**Elements of Algebra** is an elementary mathematics textbook written by mathematician Leonhard Euler and originally published in 1770 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.

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*. Two English translations are now extant, one by John Hewlett (1822), 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.