Multiplication (English Wikipedia)

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

Last modified: 00:19:57, 4 August 2026 (UTC)

Ref.Un. Ref.Website

Global rank English rank

97books.google.com

3^rd place

91encyclopediaofmath.org

7,049^th place

5,456^th place

76web.archive.org

1^st place

44doi.org

2^nd place

44wolfram.com

1,091^st place

1,169^th place

33arxiv.org

49^th place

31^st place

22ed.gov

318^th place

138^th place

22themathdoctors.org

low place

22semanticscholar.org

15^th place

8^th place

22worldcat.org

4^th place

21maa.org

4,358^th place

2,907^th place

21clarku.edu

9,653^rd place

8,559^th place

11hdl.handle.net

66^th place

34^th place

11profkeithdevlin.org

low place

11adsabs.harvard.edu

14^th place

9^th place

11thelancet.com

2,615^th place

3,403^rd place

11jstor.org

23^rd place

15^th place

11britannica.com

37^th place

64^th place

11mathematische-basteleien.de

low place

11cut-the-knot.org

low place

11nature.com

207^th place

347^th place

11archive.org

6^th place

11bbc.com

26^th place

23^rd place

11archives-ouvertes.fr

1,143^rd place

973^rd place

11quantamagazine.org

6,258^th place

4,046^th place

11acm.org

1,200^th place

821^st place

11illinoisstate.edu

low place

11unsw.edu.au

4,700^th place

2,797^th place

11libretexts.org

4,683^rd place

3,565^th place

acm.org (Global: 1,200^th place; English: 821^st place)

cacm.acm.org

Klarreich, Erica (January 2020). "Multiplication Hits the Speed Limit". cacm.acm.org. Retrieved 2020-01-25.{{cite web}}: CS1 maint: deprecated archival service (link)

adsabs.harvard.edu (Global: 14^th place; English: 9^th place)

ui.adsabs.harvard.edu

"Victory on Points". Nature. 218 (5137): 111. 1968. Bibcode:1968Natur.218S.111.. doi:10.1038/218111c0.

archive.org (Global: 6^th place; English: 6^th place)

Fine, Henry B. (1907). The Number System of Algebra – Treated Theoretically and Historically (PDF) (2nd ed.). p. 90.

archives-ouvertes.fr (Global: 1,143^rd place; English: 973^rd place)

hal.archives-ouvertes.fr

David Harvey, Joris Van Der Hoeven (2019). Integer multiplication in time O(n log n) Archived 2019-04-08 at the Wayback Machine

arxiv.org (Global: 49^th place; English: 31^st place)

Pletser, Vladimir (2012-04-04). "Does the Ishango Bone Indicate Knowledge of the Base 12? An Interpretation of a Prehistoric Discovery, the First Mathematical Tool of Humankind". arXiv:1204.1019 [math.HO].
Harvey, David; van der Hoeven, Joris; Lecerf, Grégoire (2016). "Even faster integer multiplication". Journal of Complexity. 36: 1–30. arXiv:1407.3360. doi:10.1016/j.jco.2016.03.001. ISSN 0885-064X. S2CID 205861906.
Cawagas, Raoul E.; Carrascal, Alexander S.; Bautista, Lincoln A.; Maria, John P. Sta.; Urrutia, Jackie D.; Nobles, Bernadeth (2009). "The Subalgebra Structure of the Cayley-Dickson Algebra of Dimension 32 (trigintaduonion)". arXiv:0907.2047v3 [math.RA].

bbc.com (Global: 26^th place; English: 23^rd place)

Bernhard, Adrienne. "How modern mathematics emerged from a lost Islamic library". bbc.com. Retrieved 2022-04-22.

books.google.com (Global: 3^rd place; English: 3^rd place)

Musser, Gary L.; Peterson, Blake E.; Burger, William F. (2013). Mathematics for Elementary Teachers: A Contemporary Approach. John Wiley & Sons. p. 101. ISBN 978-1-118-48700-6.
Humez, Alexander; Humez, Nicholas (2008-10-02). On the Dot: The Speck That Changed the World. Oxford University Press. p. 103. ISBN 978-0-19-971718-7.
Klose, Orval (1966). The Number Systems and Operations of Arithmetic. Pergamon Press. p. 39. ISBN 978-1-4831-3709-4.
Cajori, Florian (1929). A History of Mathematical Notations. The Open Court Publishing Company. p. 267. ISBN 1616405716. {{cite book}}: ISBN / Date incompatibility (help)
Gookin, Dan (2004). C For Dummies (2nd ed.). Wiley. p. 88. ISBN 978-0-7645-7392-7.
Fuller, William R. (1977). FORTRAN Programming: A Supplement for Calculus Courses. Universitext. Springer. p. 10. doi:10.1007/978-1-4612-9938-7. ISBN 978-0-387-90283-8.
Litvin, Chester (2012). Advance Brain Stimulation by Psychoconduction. Trafford. pp. 2–3, 5–6. ISBN 978-1-4669-0152-0 – via Google Book Search.

britannica.com (Global: 37^th place; English: 64^th place)

"Multiplicand | mathematics | Britannica". www.britannica.com. Encyclopædia Britannica, Inc. Retrieved 2024-11-15.

clarku.edu (Global: 9,653^rd place; English: 8,559^th place)

mathcs.clarku.edu

"Clark University – Babylonian multiplication tables (History of Mathematics course notes)" (PDF).

cut-the-knot.org (Global: low place; English: low place)

"Peasant Multiplication". cut-the-knot.org. Retrieved 2021-12-29.

doi.org (Global: 2^nd place; English: 2^nd place)

"Victory on Points". Nature. 218 (5137): 111. 1968. Bibcode:1968Natur.218S.111.. doi:10.1038/218111c0.
Fuller, William R. (1977). FORTRAN Programming: A Supplement for Calculus Courses. Universitext. Springer. p. 10. doi:10.1007/978-1-4612-9938-7. ISBN 978-0-387-90283-8.
Qiu, Jane (2014-01-07). "Ancient times table hidden in Chinese bamboo strips". Nature. doi:10.1038/nature.2014.14482. S2CID 130132289. Archived from the original on 2014-01-22. Retrieved 2014-01-22.
Harvey, David; van der Hoeven, Joris; Lecerf, Grégoire (2016). "Even faster integer multiplication". Journal of Complexity. 36: 1–30. arXiv:1407.3360. doi:10.1016/j.jco.2016.03.001. ISSN 0885-064X. S2CID 205861906.

ed.gov (Global: 318^th place; English: 138^th place)

files.eric.ed.gov

https://files.eric.ed.gov/fulltext/EJ1246116.pdf Basics of multiplication
Ervin, Heather K. (Winter 2017). "Fraction Multiplication and Division Models: A Practitioner Reference Paper" (PDF). International Journal of Research in Education and Science. 3 (1): 258–279. ISSN 2148-9955.

encyclopediaofmath.org (Global: 7,049^th place; English: 5,456^th place)

"Multiplication". Encyclopedia of Mathematics. Retrieved 2021-12-29.

hdl.handle.net (Global: 66^th place; English: 34^th place)

Foster, Colin (2022-03-01). "Getting multiplication the right way round". Mathematics in School. 51 (2). The Mathematical Association (UK): 16–17. hdl:2134/19299752.v1. Retrieved 2025-05-15.

illinoisstate.edu (Global: low place; English: low place)

math.illinoisstate.edu

"Summation and Product Notation". math.illinoisstate.edu. Retrieved 2020-08-16.

jstor.org (Global: 23^rd place; English: 15^th place)

Tall, David (1983). "Introducing Algebra on the Computer: Today and Tomorrow". Mathematics in School. 12 (5): 37–40. JSTOR 30213874.

libretexts.org (Global: 4,683^rd place; English: 3,565^th place)

math.libretexts.org

"10.2: Building the Real Numbers". Mathematics LibreTexts. 2018-04-11. Retrieved 2023-06-23.

maa.org (Global: 4,358^th place; English: 2,907^th place)

Devlin, Keith (January 2011). "What Exactly is Multiplication?". Mathematical Association of America. Archived from the original on 2017-05-27. Retrieved 2017-05-14. With multiplication you have a multiplicand (written second) multiplied by a multiplier (written first)

mathematische-basteleien.de (Global: low place; English: low place)

"Multiplication". mathematische-basteleien.de. Retrieved 2022-03-15.

nature.com (Global: 207^th place; English: 347^th place)

Qiu, Jane (2014-01-07). "Ancient times table hidden in Chinese bamboo strips". Nature. doi:10.1038/nature.2014.14482. S2CID 130132289. Archived from the original on 2014-01-22. Retrieved 2014-01-22.

profkeithdevlin.org (Global: low place; English: low place)

Devlin, Keith (January 2011). "What exactly is multiplication?". profkeithdevlin.org. Archived from the original on 2024-12-12. Retrieved 2024-12-12.

quantamagazine.org (Global: 6,258^th place; English: 4,046^th place)

Hartnett, Kevin (2019-04-11). "Mathematicians Discover the Perfect Way to Multiply". Quanta Magazine. Retrieved 2020-01-25.

semanticscholar.org (Global: 15^th place; English: 8^th place)

api.semanticscholar.org

Qiu, Jane (2014-01-07). "Ancient times table hidden in Chinese bamboo strips". Nature. doi:10.1038/nature.2014.14482. S2CID 130132289. Archived from the original on 2014-01-22. Retrieved 2014-01-22.
Harvey, David; van der Hoeven, Joris; Lecerf, Grégoire (2016). "Even faster integer multiplication". Journal of Complexity. 36: 1–30. arXiv:1407.3360. doi:10.1016/j.jco.2016.03.001. ISSN 0885-064X. S2CID 205861906.

thelancet.com (Global: 2,615^th place; English: 3,403^rd place)

download.thelancet.com

"The Lancet – Formatting guidelines for electronic submission of manuscripts" (PDF). Retrieved 2017-04-25.

themathdoctors.org (Global: low place; English: low place)

Peterson, Dave (2019-10-14). "Order of Operations: Implicit Multiplication?". Algebra / PEMDAS. The Math Doctors. Archived from the original on 2023-09-24. Retrieved 2023-09-25.
Peterson, Dave (2023-08-18). "Implied Multiplication 1: Not as Bad as You Think". Algebra / Ambiguity, PEMDAS. The Math Doctors. Archived from the original on 2023-09-24. Retrieved 2023-09-25; Peterson, Dave (2023-08-25). "Implied Multiplication 2: Is There a Standard?". Algebra, Arithmetic / Ambiguity, PEMDAS. The Math Doctors. Archived from the original on 2023-09-24. Retrieved 2023-09-25; Peterson, Dave (2023-09-01). "Implied Multiplication 3: You Can't Prove It". Algebra / PEMDAS. The Math Doctors. Archived from the original on 2023-09-24. Retrieved 2023-09-25.

unsw.edu.au (Global: 4,700^th place; English: 2,797^th place)

web.maths.unsw.edu.au

Angell, David. "ORDERING COMPLEX NUMBERS... NOT*" (PDF). UNSW Sydney, School of Mathematics and Statistics. Retrieved 2021-12-29.

web.archive.org (Global: 1^st place; English: 1^st place)

Devlin, Keith (January 2011). "What Exactly is Multiplication?". Mathematical Association of America. Archived from the original on 2017-05-27. Retrieved 2017-05-14. With multiplication you have a multiplicand (written second) multiplied by a multiplier (written first)
Devlin, Keith (January 2011). "What exactly is multiplication?". profkeithdevlin.org. Archived from the original on 2024-12-12. Retrieved 2024-12-12.
Peterson, Dave (2019-10-14). "Order of Operations: Implicit Multiplication?". Algebra / PEMDAS. The Math Doctors. Archived from the original on 2023-09-24. Retrieved 2023-09-25.
Peterson, Dave (2023-08-18). "Implied Multiplication 1: Not as Bad as You Think". Algebra / Ambiguity, PEMDAS. The Math Doctors. Archived from the original on 2023-09-24. Retrieved 2023-09-25; Peterson, Dave (2023-08-25). "Implied Multiplication 2: Is There a Standard?". Algebra, Arithmetic / Ambiguity, PEMDAS. The Math Doctors. Archived from the original on 2023-09-24. Retrieved 2023-09-25; Peterson, Dave (2023-09-01). "Implied Multiplication 3: You Can't Prove It". Algebra / PEMDAS. The Math Doctors. Archived from the original on 2023-09-24. Retrieved 2023-09-25.
Qiu, Jane (2014-01-07). "Ancient times table hidden in Chinese bamboo strips". Nature. doi:10.1038/nature.2014.14482. S2CID 130132289. Archived from the original on 2014-01-22. Retrieved 2014-01-22.
David Harvey, Joris Van Der Hoeven (2019). Integer multiplication in time O(n log n) Archived 2019-04-08 at the Wayback Machine

wolfram.com (Global: 1,091^st place; English: 1,169^th place)

mathworld.wolfram.com

Weisstein, Eric W. "Multiplicand". mathworld.wolfram.com. Wolfram Research, Inc. Retrieved 2024-11-15.
Weisstein, Eric W. "Product". mathworld.wolfram.com. Retrieved 2020-08-16.
Weisstein, Eric W. "Exponentiation". mathworld.wolfram.com. Retrieved 2021-12-29.
Weisstein, Eric W. "Multiplicative Inverse". Wolfram MathWorld. Retrieved 2022-04-19.

worldcat.org (Global: 4^th place; English: 4^th place)

search.worldcat.org

Harvey, David; van der Hoeven, Joris; Lecerf, Grégoire (2016). "Even faster integer multiplication". Journal of Complexity. 36: 1–30. arXiv:1407.3360. doi:10.1016/j.jco.2016.03.001. ISSN 0885-064X. S2CID 205861906.
Ervin, Heather K. (Winter 2017). "Fraction Multiplication and Division Models: A Practitioner Reference Paper" (PDF). International Journal of Research in Education and Science. 3 (1): 258–279. ISSN 2148-9955.

Multiplication (English Wikipedia)

acm.org (Global: 1,200th place; English: 821st place)

cacm.acm.org

adsabs.harvard.edu (Global: 14th place; English: 9th place)

ui.adsabs.harvard.edu

archive.org (Global: 6th place; English: 6th place)

archives-ouvertes.fr (Global: 1,143rd place; English: 973rd place)

hal.archives-ouvertes.fr

arxiv.org (Global: 49th place; English: 31st place)

bbc.com (Global: 26th place; English: 23rd place)

books.google.com (Global: 3rd place; English: 3rd place)

britannica.com (Global: 37th place; English: 64th place)

clarku.edu (Global: 9,653rd place; English: 8,559th place)

mathcs.clarku.edu

cut-the-knot.org (Global: low place; English: low place)

doi.org (Global: 2nd place; English: 2nd place)

ed.gov (Global: 318th place; English: 138th place)

files.eric.ed.gov

encyclopediaofmath.org (Global: 7,049th place; English: 5,456th place)

hdl.handle.net (Global: 66th place; English: 34th place)

illinoisstate.edu (Global: low place; English: low place)

math.illinoisstate.edu

jstor.org (Global: 23rd place; English: 15th place)

libretexts.org (Global: 4,683rd place; English: 3,565th place)

math.libretexts.org

maa.org (Global: 4,358th place; English: 2,907th place)

mathematische-basteleien.de (Global: low place; English: low place)

nature.com (Global: 207th place; English: 347th place)

profkeithdevlin.org (Global: low place; English: low place)

quantamagazine.org (Global: 6,258th place; English: 4,046th place)

semanticscholar.org (Global: 15th place; English: 8th place)

api.semanticscholar.org

thelancet.com (Global: 2,615th place; English: 3,403rd place)

download.thelancet.com

themathdoctors.org (Global: low place; English: low place)

unsw.edu.au (Global: 4,700th place; English: 2,797th place)

web.maths.unsw.edu.au

web.archive.org (Global: 1st place; English: 1st place)

wolfram.com (Global: 1,091st place; English: 1,169th place)

mathworld.wolfram.com

worldcat.org (Global: 4th place; English: 4th place)

search.worldcat.org

acm.org (Global: 1,200^th place; English: 821^st place)

adsabs.harvard.edu (Global: 14^th place; English: 9^th place)

archive.org (Global: 6^th place; English: 6^th place)

archives-ouvertes.fr (Global: 1,143^rd place; English: 973^rd place)

arxiv.org (Global: 49^th place; English: 31^st place)

bbc.com (Global: 26^th place; English: 23^rd place)

books.google.com (Global: 3^rd place; English: 3^rd place)

britannica.com (Global: 37^th place; English: 64^th place)

clarku.edu (Global: 9,653^rd place; English: 8,559^th place)

doi.org (Global: 2^nd place; English: 2^nd place)

ed.gov (Global: 318^th place; English: 138^th place)

encyclopediaofmath.org (Global: 7,049^th place; English: 5,456^th place)

hdl.handle.net (Global: 66^th place; English: 34^th place)

jstor.org (Global: 23^rd place; English: 15^th place)

libretexts.org (Global: 4,683^rd place; English: 3,565^th place)

maa.org (Global: 4,358^th place; English: 2,907^th place)

nature.com (Global: 207^th place; English: 347^th place)

quantamagazine.org (Global: 6,258^th place; English: 4,046^th place)

semanticscholar.org (Global: 15^th place; English: 8^th place)

thelancet.com (Global: 2,615^th place; English: 3,403^rd place)

unsw.edu.au (Global: 4,700^th place; English: 2,797^th place)

web.archive.org (Global: 1^st place; English: 1^st place)

wolfram.com (Global: 1,091^st place; English: 1,169^th place)

worldcat.org (Global: 4^th place; English: 4^th place)