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Math and Science time line

Nasser M. Abbasi

January 5, 2020   Compiled on January 5, 2020 at 8:13am   [public]
1584-1667 •

Gregory St. Vincent. Publishes in 1647 Opus geometricum quadrature ciculi et sectionum coni. First use of method of exhaustion in geometry. First use of method of chords to transform one conic to another. First use of geometric series.

1616-1703 •

John Wallis. Publishes Arithmetica infinitorum in 1655. Created the arithemtical concept of limit. First to use the symbol \(\infty \). First to use the term hypergeometric series.

1625 •

Pietro Mengoli Alternative proof that harmonic series diverges

1629-1695 •

Christian Huygens. One of his famous works is De horologio oscillatorio published in Paris in 1673. Invented pendulum clock. Wrote the first formal book on probability. Proposed the wave theory of light. Publication of his Opuscula posthuma in 1703 after his death.

1630-1677 •

Isaac Barrow. Professor of Mathematics in London and Cambridge. Famous for method of tangents. Publishes Lectiones geometrica (1670) and Lectiones mathematica (1683).

1638 •

James Gregory. Born in Drumoak, United Kingdom. Scottish mathematician. Taylor series

1643 •

Isaac Newton. Born in Woolsthorpe, Lincolnshire, England

1646 •

Gottfried Wilhelm Leibniz. Born in Leipzig, Germany

1655 •

Jacob Bernoulli. Born in Basel, Switzerland

1667 •

Johann Bernoulli. Born in Basel, Switzerland

1669 •

Isaac Newton becomes Chair of Mathematics in Cambridge when Isaac Barrow vacates this position for Newton.

1669 •

Isaac Newton. Writes major Work on Calculus. ”De analysi” or ”On Analysis by Equations with an infinite number of terms”. First time the series for \(\sin (x)\) and \(\cos (x)\) derived. Also gives Quadrature rules for first time. This work was actually published in 1711

1671 •

James Gregory. Finds power series for \(\arctan (x)\)

1675 •

James Gregory. Died in Edinburgh, United Kingdom

June 13, 1676 •

Newton sends famous letter to H. Oldenburg, containing first announcement of binomial theorem using negative and fractional exponents.

1676 •

Isaac Newton. epistola prio letter Newton sends to Leibniz giving for first time account of the Binomial series expansion

1684 •

Gottfried Wilhelm Leibniz. Publish first paper on differential calculus. ”A new method for maxima and minima, and also tangents, which is impeded neither by fractional nor by irrational quantities, and a remarkable type of calculus for this”

1687 •

Isaac Newton. First edition of Principia Mathematica published

1689 •

Jakob Bernoulli. Publication of ”Treatise on infinite series and their finite sums”

1705 •

Jacob Bernoulli. Died in Basel, Switzerland

April 15, 1707 •

Leonhard Euler. Born in Basel, Switzerland

1713 •

Isaac Newton. Second edition of Principia Mathematica published

November 14, 1716 •

Gottfried Wilhelm Leibniz. Died. Hannover, Germany

November 16, 1717 •

Jean le Rond d’Alembert. Born. Paris, France (First to propose that calculus be based on concept of limit)

1726 •

Leonhard Euler. Dissertation published (Physical dissertation on sound)

March 31, 1727 •

Isaac Newton. Died. Kensington, London, United Kingdom

October 1729 •

Leonhard Euler. Letter to Christian Goldback showing first proporsal to extend fractorial to positive numbers which can be non-integer.

1746 •

d’Alembert discovers the solution to wave equation named after him

1748 •

Leonhard Euler. Publishes text ”Introduction to analysis of infinite”

January 1, 1748 •

Johann Bernoulli. Died in Basel, Switzerland

September 18, 1752 •

Adrien-Marie Legendre. Born in Paris, France

March 21, 1768 •

Joseph Fourier. Born in Auxerre, France

April 20, 1777 •

Carl Friedrich Gauss. Born in Brunswick, Germany

September 18, 1783 •

Leonhard Euler. Died in Saint Petersburg, Russia

October 29, 1783 •

Jean le Rond d’Alembert. Died. Paris, France

August 21, 1789 •

Augustin-Louis Cauchy. Born. Paris, France

13 February, 1805 •

Johann Peter Gustav Lejeune Dirichlet. Born, Duren, French Empire

October 31, 1815 •

Karl Weierstrass. Born, Ennigerloh, Germany

1822 •

Joseph Fourier Publishes ”The analytical theory of heat”

1823 •

Augustin-Louis Cauchy. Published Calcul Infinitésimal

May 16, 1830 •

Joseph Fourier Died in Paris, France

January 10, 1833 •

Adrien-Marie Legendre. Died in Paris, France

1844 •

Joseph Liouville proved the existence of transcendental numbers

1851 •

Joseph Liouville. Publish paper showing for first time a transcendental number \(\sum _{k=1}^\infty \frac{1}{10^{k!}}\)

1854 •

Henri Poincare, Born April 29,1854

February 23, 1855 •

Carl Friedrich Gauss Died in Gottingen, Germany

May 23, 1857 •

Augustin-Louis Cauchy Died. Sceaux, France

May 5, 1859 •

Johann Peter Gustav Lejeune Dirichlet. Died (aged 54), Gottingen, Kingdom of Hanover

1875 •

Karl Weierstrass. Paul duBois Reymond publishes account of Karl Weierstrass pathological function which is continuous at every point but differentiable nowhere. Karl first discovered this function in the 1860’s. If \(a\geq 3\) is an odd integer and if \(0<b<1\) such that \(ab>1+\frac{3 \pi }{2}\) then the function \(f(x)=\sum _{k=0}^{\infty } b^k \cos (\pi a^k x)\) is such.

February 19, 1897 •

Karl Weierstrass Died, Berlin, Germany

1912 •

Henri Poincare, Died July 17, 1912

Reference

1.
https://en.wikipedia.org/wiki/Writing_of_Principia_Mathematica
2.
https://blogs.uoregon.edu/scua/2019/02/04/isaac-newtons-work-on-calculus-de-analysi-1711/
3.
Book: The Calculus Gallary. by William Dunham. Princeton Press 2005. https://www.britannica.com/biography/James-Gregory
4.
A history of Mathematics, by Florian Cajori, 1919.