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''Institutiones calculi differentialis'' (''Foundations of differential calculus'') is a mathematical work written in 1748 by
Leonhard Euler Leonhard Euler ( , ; 15 April 170718 September 1783) was a Swiss mathematician, physicist, astronomer, geographer, logician and engineer who founded the studies of graph theory and topology and made pioneering and influential discoveries in ma ...
and published in 1755 that lays the groundwork for the
differential calculus In mathematics, differential calculus is a subfield of calculus that studies the rates at which quantities change. It is one of the two traditional divisions of calculus, the other being integral calculus—the study of the area beneath a curve. ...
. It consists of a single volume containing two internal books; there are 9 chapters in book I, and 18 in book II. writes that "this is the first textbook on the differential calculus which has any claim to be both complete and accurate, and it may be said that all modern treatises on the subject are based on it."


See also

* ''
Institutiones calculi integralis ''Institutiones calculi integralis'' (''Foundations of integral calculus'') is a three-volume textbook written by Leonhard Euler and published in 1768. It was on the subject of integral calculus and contained many of Euler's discoveries about diff ...
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List of important publications in mathematics This is a list of important publications in mathematics, organized by field. Some reasons why a particular publication might be regarded as important: *Topic creator – A publication that created a new topic *Breakthrough – A publi ...


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Full text
in Latin available from e-rara.ch.
German translation
''Vollständige Anleitung zur Differenzial-Rechnung'' available from e-rara.ch. Mathematics literature Differential calculus 1755 books Leonhard Euler 18th-century Latin books {{mathpublication-stub