sort | numbers sets and axioms the apparatus of mathematics |
title_sub | the apparatus of mathematics |
topic | Arithmetic / Foundations Set theory Number theory |
topic_facet | Arithmetic / Foundations Set theory Number theory |
url | https://doi.org/10.1017/CBO9781139171618 |
work_keys_str_mv | AT hamiltonag numberssetsandaxiomstheapparatusofmathematics AT hamiltonag numberssetsaxioms |