mathematics

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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Sophie Germain and the Chladni Experiment

Sophie Germain and the Chladni Experiment

On June 27, 1831, French mathematician, physicist, and philosopher Marie-Sophie Germain passed away. She is best known for her work in number theory and contributions to the applied mathematics of acoustics and elasticity. Her work on Fermat’s Last Theorem provided a foundation for mathematicians exploring the subject for hundreds of years after. Because of prejudice against her gender, she was unable to make a career out of mathematics, but she worked independently throughout her…
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Georg von Peuerbach – Astronomy at the Beginning of the Scientific Revolution in Early Modern Age

Georg von Peuerbach – Astronomy at the Beginning of the Scientific Revolution in Early Modern Age

On May 30, 1423, Austrian astronomer, mathematician and instrument maker Georg von Peuerbach was born. He is best known for his streamlined presentation of Ptolemaic Astronomy in the Theoricae Novae Planetarum. Furthermore, he promoted the use of Arabic numerals (introduced 250 years earlier in place of Roman numerals), especially in a table of sines he calculated with unprecedented accuracy. Not much is known about Peuerbach’s Early Life There is not much known about…
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Gaspard Monge and his System of Descriptive Geometry

Gaspard Monge and his System of Descriptive Geometry

On May 10, 1746, French mathematician Gaspard Monge, Comte de Péluse was born. He is best known for being the inventor of descriptive geometry as the mathematical basis of technical drawing, and being the father of differential geometry. During the French Revolution Monge served as the Minister of the Marine, and was involved in the reform of the French educational system, helping to found the École Polytechnique. “Descriptive geometry has two objects: the first is…
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Henri Poincaré – the Last Universalist of Mathematics

Henri Poincaré – the Last Universalist of Mathematics

On April 29, 1854, French mathematician, theoretical physicist, engineer, and a philosopher of science Henri Poincaré was born. He is often described as a polymath, and in mathematics as The Last Universalist since he excelled in all fields of the discipline as it existed during his lifetime. “A scientist worthy of the name, above all a mathematician, experiences in his work the same impression as an artist; his pleasure is as great…
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Joseph Fourier and the Greenhouse Effect

Joseph Fourier and the Greenhouse Effect

On March 21, 1768, French mathematician and physicist Jean Baptiste Joseph du Fourier was born. He is probably best known for his work in thermodynamics, where he introduced the concept of the Fourier Analysis, named in honor after him. There, he claimed that every mathematical function of a variable can be expanded to a sum of sines of multiples of that variable. What people most likely don’t know is that Fourier also was the…
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