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Leonhard Euler
Mathematician

Leonhard Euler

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Transforming mathematics, from calculus and number theory to the beginnings of graph theory.

The Basel problem · Seven bridges

Born
15 April 1707
Birthplace
Basel, Switzerland
Died
18 September 1783

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Leonhard Euler

A Swiss mathematician who worked in Saint Petersburg and Berlin, Euler gave modern mathematics much of its language. His research connected abstract problems with astronomy, mechanics and the flow of fluids.

Early life

Basel beginnings

The son of a pastor, he grew up in Riehen and received early mathematics instruction from his father.

A new direction

At the University of Basel, Johann Bernoulli encouraged his mathematical studies rather than a career in the church.

Career

  1. 1727

    Saint Petersburg Academy

    Moved to Russia to work at the academy, eventually succeeding Daniel Bernoulli as head of mathematics.

  2. 1741

    Berlin years

    Joined the Prussian academy and produced major books on analysis, calculus and mechanics.

  3. 1766

    Return to Russia

    Returned to Saint Petersburg and continued working with assistants as his eyesight failed.

Contributions

The Basel problem

Found the exact sum of the reciprocals of the square numbers, resolving a celebrated problem.

Seven bridges

Showed why a walk crossing each Königsberg bridge exactly once was impossible.

Introduction to analysis

Published a foundational text that helped establish functions at the centre of mathematical analysis.

Beyond mathematics

Working without sight

Severe loss of vision did not end his research: he dictated mathematics and worked with collaborators.

Science in letters

His letters to a German princess explained physics and philosophy for readers outside mathematics.

Sources & photo creditLife, career and referencesUniversity of St Andrews biography

Photo: Jakob Emanuel Handmann. Public domain · Original image. Cropped and displayed in monochrome.