Leonhard Euler and Mathematics

Leonhard Euler and Mathematics

The part played by L. Euler in the development of number theory is well known: he laid the foundations of the theory of residues of powers, discovered the law of quadratic reciprocity, invented analytic methods to investigate number-theoretical questions, and so on. Far less known are his achievements in the realm of Diophantine analysis, above […]

Leonhard Euler and Seven Bridges of Königsberg

Leonhard Euler and Seven Bridges of Königsberg

Euler’s 1736 paper on the bridges of Königsberg is widely regarded as the earliest contribution to graph theory – yet Euler’s solution made no mention of graphs. A well-known recreational puzzle concerns the bridges of Königsberg. It is claimed that in the early eighteenth century the citizens of Königsberg used to spend their Sunday afternoons […]

Leonhard Euler and Differentials

Leonhard Euler and Differentials

Euler was the most prolific and one of the most influential mathematicians who ever lived. He made major contributions to both pure and applied mathematics and his collected works amount to over 70 volumes. So strong was his influence that historians like Boyer and Edwards refer to the eighteenth century as the Age of Euler. […]

Leonhard Euler and Infinite Series

Leonhard Euler and Infinite Series

The history of mathematics is valuable as an account of the gradual development of the many current branches of mathematics. It is extremely fascinating and instructive to study even the false steps made by the greatest minds and in this way reveal their often unsuccessful attempts to formulate correct concepts and proofs, even though they […]