Arithmetic (book)
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''Arithmetic'' () is a 1703
mathematics Mathematics is an area of knowledge that includes the topics of numbers, formulas and related structures, shapes and the spaces in which they are contained, and quantities and their changes. These topics are represented in modern mathematics ...
textbook by the Russian educator and mathematician
Leonty Magnitsky Leonty Filippovich Magnitsky (russian: Леонтий Филиппович Магницкий), born Telyatin (russian: Телятин; June 9, 1669, in Ostashkov – October 19, 1739, in Moscow) was a Russian mathematician and educator.. Biogr ...
. The book served as the standard Russian mathematics textbook until the mid-18th century.
Mikhail Lomonosov Mikhail Vasilyevich Lomonosov (; russian: Михаил (Михайло) Васильевич Ломоносов, p=mʲɪxɐˈil vɐˈsʲilʲjɪvʲɪtɕ , a=Ru-Mikhail Vasilyevich Lomonosov.ogg; – ) was a Russian Empire, Russian polymath, s ...
was educated on this book, and referred to it as the "gates of my own erudition". It was the first mathematics textbook written in the Russian language that was not a translated edition of a foreign work. It consisted essentially of Magnitsky's own lecture notes, and offered an encyclopedic overview of arithmetic at the time, with sections on navigational astronomy,
geodesy Geodesy ( ) is the Earth science of accurately measuring and understanding Earth's figure (geometric shape and size), orientation in space, and gravity. The field also incorporates studies of how these properties change over time and equivale ...
, algebra, geometry, and trigonometry. It was organized in instructive question and answer format, and rooted not in the abstract but in practical and demonstrable applications of theories and axioms. The book also contained astronomical tables and coordinate maps for various Russian locales.


Production for the School of Navigation

The origins of the book lie in
Peter the Great Peter I ( – ), most commonly known as Peter the Great,) or Pyotr Alekséyevich ( rus, Пётр Алексе́евич, p=ˈpʲɵtr ɐlʲɪˈksʲejɪvʲɪtɕ, , group=pron was a Russian monarch who ruled the Tsardom of Russia from t ...
's establishment of the School of Navigation in Moscow, and the subsequent appointment of Magnitsky at the school's helm. He needed a text to teach from, and so formulated the book around his lectures and the prevailing European mathematics texts of the age.


Full title

The full title and subtitle reads: "Arithmetic, that is the science of numbering. Translated from different languages into Russian, put together and divided into two parts". The book runs 600 pages. Its publication was extensively researched in 1914 by Dmitrii Galanin in his book ''Leonty Filippovich Magnitsky and His Arithmetic''. Original copies are preserved in the Moscow State University library.


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References

{{reflist 1703 non-fiction books Mathematics textbooks Russian-language books