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{{Short description|Landmark mathematics textbook by Leonhard Euler}}
{{Use dmy dates|date=April 2012}}▼
{{italic title}}
'''''Elements of Algebra''''' is an [[elementary mathematics]] textbook written by mathematician [[Leonhard Euler]] and originally published in 1765 in German. ''Elements of Algebra'' is one of the earliest books to set out algebra in the modern form we would recognize today (another early book being ''Elements of Algebra'' by [[Nicholas Saunderson]], published in 1740), and is one of Euler's few writings, along with ''[[Letters to a German Princess]]'', that are accessible to the general public. Written in numbered paragraphs as was common practice till the 19th century, ''Elements'' begins with the definition of mathematics and builds on the fundamental operations of arithmetic and number systems, and gradually moves towards more abstract topics.▼
[[File:Elements of algebra (IA elementsofalgebr00eule).pdf|page=7|alt=Elements of Algebra title page|thumb|The title page of ''Elements of Algebra'']]
▲'''''Elements of Algebra''''' is an [[elementary mathematics]] textbook written by mathematician [[Leonhard Euler]]
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 |last1=Euler |first1=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 |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 |last1=Euler |first1=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 |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
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 |last1=Euler |first1=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>
==See also==
* [[Introductio in analysin infinitorum]] (1748)
* [[Institutiones calculi differentialis]] (1755)
==References==
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== External links ==
* [
* [https://web.archive.org/web/20110611025755/http://web.mat.bham.ac.uk/C.J.Sangwin/euler/
* [http://logica.ugent.be/albrecht/thesis/EulerProblems.ps The origin of the problems in Euler's ''Algebra'']
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[[Category:Mathematics textbooks]]
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