Overview

Euler made advances in a number of areas, such as the invention of various mathematical relations, proofs, symbols, and operators used in thermodynamics, such as the function, i.e.

where

The interaction of Euler with his best known student Italian mathematician Joseph Lagrange, between 1754 and 1756, resulted in the Euler–Lagrange equations of variational calculus.

Thermodynamics

In mathematical thermodynamics, Euler is noted for his

His his reciprocity relation (or Euler reciprocity relation) is the mathematical proof behind state functions, in particular entropy.

Collected works | Publications

Euler’s collected works, according to Albert-Laszlo Barabasi (2002), began to be published in 1911 under the title

Euler’s collected works, according to another estimate, are said to total 60 to 80 quarto volumes. [2] Euler is considered the most prolific mathematician of all time, publishing close to 900 books. When he went blind in his late 50s, however, his productivity in many areas increased. [3]

Education

Euler, as a child, was given math lessons by

At some point along the way, Euler carefully analyzed the basic concepts and methods introduced by Rene Descartes, Isaac Newton, and Gottfried Leibniz. [5]

Euler would eventually complete his dissertation on the physics of sound under Bernoulli in 1726 at the Universität Basel, Switzerland. [4]

Students

Euler had six students: [4]See main: Euler genealogy

StudentSchoolDescendentsJohann Euler Nicolaus Fuss St. Petersburg Academy Johann Hennert Königliche Akademie der Wissenschaften zu Berlin 3,958 Semen Kotelnikov Universität Berlin Joseph Lagrange 60,026 Stepan Rumovsky Universität Berlin

as well as many indirect students of his work. A statement attributed to French physicist Pierre Laplace expresses Euler's influence on mathematics: "Read Euler, read Euler, he is our teacher in all things," which has also been translated as "Read Euler, read Euler, he is the master of us all."

Religion

A downfall of Euler, is that he often took recourse to the Bible to explain these things; as many were forced to do before the 1830s translation of the Rosetta stone.

References

1. Kestin, Joseph. (1979).

2. Leonhard Euler – NNDB.

3. Bellos, Alex. (2010). “The 10 Best Mathematicians”,

4. Leonhard Euler – Mathematics Genealogy Project.

5. Suisky, Dieter. (2008).

6. Barabasi, Albert-Laszlo. (2003).

Further reading

● Gladyshev, Georgi. (2007). "Leonhard Euler's Methods and Ideas Live in the Thermodynamic Hierarchical Theory of Biological Evolution."

External links

● Leonhard Euler – Wikipedia.

● Leonhard Euler – ScienceWorld.Wolfram.com.