mathematics

Adrien-Marie Legendre – Providing the Essential Analytical Tools for Mathematical Physics

Adrien-Marie Legendre – Providing the Essential Analytical Tools for Mathematical Physics

On September 18, 1752, French mathematician Adrien-Marie Legendre was born. He is best known for his contributions in number theory, celestial mechanics and elliptic functions. It was in a paper on celestial mechanics concerning the motion of planets (1784) that he first introduced the Legendre Polynomials. Moreover, he served as director of the of the Bureau des Longitudes, standardizing French weights and measures. “All the truths of mathematics are linked to each…
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Marin Mersenne – Mathematics and Universal Harmony

Marin Mersenne – Mathematics and Universal Harmony

On September 8, 1588, French polymath Marin Mersenne was born. He is perhaps best known today among mathematicians for Mersenne prime numbers. He also developed Mersenne’s laws, which describe the harmonics of a vibrating string. “Philosophy would long ago have reached a high level if our predecessors and fathers had put this into practice; and we would not waste time on the primary difficulties, which appear now as severe as in the…
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Antoine Cournot and the Mathematical Theory of Economics

Antoine Cournot and the Mathematical Theory of Economics

On August 28, 1801, French philosopher and mathematician Antoine-Augustin Cournot was born. He is considered being the first economist who applied mathematics to the treatment of economic questions. In 1838, he published Recherches sur les principes mathématiques de la théorie des richesses (Researches into the Mathematical Principles of the Theory of Wealth) which was a treatment of mathematical economics. “So far we have studies how, for each commodity by itself, the law…
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Giuseppe Peano and the Axiomatization of Mathematics

Giuseppe Peano and the Axiomatization of Mathematics

On August 27, 1858, Italian mathematician and philosopher Giuseppe Peano was born. He is the author of over 200 books and papers, and is considered the founder of mathematical logic and set theory. The standard axiomatization of the natural numbers is named the Peano axioms in his honor. These axioms have been used nearly unchanged in a number of metamathematical investigations, including research into fundamental questions of consistency and completeness of number…
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E.F. Codd and the Success of the Relational Database Model

E.F. Codd and the Success of the Relational Database Model

On August 23, 1923, English computer scientist Edgar Frank “Ted” Codd was born. His main achievement besides many contributions to computer science was the invention of the relational model for database management, the theoretical basis for relational databases. “At the time, Nixon was normalizing relations with China. I figured that if he could normalize relations, then so could I.” — E. F. Codd [5] When you talk about databases today, usually you…
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Augustin-Louis Cauchy and the Rigor of Analysis

Augustin-Louis Cauchy and the Rigor of Analysis

On August 21, 1789, French mathematician Augustin-Louis Cauchy was born. He is considered one of the greatest mathematicians during the nineteenth century. There are 16 concepts and theorems named for Cauchy, more than for any other mathematician. Cauchy was one of the most prolific mathematicians of all times. Cauchy wrote 789 papers, a quantity exceeded only by Euler and Cayley, which brought precision and rigor to mathematics. Cauchy throughout my Maths Lectures…
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Brook Taylor – Forerunner of Differential Calculus

Brook Taylor – Forerunner of Differential Calculus

On August 18, 1685, EnglishmathematicianBrook Taylor was born. He is best known for Taylor’s theorem and the Taylor series, a method for expanding functions into infinite series. “It is generally thought very ridiculous to pretend to write an Heroic Poem, or a fine Discourse upon any Subject, without understanding the Propriety of the Language wrote in; and to me it seems no less ridiculous for one to pretend to make a good Picture without…
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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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Friedrich Wilhelm Bessel and the Distances of Stars

Friedrich Wilhelm Bessel and the Distances of Stars

On July 22, 1784, German mathematician and astronomer Friedrich Wilhelm Bessel was born. He is probably best known for his works in mathematics, where he discovered the eponymous Bessel-functions, which are critical for the solution of certain differential equations. Friedrich Wilhelm Bessel – Youth and Education Friedrich Wilhelm Bessel was born in Minden, Westfalia, as the second child of a large family with six daughters and three sons. His mother Friederike Ernestine…
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Vilfredo Pareto and the Law of the Vital Few

Vilfredo Pareto and the Law of the Vital Few

On July 15, 1848, Italian engineer, sociologist, economist, political scientist and philosopher Vilfredo Federico Damaso Pareto was born. He made several important contributions to economics, particularly in the study of income distribution and in the analysis of individuals’ choices. The Pareto principle was named after him and built on observations of his such as that 80% of the land in Italy was owned by 20% of the population. “The assertion that men…
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