{{Short description|Landmark mathematics textbook by Leonhard Euler}}
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[[File:Elements of algebra (IA elementsofalgebr00eule).pdf|page=7|alt=Elements of Algebra title page|thumb|The title page of ''Elements of Algebra'']]
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In 1771, [[Joseph-Louis Lagrange]] published an addendum titled ''Additions to Euler's Elements of Algebra'', which featured a number of important mathematical results.
The original German title of the book was ''Vollständige Anleitung zur Algebra'', which literally translates to ''Complete Instruction to Algebra''.<ref>{{Cite web |lastlast1=Euler |firstfirst1=Leonhard |author-link=Leonhard Euler |last2=Joseph-Louis |first2=Lagrange |author-link2=Joseph-Louis Lagrange |last3=Johann |first3=Bernoulli |author-link3=Johann Bernoulli |date=1771 |title=Vollständige Anleitung zur Algebra |url=https://www.digitale-sammlungen.de/de/view/bsb10081749?page=,1 |url-status=live |website=Bayerische Staatsbibliothek |publisher=Kayserliche Academie der Wissenschaften |pages=first part: VII pages, 256 pages, second part: I page, 384 pages; 8 pages appendix |publication-place=St. Petersburg |no-pp=y}}</ref> Two English translations are now extant, one by [[John Hewlett]] (1822),<ref>{{Cite web |lastlast1=Euler |firstfirst1=Leonhard; [translated by John Hewlett] |author-link=Leonhard Euler |last2=Lagrange |first2=Joseph-Louis |author-link2=Joseph-Louis Lagrange |year=1828 |title=Elements of Algebra |url=https://archive.org/details/elementsofalgebr00eule/page/n5/mode/2up?q=ber&view=theater |url-status=live |publisher=Ongman, Rees, Orme, and Co. |publication-place=London}}</ref> and the other, which is translated to English from a French translation of the book, by Charles Tayler (1824). On the 300th birth anniversary of Euler in 2007, mathematician Christopher Sangwin working with Tarquin Publications published a digitized copy based on Hewlett's translation of the first four sections (or Part I) of the book.<ref>{{cite web|last1=Sangwin|first1=Christopher|title=Elements of Algebra|url=http://web.mat.bham.ac.uk/C.J.Sangwin/Publications/index.html#euler|access-date=1 August 2014|archive-url=https://web.archive.org/web/20160916180514/http://web.mat.bham.ac.uk/C.J.Sangwin/Publications/index.html#euler|archive-date=16 September 2016|url-status=dead}}</ref>
In 2015, Scott Hecht published both print and Kindle versions of ''Elements of Algebra'' ({{isbn|978-1508901181}}) with Euler's Part I (Containing the Analysis of Determinate Quantities), Part II (Containing the Analysis of Indeterminate Quantities), Lagrange's Additions, and footnotes by Johann Bernoulli and others.<ref>{{Cite web |lastlast1=Euler |firstfirst1=Leonhard |author-link=Leonhard Euler |last2=Lagrange |first2=Joseph-Louis |author-link2=Joseph-Louis Lagrange |last3=Bernoulli |first3=Johann |author-link3=Johann Bernoulli |date=2015 |editor-last=Hecht |editor-first=Scott L. |title=Elements of Algebra |url=https://archive.org/details/ElementsOfAlgebraLeonhardEuler2015/page/2/mode/thumb |publisher=CreateSpace, Inc. & Kindle Direct Publishing, Divisions of Amazon.com |isbn=}}</ref>
