Leonhard Euler

Diophantus of Alexandria – the father of Algebra

Diophantus of Alexandria – the father of Algebra

Probably sometime between AD 201 and 215, Alexandrian Greek mathematician Diophantus of Alexandria was born. He is often referred to as the father of algebra. He is the author of a series of books called Arithmetica, many of which are now lost, which deal with solving algebraic equations. Diophantus was the first Greek mathematician who recognized fractions as numbers; thus he allowed positive rational numbers for the coefficients and solutions. The name…
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Read Euler, he is the Master of us all…

Read Euler, he is the Master of us all…

On September 18, 1783, Swiss mathematician and physicist Leonhard Euler passed away. Euler is considered to be the pre-eminent mathematician of the 18th century and one of the greatest mathematicians to have ever lived. He is also one of the most prolific mathematicians. He made important discoveries in fields as diverse as infinitesimal calculus and graph theory. He also introduced much of the modern mathematical terminology and notation, particularly for mathematical analysis,…
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Carl Jacobi and the Elliptic Functions

On December 10, 1804, German mathematician Carl Gustav Jacob Jacobi was born. He made fundamental contributions to elliptic functions, dynamics, differential equations, and number theory. “Any progress in the theory of partial differential equations must also bring about a progress in Mechanics.” – Carl Jacobi, Vorlesungen über Dynamik [Lectures on Dynamics] (1842/3) Carl Jacobi – A Child Prodigy Carl Jacobi was the son of a banker and grew up in a rather…
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What is a Mathematical Function – according to Johann Bernoulli

What is a Mathematical Function – according to Johann Bernoulli

On August 6, 1667, Swiss mathematician Johann Bernoulli was born. He was one of the many prominent mathematicians in the Bernoulli family. He is known for his contributions to infinitesimal calculus and educating Leonhard Euler in the pupil’s youth.[1] “I recognize the lion by his claw.” – Johann Bernoulli, after reading an anonymous solution to a problem that he realized was Newton’s solution.[10] Johann Bernoulli and the Early Days of Calculus Johann I…
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Lejeune Dirichlet and the Mathematical Function

Lejeune Dirichlet and the Mathematical Function

On February 13, 1805, German mathematician Johann Peter Gustav Lejeune Dirichlet was born. Dirichlet is best known for his papers on conditions for the convergence of trigonometric series and the use of the series to represent arbitrary functions. He also proposed in 1837 the modern definition of a mathematical function. “In mathematics as in other fields, to find one self lost in wonder at some manifestation is frequently the half of a new discovery.”…
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Joseph-Louis Lagrange and the Celestial Mechanics

Joseph-Louis Lagrange and the Celestial Mechanics

On April 10, 1813, Italian mathematician and astronomer Joseph-Louis Lagrange passed away. Lagrange made significant contributions to the fields of analysis, number theory, and both classical and celestial mechanics. “I cannot say whether I will still be doing geometry ten years from now. It also seems to me that the mine has maybe already become too deep and unless one finds new veins it might have to be abandoned. Physics and chemistry…
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The Celestial Mechanics of Anders Johan Lexell

The Celestial Mechanics of Anders Johan Lexell

On December 24, 1740, Finnish-Swedish astronomer, mathematician, and physicist Anders Johan Lexell was born. Lexell made important discoveries in polygonometry and celestial mechanics; the latter led to a comet named in his honour. La Grande Encyclopédie states that he was the prominent mathematician of his time who contributed to spherical trigonometry with new and interesting solutions, which he took as a basis for his research of comet and planet motion. His name…
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Franz Aepinius’ Theory of Electricity and Magnetism

Franz Aepinius’ Theory of Electricity and Magnetism

On December 13, 1724, German and Russian Empire natural philosopher Franz Ulrich Theodor Aepinus was born. Aepinius is best known for his researches, theoretical and experimental, in electricity and magnetism. His Tentamen theoriae electricitatis et magnetismi (1759; “An Attempt at a Theory of Electricity and Magnetism“) was the first work to apply mathematics to the theory of electricity and magnetism. Family and Education Franz Ulrich Theodor Aepinus came from a learned family. An…
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Johann Heinrich Lambert – A Swiss Polymath

Johann Heinrich Lambert – A Swiss Polymath

On August 26, 1728, Swiss polymath Johann Heinrich Lambert was born. Lambert provided the first rigorous proof that pi is irrational (i.e. it cannot be expressed as the quotient of two integers). He also was the first to introduce hyperbolic functions into trigonometry as well as the first mathematician to address the general properties of map projections. He also made significant contributions to physics, philosophy, and logic. “We would wish to discover the…
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