Institutiones calculi differentialis

work by Euler

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June 29, 2026

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The Institutiones calculi differentialis is a seminal work by Leonhard Euler, published in 1755. This book is a foundational text in the field of differential calculus, a branch of mathematical analysis concerned with the rate of change of functions.123

Euler's work systematically separated calculus from geometry, establishing the concept of a function as a central organizing principle. The book provided formulas for differentiation and numerous methods for integration, many of which Euler himself developed. It significantly advanced the understanding and application of calculus, influencing the development of modern mathematics and physics.415

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Leonhard Euler
Foundational works and new concepts
Euler’s textbooks in calculus, Institutiones calculi differentialis in 1755 and Institutiones calculi integralis in 1768–70, have served as prototypes to the present because they contain formulas of differentiation and numerous methods of indefinite integration, many of which he invented himself, for determining the work done by a force and…
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Euler’s textbooks in calculus, Institutiones calculi differentialis in 1755 and Institutiones calculi integralis in 1768–70, have served as prototypes to the present because they contain formulas of differentiation and numerous methods of indefinite integration, many of which he invented himself, for determining the work done by a force and…
Read More