Exponentiation (English Wikipedia)

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

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12archive.org

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ams.org (Global: 451^st place; English: 277^th place)

ams.org

Rotman, Joseph J. (2015). Advanced Modern Algebra, Part 1. Graduate Studies in Mathematics. Vol. 165 (3rd ed.). Providence, RI: American Mathematical Society. p. 130, fn. 4. ISBN 978-1-4704-1554-9.

mathscinet.ams.org

Olver, Frank W. J.; Lozier, Daniel W.; Boisvert, Ronald F.; Clark, Charles W., eds. (2010). NIST Handbook of Mathematical Functions. National Institute of Standards and Technology (NIST), U.S. Department of Commerce, Cambridge University Press. ISBN 978-0-521-19225-5. MR 2723248.[1]

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

Szabó, Árpád (1978). The Beginnings of Greek Mathematics. Synthese Historical Library. Vol. 17. Translated by A.M. Ungar. Dordrecht: D. Reidel. p. 37. ISBN 90-277-0819-3.
Ball, W. W. Rouse (1915). A Short Account of the History of Mathematics (6th ed.). London: Macmillan. p. 38.
Stifel, Michael (1544). Arithmetica integra. Nuremberg: Johannes Petreius. p. 235v.
Cajori, Florian (1928). A History of Mathematical Notations. Vol. 1. The Open Court Company. p. 102.
Cajori, Florian (1928). A History of Mathematical Notations. Vol. 1. London: Open Court Publishing Company. p. 344.
Cajori, Florian (1928). A History of Mathematical Notations. Vol. 1. The Open Court Company. p. 204.
Edwin Bidwell Wilson (1920) Theory of Dimensions, chapter 11 in Aeronautics: A Class Text, via Internet Archive
Bridgman, Percy Williams (1922). Dimensional Analysis. New Haven: Yale University Press. OCLC 840631.
Anton, Howard; Bivens, Irl; Davis, Stephen (2012). Calculus: Early Transcendentals (9th ed.). John Wiley & Sons. p. 28. ISBN 9780470647691.
Bloom, David M. (1979). Linear Algebra and Geometry. Cambridge University Press. p. 45. ISBN 978-0-521-29324-2.
Herschel, John Frederick William (1820). "Part III. Section I. Examples of the Direct Method of Differences". A Collection of Examples of the Applications of the Calculus of Finite Differences. Cambridge, UK: Printed by J. Smith, sold by J. Deighton & sons. pp. 1–13 [5–6]. Archived from the original on 2020-08-04. Retrieved 2020-08-04. [2] (NB. Inhere, Herschel refers to his 1813 work and mentions Hans Heinrich Bürmann's older work.)
"80 Contents". 80 Micro (45). 1001001, Inc.: 5. October 1983. ISSN 0744-7868. Retrieved 2020-02-06.

bnf.fr (Global: 124^th place; English: 544^th place)

gallica.bnf.fr

Descartes, René (1637). "La Géométrie". Discourse de la méthode [...]. Leiden: Jan Maire. p. 299. Et aa, ou $a 2$ , pour multiplier $a$ par soy mesme; Et $a 3$ , pour le multiplier encore une fois par $a$ , & ainsi a l'infini (And $aa$ , or $a 2$ , in order to multiply $a$ by itself; and $a 3$ , in order to multiply it once more by $a$ , and thus to infinity).
Euler, Leonhard (1748). Introductio in analysin infinitorum (in Latin). Vol. I. Lausanne: Marc-Michel Bousquet. pp. 69, 98–99. Primum ergo considerandæ sunt quantitates exponentiales, seu Potestates, quarum Exponens ipse est quantitas variabilis. Perspicuum enim est hujusmodi quantitates ad Functiones algebraicas referri non posse, cum in his Exponentes non nisi constantes locum habeant.

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

Hodge, Jonathan K.; Schlicker, Steven; Sundstorm, Ted (2014). Abstract Algebra: an inquiry based approach. CRC Press. p. 94. ISBN 978-1-4665-6706-1.
Achatz, Thomas (2005). Technical Shop Mathematics (3rd ed.). Industrial Press. p. 101. ISBN 978-0-8311-3086-2.
Tao, Terence (2016). "Limits of sequences". Analysis I. Texts and Readings in Mathematics. Vol. 37. pp. 126–154. doi:10.1007/978-981-10-1789-6_6. ISBN 978-981-10-1789-6.
Herschel, John Frederick William (1820). "Part III. Section I. Examples of the Direct Method of Differences". A Collection of Examples of the Applications of the Calculus of Finite Differences. Cambridge, UK: Printed by J. Smith, sold by J. Deighton & sons. pp. 1–13 [5–6]. Archived from the original on 2020-08-04. Retrieved 2020-08-04. [2] (NB. Inhere, Herschel refers to his 1813 work and mentions Hans Heinrich Bürmann's older work.)
Cajori, Florian (1952) [March 1929]. A History of Mathematical Notations. Vol. 2 (3rd ed.). Chicago, USA: Open court publishing company. pp. 108, 176–179, 336, 346. ISBN 978-1-60206-714-1. Retrieved 2016-01-18. {{cite book}}: ISBN / Date incompatibility (help)
Daneliuk, Timothy "Tim" A. (1982-08-09). "BASCOM - A BASIC compiler for TRS-80 I and II". InfoWorld. Software Reviews. Vol. 4, no. 31. Popular Computing, Inc. pp. 41–42. Archived from the original on 2020-02-07. Retrieved 2020-02-06.

cambridge.org (Global: 305^th place; English: 264^th place)

Olver, Frank W. J.; Lozier, Daniel W.; Boisvert, Ronald F.; Clark, Charles W., eds. (2010). NIST Handbook of Mathematical Functions. National Institute of Standards and Technology (NIST), U.S. Department of Commerce, Cambridge University Press. ISBN 978-0-521-19225-5. MR 2723248.[1]

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

Gordon, D. M. (1998). "A Survey of Fast Exponentiation Methods" (PDF). Journal of Algorithms. 27: 129–146. CiteSeerX 10.1.1.17.7076. doi:10.1006/jagm.1997.0913. Archived from the original (PDF) on 2018-07-23. Retrieved 2024-01-11.

computerhistory.org (Global: 2,213^th place; English: 1,495^th place)

archive.computerhistory.org

Backus, John Warner; Beeber, R. J.; Best, Sheldon F.; Goldberg, Richard; Herrick, Harlan L.; Hughes, R. A.; Mitchell, L. B.; Nelson, Robert A.; Nutt, Roy; Sayre, David; Sheridan, Peter B.; Stern, Harold; Ziller, Irving (1956-10-15). Sayre, David (ed.). The FORTRAN Automatic Coding System for the IBM 704 EDPM: Programmer's Reference Manual (PDF). New York, USA: Applied Science Division and Programming Research Department, International Business Machines Corporation. p. 15. Archived (PDF) from the original on 2022-07-04. Retrieved 2022-07-04. (2+51+1 pages)
Backus, John Warner; Herrick, Harlan L.; Nelson, Robert A.; Ziller, Irving (1954-11-10). Backus, John Warner (ed.). Specifications for: The IBM Mathematical FORmula TRANSlating System, FORTRAN (PDF) (Preliminary report). New York, USA: Programming Research Group, Applied Science Division, International Business Machines Corporation. pp. 4, 6. Archived (PDF) from the original on 2022-03-29. Retrieved 2022-07-04. (29 pages)

digizeitschriften.de (Global: 5,626^th place; English: 8,880^th place)

Steiner, J.; Clausen, T.; Abel, Niels Henrik (1827). "Aufgaben und Lehrsätze, erstere aufzulösen, letztere zu beweisen" [Problems and propositions, the former to solve, the later to prove]. Journal für die reine und angewandte Mathematik. 2: 286–287.

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

Archimedes. (2009). THE SAND-RECKONER. In T. Heath (Ed.), The Works of Archimedes: Edited in Modern Notation with Introductory Chapters (Cambridge Library Collection - Mathematics, pp. 229-232). Cambridge: Cambridge University Press. doi:10.1017/CBO9780511695124.017.
Knobloch, Eberhard (1994). "The infinite in Leibniz's mathematics – The historiographical method of comprehension in context". In Kostas Gavroglu; Jean Christianidis; Efthymios Nicolaidis (eds.). Trends in the Historiography of Science. Boston Studies in the Philosophy of Science. Vol. 151. Springer Netherlands. p. 276. doi:10.1007/978-94-017-3596-4_20. ISBN 9789401735964. A positive power of zero is infinitely small, a negative power of zero is infinite.
Tao, Terence (2016). "Limits of sequences". Analysis I. Texts and Readings in Mathematics. Vol. 37. pp. 126–154. doi:10.1007/978-981-10-1789-6_6. ISBN 978-981-10-1789-6.
Gordon, D. M. (1998). "A Survey of Fast Exponentiation Methods" (PDF). Journal of Algorithms. 27: 129–146. CiteSeerX 10.1.1.17.7076. doi:10.1006/jagm.1997.0913. Archived from the original (PDF) on 2018-07-23. Retrieved 2024-01-11.
Herschel, John Frederick William (1813) [1812-11-12]. "On a Remarkable Application of Cotes's Theorem". Philosophical Transactions of the Royal Society of London. 103 (Part 1). London: Royal Society of London, printed by W. Bulmer and Co., Cleveland-Row, St. James's, sold by G. and W. Nicol, Pall-Mall: 8–26 [10]. doi:10.1098/rstl.1813.0005. JSTOR 107384. S2CID 118124706.

etymonline.com (Global: 287^th place; English: 321^st place)

"Exponent | Etymology of exponent by etymonline".

jstor.org (Global: 26^th place; English: 20^th place)

Cecelia Callanan (1967) "Scientific Notation", The Mathematics Teacher 60: 252–6 JSTOR
Herschel, John Frederick William (1813) [1812-11-12]. "On a Remarkable Application of Cotes's Theorem". Philosophical Transactions of the Royal Society of London. 103 (Part 1). London: Royal Society of London, printed by W. Bulmer and Co., Cleveland-Row, St. James's, sold by G. and W. Nicol, Pall-Mall: 8–26 [10]. doi:10.1098/rstl.1813.0005. JSTOR 107384. S2CID 118124706.

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

Nykamp, Duane. "Basic rules for exponentiation". Math Insight. Retrieved 2020-08-27.

mcgraw-hill.com (Global: low place; English: low place)

highered.mcgraw-hill.com

Cormen, Thomas H.; Leiserson, Charles E.; Rivest, Ronald L.; Stein, Clifford (2001). Introduction to Algorithms (second ed.). MIT Press. ISBN 978-0-262-03293-3. Online resource Archived 2007-09-30 at the Wayback Machine.

oed.com (Global: 360^th place; English: 231^st place)

The most recent usage in this sense cited by the OED is from 1806 ("involution". Oxford English Dictionary (Online ed.). Oxford University Press. (Subscription or participating institution membership required.)).

psu.edu (Global: 207^th place; English: 136^th place)

citeseerx.ist.psu.edu

Gordon, D. M. (1998). "A Survey of Fast Exponentiation Methods" (PDF). Journal of Algorithms. 27: 129–146. CiteSeerX 10.1.1.17.7076. doi:10.1006/jagm.1997.0913. Archived from the original (PDF) on 2018-07-23. Retrieved 2024-01-11.

semanticscholar.org (Global: 11^th place; English: 8^th place)

api.semanticscholar.org

Herschel, John Frederick William (1813) [1812-11-12]. "On a Remarkable Application of Cotes's Theorem". Philosophical Transactions of the Royal Society of London. 103 (Part 1). London: Royal Society of London, printed by W. Bulmer and Co., Cleveland-Row, St. James's, sold by G. and W. Nicol, Pall-Mall: 8–26 [10]. doi:10.1098/rstl.1813.0005. JSTOR 107384. S2CID 118124706.

st-andrews.ac.uk (Global: 1,547^th place; English: 1,410^th place)

mathshistory.st-andrews.ac.uk

O'Connor, John J.; Robertson, Edmund F. "Etymology of some common mathematical terms". MacTutor History of Mathematics Archive. University of St Andrews.
O'Connor, John J.; Robertson, Edmund F. "Abu'l Hasan ibn Ali al Qalasadi". MacTutor History of Mathematics Archive. University of St Andrews.

tripod.com (Global: 549^th place; English: 491^st place)

jeff560.tripod.com

"Earliest Known Uses of Some of the Words of Mathematics (E)". 2017-06-23. Archived from the original on 2024-09-15.

visionlearning.com (Global: low place; English: low place)

Janet Shiver & Terri Wiilard "Scientific notation: working with orders of magnitude from Visionlearning

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

"Earliest Known Uses of Some of the Words of Mathematics (E)". 2017-06-23. Archived from the original on 2024-09-15.
Cormen, Thomas H.; Leiserson, Charles E.; Rivest, Ronald L.; Stein, Clifford (2001). Introduction to Algorithms (second ed.). MIT Press. ISBN 978-0-262-03293-3. Online resource Archived 2007-09-30 at the Wayback Machine.
Gordon, D. M. (1998). "A Survey of Fast Exponentiation Methods" (PDF). Journal of Algorithms. 27: 129–146. CiteSeerX 10.1.1.17.7076. doi:10.1006/jagm.1997.0913. Archived from the original (PDF) on 2018-07-23. Retrieved 2024-01-11.
Herschel, John Frederick William (1820). "Part III. Section I. Examples of the Direct Method of Differences". A Collection of Examples of the Applications of the Calculus of Finite Differences. Cambridge, UK: Printed by J. Smith, sold by J. Deighton & sons. pp. 1–13 [5–6]. Archived from the original on 2020-08-04. Retrieved 2020-08-04. [2] (NB. Inhere, Herschel refers to his 1813 work and mentions Hans Heinrich Bürmann's older work.)
Backus, John Warner; Beeber, R. J.; Best, Sheldon F.; Goldberg, Richard; Herrick, Harlan L.; Hughes, R. A.; Mitchell, L. B.; Nelson, Robert A.; Nutt, Roy; Sayre, David; Sheridan, Peter B.; Stern, Harold; Ziller, Irving (1956-10-15). Sayre, David (ed.). The FORTRAN Automatic Coding System for the IBM 704 EDPM: Programmer's Reference Manual (PDF). New York, USA: Applied Science Division and Programming Research Department, International Business Machines Corporation. p. 15. Archived (PDF) from the original on 2022-07-04. Retrieved 2022-07-04. (2+51+1 pages)
Backus, John Warner; Herrick, Harlan L.; Nelson, Robert A.; Ziller, Irving (1954-11-10). Backus, John Warner (ed.). Specifications for: The IBM Mathematical FORmula TRANSlating System, FORTRAN (PDF) (Preliminary report). New York, USA: Programming Research Group, Applied Science Division, International Business Machines Corporation. pp. 4, 6. Archived (PDF) from the original on 2022-03-29. Retrieved 2022-07-04. (29 pages)
Daneliuk, Timothy "Tim" A. (1982-08-09). "BASCOM - A BASIC compiler for TRS-80 I and II". InfoWorld. Software Reviews. Vol. 4, no. 31. Popular Computing, Inc. pp. 41–42. Archived from the original on 2020-02-07. Retrieved 2020-02-06.

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

de.wikipedia.org

Zeidler, Eberhard [in German]; Schwarz, Hans Rudolf; Hackbusch, Wolfgang; Luderer, Bernd [in German]; Blath, Jochen; Schied, Alexander; Dempe, Stephan; Wanka, Gert; Hromkovič, Juraj; Gottwald, Siegfried (2013) [2012]. Zeidler, Eberhard [in German] (ed.). Springer-Handbuch der Mathematik I (in German). Vol. I (1 ed.). Berlin / Heidelberg, Germany: Springer Spektrum, Springer Fachmedien Wiesbaden. p. 590. ISBN 978-3-658-00284-8. (xii+635 pages)

wolfram.com (Global: 513^th place; English: 537^th place)

mathworld.wolfram.com

Weisstein, Eric W. "Power". MathWorld. Retrieved 2020-08-27.
Weisstein, Eric W. "Principal root of unity". MathWorld.

worldcat.org (Global: 5^th place; English: 5^th place)

search.worldcat.org

Bridgman, Percy Williams (1922). Dimensional Analysis. New Haven: Yale University Press. OCLC 840631.
"80 Contents". 80 Micro (45). 1001001, Inc.: 5. October 1983. ISSN 0744-7868. Retrieved 2020-02-06.

worldwidewords.org (Global: 4,329^th place; English: 2,847^th place)

Quinion, Michael. "Zenzizenzizenzic". World Wide Words. Retrieved 2020-04-16.

Exponentiation (English Wikipedia)

ams.org (Global: 451st place; English: 277th place)

ams.org

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computerhistory.org (Global: 2,213th place; English: 1,495th place)

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digizeitschriften.de (Global: 5,626th place; English: 8,880th place)

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

etymonline.com (Global: 287th place; English: 321st place)

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

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oed.com (Global: 360th place; English: 231st place)

psu.edu (Global: 207th place; English: 136th place)

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st-andrews.ac.uk (Global: 1,547th place; English: 1,410th place)

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worldwidewords.org (Global: 4,329th place; English: 2,847th place)

ams.org (Global: 451^st place; English: 277^th place)

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bnf.fr (Global: 124^th place; English: 544^th place)

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cambridge.org (Global: 305^th place; English: 264^th place)

computerhistory.org (Global: 2,213^th place; English: 1,495^th place)

digizeitschriften.de (Global: 5,626^th place; English: 8,880^th place)

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

etymonline.com (Global: 287^th place; English: 321^st place)

jstor.org (Global: 26^th place; English: 20^th place)

oed.com (Global: 360^th place; English: 231^st place)

psu.edu (Global: 207^th place; English: 136^th place)

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st-andrews.ac.uk (Global: 1,547^th place; English: 1,410^th place)

tripod.com (Global: 549^th place; English: 491^st place)

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

wolfram.com (Global: 513^th place; English: 537^th place)

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