__Mathematics__

__Page last modified 22/10/2019__

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__2018__, The largest **prime number** so far known was
calculated by Patrick Laroche. It had **24,862,048 digits**.

__14/10/2010__, **French**-**American** mathematician who developed **fractal** **geometry**, **Benoit
Mandelbrot**, died aged 85.

__1988__, **Japanese** **computer** scientist **Yasumasa Kanada** **calculated Pi
to 201,326,000 decimal places**.

__1985__, The number composed of 1,031 ones in a row
was found to be **prime**.

__2/8/1957__, **John von Neumann**, Hungarian-US
mathematician, died in Washington DC.

__27/4/1936__, English mathematician **Karl Pearson**
died in Coldharbour, Surrey.

__6/1/1922__, **Jakob Rosanes**, Ukrainian-German
mathematician, died.

__26/4/1920__, Mathematician **Srinivasa
Ramanujan** died.

__12/2/1916__, **Julius Wilhelm Richard Dedekind**,
German mathematician, died in Braunschweig.

__28/4/1906__, Austrian-US mathematician **Kurt Godel**
was born in Brno, Czechoslovakia.

__24/1/1902__, **Oskar Morgenstern**, German-US
mathematician, was born in Silesia (Poland).

__1896__, **Jacques Hadamard** proved that, for large values
of a, the number of **primes** less than a approximates to a / log a.

__1985__, The largest-then-known **prime number**,(2 to the power
216,065) minus 1, with 66,050 digits,was discovered.

__26/1/1895__, **Arthur Cayley**, British
mathematician, died in Cambridge.

__1894__, The New York Mathematical Society was
formed, later to become the **American
Mathematical Society**.

__5/11/1879__, **James Clerk Maxwell**, Scottish
mathematician and physicist, died in Cambridge, **England**.

__22/5/1868__, **Julius Plucker**, German
mathematician, died in Bonn, Germany.

__1865__, The **London
Mathematical Society** was founded and began to issue its journal, *Proceedings*.

__1865__, German mathematician **August Ferdinand Mobius** (born
Schulpforte 17/11/1790) presented his discovery of a figure that had only one
side and one edge, now known as the **Mobius
Strip**.

__8/11/1858__, **George Peacock**, mathematician,
died in Ely, England.

__23/2/1855__**, Johann Karl Friedrich Gauss**, mathematician, died in
Gottingen, **Germany**.

__29/4/1854__, **Jules Henri Poincare**, French
mathematician, was born in Nantes. In 1895 he effectively founded the science
of topology, although some of its principles were already known.

__12/4/1852__, **Ferdinand Lindemann** was born in
Hannover, Germany. In 1882 he proved that Pi is a transcendental number.

__6/4/1829__, Neils Abel, Norwegian
mathematician (born 1802) died inArendal.

__23/2/1826__**, Nikolai Ivanovich Lobachevski** (born near Nizhni Novgorod,
**Russia**)
gave a paper at Kazan University outlining the principles of **non-Euclidean
geometry**.

__2/11/1815__, Mathematician **George Boole**
was born in Lincoln, **England**. In 1847 he published his paper on
symbolic logic.

__25/1/1812__. Mathematician **William Shanks**
was born in Corsenside, England. He attempted a calculation of **Pi to 707
places in 1853**. However in 1944 it was discovered he had made an
error at **place
528**, causing all digits thereafter to be erroneous.

__25/8/1802__, **Neils Abel**, Norwegian
mathematician (died 1829) was born in Findoe.

__29/10/1783__, **Jean Alembert**, French
mathematician, died in Paris.

__18/9/1783__, **Leonhard Euler**, **Swiss**
mathematician, died in St Petersburg, **Russia**.

__1777__, **Euler** first used *i* to denote the square root of minus 1. He did not publish this
until 1794, and it was **Gauss** who gained widespread acceptance for
this notation with his work *Disquisitiones
arithmeticae* in 1801.

__15/4/1754__, **Jacopo Riccati**, mathematician, died
in Treviso, Italy.

__1736__, The symbol e for natural logarithms,
devised by **Leonhard
Euler** in 1727, first appeared
in print.

__16/5/1718__, **Maria Agnesi**, **Italian** mathematician, was born (died
9/1/1799).

__1717__, Abtaham Sharp calculated **the value of Pi
to 72 places**.

__1691__, **Leibniz** first used the
mathematical terms coordinate, ordinate and abscissa.

__21/11/1675__, **Leibniz** became the first mathematician to use
the modern notation of f[x] dx for integration/differentiation.

__1665__, **Isaac Newton** worked out a system of ‘fluxions’
– precursor of modern **calculus**. He also began work on a theory of **gravity**.

__12/1/1665__, French
mathematician **Pierre
de Fermat** (born 1601) died.

__1659__, First punblication of the (division) sign, in *Teutsche Algebra*, written by **Johann Heinrich**
and published long after his death in 1588.

__1631__, First recorded used of the
multiplication sign, by **William Oughtred**. First use of the signs <
and > to mean ‘less than’ and ‘more than’.

__1614__, **Logarithms** were invented by the Scottish
mathematician, **John
Napier** (1550-1617), who in that year published a 97-page work
entitled ‘*Mirifici Logarithmorum Canonia
Descriptio’*. He coined the word ‘logarithm from two Greek words meaning
‘ratio’ and ‘number’.

__1603__, **Pietro A Cataldi** discovered the 6^{th}
and 7^{th} **Perfect Numbers**,
which are 8,859,869,056 and 137,438,691,328.

1588, Italian mathematician Pietro
Cataldi discovedred the **largest known prime number, 524,287**. It
remained the largest-known prime for almost two centuries.

__5/3/1574__, **William
Oughtred** was born in Eton. Around 1621 he invented the slide rule.

__1572__, Complex numbers were applied to solve equations in **Rafael
Bombelli’s** work, *Algebra*.

__1556__, The = sign was created by **Robert Recorde**, on the basis
that nothing can be more equal than a pair of parallel lines.

__1524__, The first manual of geometry was compiled by the German
engraver, **Albrecht
Durer**.

__1524__, First recorded usage of the modern **square root symbol**, in Die Coss, by Christoff Rudolff.

__1513__, The fifth **Perfect
Number** was discovered, 33,350,336. A **Perfect
Number** is one whose factors add up to the number itself, like 6 is the sum
of 1, 2 and 3.

__1489__, The first recorded use of
the mathematical symbols + and -, in the book Mental Arithmetic by **Johann Wildmann**,
published in Leipzig. They were used for ‘excess’ and ‘deficiency’, and by the
1500s came to mean ‘add’ and ‘subtract’.

__1434__, **Leone Battista**, born in Genoa,
Italy, 14/2/1404, published a nook on the geometrical laws of perspective in
drawing.

__1299__, In Florence, Italy, the
use of Arabic numerals was banned.

__1055__, The **Arabs** introduced decimal notation to **Spain**.

__15/5/1048__, The **Persian** mathematician and poet **Omar Khayyam**
was born at Nisipar. He was the first to solve cubic equations (those
containing terms to the power of three).

__830__, The Arabic text *Hisab al jabr w’al muqabalah* (The
Science of Reunion and Opposition) became the basis of **algebra** in the West. Renaissance scholars sometimes preferred the
Latin term ‘analysis’.

__605__, Use of decimal notation in India.
In China, **Pi
was calculated to be between 3.1415926 and 3.1415927**.

__462__, Birth of **Aryabhata**, **Indian** mathematician who wrote on
the **powers and roots of numbers**.

__17/4/485__, Proclus, Greek mathematician, died in Athens.

__250__, **Diophantes of Alexandria** wrote
the first known book on **algebra**.

__200__, In China, a polygon of 3072 sides
was used to calculate **the value of Pi as 3.14159**. Chinese
mathematicians used powers of 10 to express numbers.

__95 BCE__, First use of **negative numbers**, in China.

__323 BCE__, **Euclid**
published his work ‘*Elements’*, the
standard text on **geometry**.

__395 BCE__, **Theodorus of Cyrene** demonstrated
that the square roots of 3,5,6,7,8,10, 12,13,14, 15 and 17 were **irrational**.

__445 BCE__, The earliest concept of **irrational numbers** (numbers like the square root of 2, or Pi, that have infinite decimal
places). **Hippacos
of Metapontium** discovered that some magnitudes are ‘not
commensurable’, such as the diagonal and sode of a square; they have no common
unit. Also at this time **Zeno of Elea** formulated paradoxes **contrasting continuity with discreteness**,
such as the notion that a faster runner cannot ever catch a tortoise that has a
headstart. These questions are still not fully answered today.

__465 BCE__, The dodecahedron, a solid with 12
faces, was described by **Hippasus** of Greece.

__545 BCE__, Death of **Thales of
Miletus**. He derived the ‘Thales Proposition’; that triangles over
the diameter of a circle are always right-angled.

__628 CE__, The Indian astronomer amd mathematician **Brahmagupta**
first described the concept of ‘**zero’** as a true number. By 300 BCE use of the
number zero was common in Babylonian mathematical texts. The name’zero’cpomes
from the Sanskrit ‘sunya’, meaning ‘nothing’; it became ‘sifr’ in Arabic, and
was latinised by **Leonardo Fibonacci** into ‘zephirum’

__876 BCE__, First known use of a
symbol for **zero**, in **India**.
The actual conceot of zero may have been known earlier than this.

__1300 BCE__, **Decimal numerals** in use in China.

__1725 BCE__, **Egyptian** geometrical uinderstanding was
advanced, with formulae for the volume of a truncated pyramid.

__1875 BCE__, The **Pythagorean Theorem** was known in Mesopotamia.

__1975 BCE__, **Quadratic equations**, where symbols up to the power of two are used,
were known and could be solved in Mesopotamia.

__3400 BCE__, In Sumeria, clay counting tokens and **written
mathematical symbols** first used.