Organization of Knowledge
Identifieur interne : 001316 ( Istex/Corpus ); précédent : 001315; suivant : 001317Organization of Knowledge
Auteurs : Bruce Chandler ; Wilhelm MagnusSource :
- Studies in the History of Mathematics and Physical Sciences [ 0172-570X ] ; 1982.
Abstract
Abstract: There exist two phenomena in the development of mathematics in the Twentieth Century which have no precedents in earlier times. They are the rates of increase in the volume of knowledge and in the complexity of proofs. We shall start with the first of these by reproducing below a statistical table which is due to W. R. Utz of the University of Missouri and was published in the Notices of the American Mathematical Society, Issue 211, p. 424, August 1981. We have already mentioned this table in Chapter 11.12 because of its two right-hand columns. What concerns us here are the two left-hand columns which show the number of titles of mathematical papers which appeared in the Mathematical Reviews during the last years of five consecutive decades.
Url:
DOI: 10.1007/978-1-4613-9487-7_25
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ISTEX:5CF93C393C45882C78F132E3BAF99037CB34F28ELe document en format XML
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They are the rates of increase in the volume of knowledge and in the complexity of proofs. We shall start with the first of these by reproducing below a statistical table which is due to W. R. Utz of the University of Missouri and was published in the Notices of the American Mathematical Society, Issue 211, p. 424, August 1981. We have already mentioned this table in Chapter 11.12 because of its two right-hand columns. 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Combinatorial Group Theory</BookTitle></ChapterContext></ChapterInfo><ChapterHeader><AuthorGroup><Author AffiliationIDS="Aff3"><AuthorName DisplayOrder="Western"><GivenName>Bruce</GivenName><FamilyName>Chandler</FamilyName></AuthorName></Author><Author AffiliationIDS="Aff4"><AuthorName DisplayOrder="Western"><GivenName>Wilhelm</GivenName><FamilyName>Magnus</FamilyName></AuthorName></Author><Affiliation ID="Aff3"><OrgName>The College of Staten Island of The City University of New York</OrgName><OrgAddress><Street>715 Ocean Terrace</Street><City>Staten Island</City><State>NY</State><Postcode>10301</Postcode><Country>USA</Country></OrgAddress></Affiliation><Affiliation ID="Aff4"><OrgAddress><Street>11 Lomond Place</Street><City>New Rochelle</City><State>NY</State><Postcode>10804</Postcode><Country>USA</Country></OrgAddress></Affiliation></AuthorGroup><Abstract Language="En" ID="Abs1" OutputMedium="Online"><Heading>Abstract</Heading><Para>There exist two phenomena in the development of mathematics in the Twentieth Century which have no precedents in earlier times. They are the rates of increase in the volume of knowledge and in the complexity of proofs. We shall start with the first of these by reproducing below a statistical table which is due to W. R. Utz of the University of Missouri and was published in the <Emphasis Type="Italic">Notices of the American Mathematical Society</Emphasis>, Issue 211, p. 424, August 1981. We have already mentioned this table in Chapter 11.12 because of its two right-hand columns. What concerns us here are the two left-hand columns which show the number of titles of mathematical papers which appeared in the <Emphasis Type="Italic">Mathematical Reviews</Emphasis> during the last years of five consecutive decades.</Para></Abstract></ChapterHeader><NoBody></NoBody></Chapter></Part></Book></Series></Publisher></istex:document></istex:metadataXml><mods version="3.6"><titleInfo lang="en"><title>Organization of Knowledge</title></titleInfo><titleInfo type="alternative" contentType="CDATA" lang="en"><title>Organization of Knowledge</title></titleInfo><name type="personal"><namePart type="given">Bruce</namePart><namePart type="family">Chandler</namePart><affiliation>The College of Staten Island of The City University of New York, 715 Ocean Terrace, 10301, Staten Island, NY, USA</affiliation><role><roleTerm type="text">author</roleTerm></role></name><name type="personal"><namePart type="given">Wilhelm</namePart><namePart type="family">Magnus</namePart><affiliation>11 Lomond Place, 10804, New Rochelle, NY, USA</affiliation><role><roleTerm type="text">author</roleTerm></role></name><typeOfResource>text</typeOfResource><genre displayLabel="OriginalPaper" authority="ISTEX" authorityURI="https://content-type.data.istex.fr" type="research-article" valueURI="https://content-type.data.istex.fr/ark:/67375/XTP-1JC4F85T-7">research-article</genre><originInfo><publisher>Springer New York</publisher><place><placeTerm type="text">New York, NY</placeTerm></place><dateIssued encoding="w3cdtf">1982</dateIssued><dateIssued encoding="w3cdtf">1982</dateIssued><copyrightDate encoding="w3cdtf">1982</copyrightDate></originInfo><language><languageTerm type="code" authority="rfc3066">en</languageTerm><languageTerm type="code" authority="iso639-2b">eng</languageTerm></language><abstract lang="en">Abstract: There exist two phenomena in the development of mathematics in the Twentieth Century which have no precedents in earlier times. They are the rates of increase in the volume of knowledge and in the complexity of proofs. We shall start with the first of these by reproducing below a statistical table which is due to W. R. Utz of the University of Missouri and was published in the Notices of the American Mathematical Society, Issue 211, p. 424, August 1981. We have already mentioned this table in Chapter 11.12 because of its two right-hand columns. 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