dbo:abstract |
Elementary Calculus: An Infinitesimal approach is a textbook by H. Jerome Keisler. The subtitle alludes to the infinitesimal numbers of the hyperreal number system of Abraham Robinson and is sometimes given as An approach using infinitesimals. The book is available freely online and is currently published by Dover. (en) 著 Elementary Calculus: An Infinitesimal approach(『無限小解析の基礎―微積分の新手法』)は、大学初年度級向けの初等解析学(微分積分学)用の教科書として書かれた。副題は An approach using infinitesimals とされることもあり、アブラハム・ロビンソンの超実数の意味での無限小の利用を仄めかすものになっている。本書は、著者による無償オンライン版(CC BY-NC-SA)と、ドーヴァー出版からの書籍版が、利用可能である。 (ja) |
dbo:author |
dbr:Howard_Jerome_Keisler |
dbo:nonFictionSubject |
dbr:Mathematics |
dbo:thumbnail |
wiki-commons:Special:FilePath/Standard_part_function_with_two_continua.svg?width=300 |
dbo:wikiPageExternalLink |
http://www.math.wisc.edu/~keisler/calc.html%7Cpublisher=Prindle http://www.math.wisc.edu/~keisler/foundations.html https://www.ams.org/journals/bull/1978-84-01/S0002-9904-1978-14401-2/home.html http://www.math.umt.edu/TMME/vol7no1/ https://web.archive.org/web/20110720095125/http:/www.math.umt.edu/TMME/vol7no1/ http://www.warwick.ac.uk/staff/David.Tall/pdfs/dot1980c-intuitive-infls.pdf%7Ctitle=Intuitive http://projecteuclid.org/euclid.bams/1183538669%7Cvolume= http://projecteuclid.org/euclid.bams/1183539465%7Cdoi=10.1090/S0002-9904-1977-14357-7%7Cdoi-access=free http://www.math.wisc.edu/~keisler/calc.html |
dbo:wikiPageID |
20425855 (xsd:integer) |
dbo:wikiPageLength |
13028 (xsd:nonNegativeInteger) |
dbo:wikiPageRevisionID |
1106286996 (xsd:integer) |
dbo:wikiPageWikiLink |
dbr:Derivative dbr:Howard_Jerome_Keisler dbr:Hyperreal_numbers dbr:Increment_theorem dbr:Influence_of_nonstandard_analysis dbr:Mathematics dbc:Nonstandard_analysis dbr:Criticism_of_nonstandard_analysis dbr:Andreas_Blass dbr:Microcontinuity dbr:Abraham_Robinson dbr:Errett_Bishop dbr:Keith_Stroyan dbc:Mathematics_of_infinitesimals dbr:Hyperreal_number dbc:Calculus dbr:Dover_Publications dbr:Martin_Davis_(mathematician) dbr:Continuity_(mathematics) dbr:Infinitesimal dbr:Integral dbr:Uniform_continuity dbr:Nonstandard_calculus dbr:Standard_part dbr:The_Montana_Mathematics_Enthusiast dbr:File:Standard_part_function_with_two_continua.svg |
dbp:author |
dbr:Howard_Jerome_Keisler |
dbp:language |
English (en) |
dbp:name |
Elementary Calculus: An Infinitesimal Approach (en) |
dbp:publisher |
Dover (en) |
dbp:subject |
dbr:Mathematics |
dbp:wikiPageUsesTemplate |
dbt:Citation dbt:Infobox_book dbt:Reflist dbt:Sfn dbt:Use_dmy_dates dbt:Infinitesimals |
dc:publisher |
Dover |
dct:subject |
dbc:Nonstandard_analysis dbc:Mathematics_of_infinitesimals dbc:Calculus |
gold:hypernym |
dbr:Textbook |
rdf:type |
owl:Thing bibo:Book schema:Book schema:CreativeWork dbo:Work wikidata:Q234460 wikidata:Q386724 wikidata:Q571 dbo:Book dbo:WrittenWork |
rdfs:comment |
Elementary Calculus: An Infinitesimal approach is a textbook by H. Jerome Keisler. The subtitle alludes to the infinitesimal numbers of the hyperreal number system of Abraham Robinson and is sometimes given as An approach using infinitesimals. The book is available freely online and is currently published by Dover. (en) 著 Elementary Calculus: An Infinitesimal approach(『無限小解析の基礎―微積分の新手法』)は、大学初年度級向けの初等解析学(微分積分学)用の教科書として書かれた。副題は An approach using infinitesimals とされることもあり、アブラハム・ロビンソンの超実数の意味での無限小の利用を仄めかすものになっている。本書は、著者による無償オンライン版(CC BY-NC-SA)と、ドーヴァー出版からの書籍版が、利用可能である。 (ja) |
rdfs:label |
Elementary Calculus: An Infinitesimal Approach (en) Elementary Calculus: An Infinitesimal Approach (ja) |
owl:sameAs |
freebase:Elementary Calculus: An Infinitesimal Approach wikidata:Elementary Calculus: An Infinitesimal Approach dbpedia-ja:Elementary Calculus: An Infinitesimal Approach https://global.dbpedia.org/id/4jT19 |
prov:wasDerivedFrom |
wikipedia-en:Elementary_Calculus:_An_Infinitesimal_Approach?oldid=1106286996&ns=0 |
foaf:depiction |
wiki-commons:Special:FilePath/Standard_part_function_with_two_continua.svg |
foaf:isPrimaryTopicOf |
wikipedia-en:Elementary_Calculus:_An_Infinitesimal_Approach |
foaf:name |
Elementary Calculus: An Infinitesimal Approach (en) |
is dbo:wikiPageDisambiguates of |
dbr:Elementary_calculus |
is dbo:wikiPageRedirects of |
dbr:Elementary_calculus:_an_infinitesimal_approach dbr:Elementary_calculus:_An_approach_using_infinitesimals |
is dbo:wikiPageWikiLink of |
dbr:List_of_calculus_topics dbr:Howard_Jerome_Keisler dbr:Increment_theorem dbr:Elementary_calculus dbr:Elementary_calculus:_an_infinitesimal_approach dbr:List_of_mathematical_logic_topics dbr:Criticism_of_nonstandard_analysis dbr:Nonstandard_analysis dbr:Hyperinteger dbr:Transfer_principle dbr:Infinitesimal dbr:Standard_part_function dbr:Nonstandard_calculus dbr:Elementary_calculus:_An_approach_using_infinitesimals |
is foaf:primaryTopic of |
wikipedia-en:Elementary_Calculus:_An_Infinitesimal_Approach |