Elements of Algebra: Difference between revisions
Nuclear5641 (talk | contribs) No edit summary |
m →top: clean up spacing around commas and other punctuation fixes, replaced: ; → ; (2) |
||
| (38 intermediate revisions by 24 users not shown) | |||
| Line 1: | Line 1: | ||
{{Short description|Landmark mathematics textbook by Leonhard Euler}} |
|||
| ⚫ | |||
{{italic title}} |
|||
| ⚫ | '''''Elements of Algebra''''' is an [[elementary mathematics]] textbook |
||
[[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]] around 1765 in German. It was first published in Russian as "''Universal Arithmetic''" (''Универсальная арифметика''), two volumes appearing in 1768-9<ref>Эйлер, Л. ''Универсальная арифметика г. Леонгарда Эйлера''. Переведенная с немецкого подлинника студентами Петром Иноходцовым и Иваном Юдиным. Том 1, содержащий в себе все образы алгебраического вычисления. – СПб. : Имп. АН, 1768. – 8, 376 c.</ref> and in 1770 was printed from the original text. ''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. |
||
| ⚫ | |||
The original German title of the book is ''Vollständige Anleitung zur Algebra'', which literally translates to ''Complete Instruction to Algebra''. |
|||
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.<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 |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== |
|||
{{Reflist}} |
|||
== External links == |
== External links == |
||
* [ |
* [https://books.google.com/books?id=X8yv0sj4_1YC ''Elements of Algebra''], 1822, Full text |
||
* [http://web.mat.bham.ac.uk/C.J.Sangwin/euler/ |
* [https://web.archive.org/web/20110611025755/http://web.mat.bham.ac.uk/C.J.Sangwin/euler/ElementsAlgebra.html ''Elements of Algebra'', Part I], HTML |
||
* [http://web.mat.bham.ac.uk/C.J.Sangwin/euler/ElementsAlgebra.html ''Elements of Algebra'', Part I], HTML |
|||
* [http://logica.ugent.be/albrecht/thesis/EulerProblems.ps The origin of the problems in Euler's ''Algebra''] |
* [http://logica.ugent.be/albrecht/thesis/EulerProblems.ps The origin of the problems in Euler's ''Algebra''] |
||
* [http://eulerarchive.org Among other writings of Euler] |
|||
{{Authority control}} |
|||
[[Category:Mathematics textbooks]] |
[[Category:Mathematics textbooks]] |
||
Latest revision as of 17:01, 27 March 2024
Elements of Algebra is an elementary mathematics textbook written by mathematician Leonhard Euler around 1765 in German. It was first published in Russian as "Universal Arithmetic" (Универсальная арифметика), two volumes appearing in 1768-9[1] and in 1770 was printed from the original text. 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.
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.[2] Two English translations are now extant, one by John Hewlett (1822),[3] 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.[4]
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.[5]
See also
[edit]References
[edit]- ^ Эйлер, Л. Универсальная арифметика г. Леонгарда Эйлера. Переведенная с немецкого подлинника студентами Петром Иноходцовым и Иваном Юдиным. Том 1, содержащий в себе все образы алгебраического вычисления. – СПб. : Имп. АН, 1768. – 8, 376 c.
- ^ Euler, Leonhard; Joseph-Louis, Lagrange; Johann, Bernoulli (1771). "Vollständige Anleitung zur Algebra". Bayerische Staatsbibliothek. St. Petersburg: Kayserliche Academie der Wissenschaften. first part: VII pages, 256 pages, second part: I page, 384 pages, 8 pages appendix.
- ^ Euler, Leonhard; [translated by John Hewlett]; Lagrange, Joseph-Louis (1828). "Elements of Algebra". London: Ongman, Rees, Orme, and Co.
{{cite web}}: CS1 maint: multiple names: authors list (link) - ^ Sangwin, Christopher. "Elements of Algebra". Archived from the original on 16 September 2016. Retrieved 1 August 2014.
- ^ Euler, Leonhard; Lagrange, Joseph-Louis; Bernoulli, Johann (2015). Hecht, Scott L. (ed.). "Elements of Algebra". CreateSpace, Inc. & Kindle Direct Publishing, Divisions of Amazon.com.
External links
[edit]- Elements of Algebra, 1822, Full text
- Elements of Algebra, Part I, HTML
- The origin of the problems in Euler's Algebra
 | This article about a mathematical publication is a stub. You can help Wikipedia by expanding it. |
 | This mathematical analysis–related article is a stub. You can help Wikipedia by expanding it. |