Infinitesimal (English Wikipedia)

Analysis of information sources in references of the Wikipedia article "Infinitesimal" in English language version.

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7doi.org

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5web.archive.org

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4arxiv.org

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4semanticscholar.org

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4archive.org

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2jstor.org

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1stanford.edu

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1jonhoyle.com

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1uwec.edu

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1osu.edu

2,333^rd place

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1ams.org

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1books.google.com

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1biu.ac.il

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1worldcat.org

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1umt.edu

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1uni.wroc.pl

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ams.org

Alling, Norman (Jan 1985), "Conway's Field of surreal numbers" (PDF), Trans. Amer. Math. Soc., 287 (1): 365–386, doi:10.1090/s0002-9947-1985-0766225-7, retrieved 2019-03-05

archive.org

Berkeley, George (1734). The Analyst: A Discourse Addressed to an Infidel Mathematician. London.
Thompson, Silvanus P. (1914). Calculus Made Easy (Second ed.). New York: The Macmillan Company.
Henle, James M.; Kleinberg, Eugene (1979). Infinitesimal Calculus. The MIT Press, rereleased by Dover. ISBN 978-0-262-08097-2.
Loomis, Lynn Harold; Sternberg, Shlomo (2014). Advanced Calculus. Hackensack, N.J.: World Scientific. pp. 138–142. ISBN 978-981-4583-92-3.

arxiv.org

Katz, Mikhail G.; Sherry, David (2012), "Leibniz's Infinitesimals: Their Fictionality, Their Modern Implementations, and Their Foes from Berkeley to Russell and Beyond", Erkenntnis, 78 (3): 571–625, arXiv:1205.0174, doi:10.1007/s10670-012-9370-y, S2CID 119329569
Mormann, Thomas; Katz, Mikhail (Fall 2013). "Infinitesimals as an Issue of Neo-Kantian Philosophy of Science". HOPOS: The Journal of the International Society for the History of Philosophy of Science. 3 (2): 236–280. arXiv:1304.1027. doi:10.1086/671348. JSTOR 10.1086/671348. S2CID 119128707.
Edgar, Gerald A. (2010). "Transseries for Beginners". Real Analysis Exchange. 35 (2): 253–310. arXiv:0801.4877. doi:10.14321/realanalexch.35.2.0253. S2CID 14290638.
Katz, Karin Usadi; Katz, Mikhail G. (2010). "When is .999... less than1?" (PDF). The Montana Mathematics Enthusiast. 7 (1): 3–30. arXiv:1007.3018. doi:10.54870/1551-3440.1381. ISSN 1551-3440. S2CID 11544878. Archived from the original (PDF) on 2012-12-07. Retrieved 2012-12-07.

biu.ac.il

u.cs.biu.ac.il

Ely, Robert (2010). "Nonstandard student conceptions about infinitesimals" (PDF). Journal for Research in Mathematics Education. 41 (2): 117–146. doi:10.5951/jresematheduc.41.2.0117. JSTOR 20720128. Archived (PDF) from the original on 2019-05-06.

books.google.com

Bajnok, Béla (2013). An Invitation to Abstract Mathematics. Springer. ISBN 9781461466369. Theorem 24.29. The surreal number system is the largest ordered field

doi.org

Katz, Mikhail G.; Sherry, David (2012), "Leibniz's Infinitesimals: Their Fictionality, Their Modern Implementations, and Their Foes from Berkeley to Russell and Beyond", Erkenntnis, 78 (3): 571–625, arXiv:1205.0174, doi:10.1007/s10670-012-9370-y, S2CID 119329569
Mormann, Thomas; Katz, Mikhail (Fall 2013). "Infinitesimals as an Issue of Neo-Kantian Philosophy of Science". HOPOS: The Journal of the International Society for the History of Philosophy of Science. 3 (2): 236–280. arXiv:1304.1027. doi:10.1086/671348. JSTOR 10.1086/671348. S2CID 119128707.
Edgar, Gerald A. (2010). "Transseries for Beginners". Real Analysis Exchange. 35 (2): 253–310. arXiv:0801.4877. doi:10.14321/realanalexch.35.2.0253. S2CID 14290638.
Alling, Norman (Jan 1985), "Conway's Field of surreal numbers" (PDF), Trans. Amer. Math. Soc., 287 (1): 365–386, doi:10.1090/s0002-9947-1985-0766225-7, retrieved 2019-03-05
Gonshor, Harry (1986). An Introduction to the Theory of Surreal Numbers. London Mathematical Society Lecture Note Series. Vol. 110. Cambridge University Press. doi:10.1017/CBO9780511629143. ISBN 9780521312059.
Ely, Robert (2010). "Nonstandard student conceptions about infinitesimals" (PDF). Journal for Research in Mathematics Education. 41 (2): 117–146. doi:10.5951/jresematheduc.41.2.0117. JSTOR 20720128. Archived (PDF) from the original on 2019-05-06.
Katz, Karin Usadi; Katz, Mikhail G. (2010). "When is .999... less than1?" (PDF). The Montana Mathematics Enthusiast. 7 (1): 3–30. arXiv:1007.3018. doi:10.54870/1551-3440.1381. ISSN 1551-3440. S2CID 11544878. Archived from the original (PDF) on 2012-12-07. Retrieved 2012-12-07.

jonhoyle.com

"Infinitesimals in Modern Mathematics". Jonhoyle.com. Archived from the original on 2011-07-13. Retrieved 2011-03-11.

jstor.org

Mormann, Thomas; Katz, Mikhail (Fall 2013). "Infinitesimals as an Issue of Neo-Kantian Philosophy of Science". HOPOS: The Journal of the International Society for the History of Philosophy of Science. 3 (2): 236–280. arXiv:1304.1027. doi:10.1086/671348. JSTOR 10.1086/671348. S2CID 119128707.
Ely, Robert (2010). "Nonstandard student conceptions about infinitesimals" (PDF). Journal for Research in Mathematics Education. 41 (2): 117–146. doi:10.5951/jresematheduc.41.2.0117. JSTOR 20720128. Archived (PDF) from the original on 2019-05-06.

osu.edu

people.math.osu.edu

Edgar, Gerald A. (2010). "Transseries for Beginners". Real Analysis Exchange. 35 (2): 253–310. arXiv:0801.4877. doi:10.14321/realanalexch.35.2.0253. S2CID 14290638.

semanticscholar.org

api.semanticscholar.org

Katz, Mikhail G.; Sherry, David (2012), "Leibniz's Infinitesimals: Their Fictionality, Their Modern Implementations, and Their Foes from Berkeley to Russell and Beyond", Erkenntnis, 78 (3): 571–625, arXiv:1205.0174, doi:10.1007/s10670-012-9370-y, S2CID 119329569
Mormann, Thomas; Katz, Mikhail (Fall 2013). "Infinitesimals as an Issue of Neo-Kantian Philosophy of Science". HOPOS: The Journal of the International Society for the History of Philosophy of Science. 3 (2): 236–280. arXiv:1304.1027. doi:10.1086/671348. JSTOR 10.1086/671348. S2CID 119128707.
Edgar, Gerald A. (2010). "Transseries for Beginners". Real Analysis Exchange. 35 (2): 253–310. arXiv:0801.4877. doi:10.14321/realanalexch.35.2.0253. S2CID 14290638.
Katz, Karin Usadi; Katz, Mikhail G. (2010). "When is .999... less than1?" (PDF). The Montana Mathematics Enthusiast. 7 (1): 3–30. arXiv:1007.3018. doi:10.54870/1551-3440.1381. ISSN 1551-3440. S2CID 11544878. Archived from the original (PDF) on 2012-12-07. Retrieved 2012-12-07.

stanford.edu

plato.stanford.edu

Bell, John L. (6 September 2013). "Continuity and Infinitesimals". Stanford Encyclopedia of Philosophy.

umt.edu

math.umt.edu

Katz, Karin Usadi; Katz, Mikhail G. (2010). "When is .999... less than1?" (PDF). The Montana Mathematics Enthusiast. 7 (1): 3–30. arXiv:1007.3018. doi:10.54870/1551-3440.1381. ISSN 1551-3440. S2CID 11544878. Archived from the original (PDF) on 2012-12-07. Retrieved 2012-12-07.

uni.wroc.pl

math.uni.wroc.pl

Barczyk, Adam; Janssen, Arnold; Pauly, Markus (2011). "The Asymptotics of L-statistics for non-i.i.d. variables with heavy tails" (PDF). Probability and Mathematical Statistics. 31 (2): 285–299. Archived (PDF) from the original on 2019-08-21.

uwec.edu

Shamseddine, Khodr. "Analysis on the Levi-Civita Field, a Brief Overview" (PDF). Archived from the original (PDF) on 2011-06-08.

web.archive.org

"Infinitesimals in Modern Mathematics". Jonhoyle.com. Archived from the original on 2011-07-13. Retrieved 2011-03-11.
Shamseddine, Khodr. "Analysis on the Levi-Civita Field, a Brief Overview" (PDF). Archived from the original (PDF) on 2011-06-08.
Ely, Robert (2010). "Nonstandard student conceptions about infinitesimals" (PDF). Journal for Research in Mathematics Education. 41 (2): 117–146. doi:10.5951/jresematheduc.41.2.0117. JSTOR 20720128. Archived (PDF) from the original on 2019-05-06.
Katz, Karin Usadi; Katz, Mikhail G. (2010). "When is .999... less than1?" (PDF). The Montana Mathematics Enthusiast. 7 (1): 3–30. arXiv:1007.3018. doi:10.54870/1551-3440.1381. ISSN 1551-3440. S2CID 11544878. Archived from the original (PDF) on 2012-12-07. Retrieved 2012-12-07.
Barczyk, Adam; Janssen, Arnold; Pauly, Markus (2011). "The Asymptotics of L-statistics for non-i.i.d. variables with heavy tails" (PDF). Probability and Mathematical Statistics. 31 (2): 285–299. Archived (PDF) from the original on 2019-08-21.

worldcat.org

search.worldcat.org

Katz, Karin Usadi; Katz, Mikhail G. (2010). "When is .999... less than1?" (PDF). The Montana Mathematics Enthusiast. 7 (1): 3–30. arXiv:1007.3018. doi:10.54870/1551-3440.1381. ISSN 1551-3440. S2CID 11544878. Archived from the original (PDF) on 2012-12-07. Retrieved 2012-12-07.