Monday, 17 August 2026

On This Day in Math - August 17

   

On the 410th birthday of Fermat, Google Doodles his famous theorem'/conjecture. 
Unfortunately, the doodle was to small to contain the proof.


 
Base eight is just like base ten, really… if you're missing two fingers!
~Tom Lehrer, "New Math"


The 229th Day of the Year
229 is the 50th prime, and is the smallest prime that added up to the reversal of its digits yields another prime, (229 + 922) = 1151 (can you find the next one?)  
If you replace each digit with its ten complement, you get 881, another prime.  

The sum of the digits of 229 is prime (13) and the sum of squares of the digits is also prime (89).

It can be written as a sum of positive squares in only one way, i.e., 225 + 4 = 15^2 + 2^2 .

extra: 229 is the difference between 3³ and 4⁴ *jim wilder ‏@wilderlab

If you replace each digit of 229 with its square, you get a prime number, 4481. If you do the same with its cube, you get 88729, another prime. *Prime Curios

1/229 has 228 digits in its period

100! + 229 is prime

2^229 is a 69-digit number containing only one zero. Is this the largest power of two that has one or more unique digits? *Prime Curios

If you draw K13, the complete graph with 13 vertices so that it has the fewest possible crossings, it will still have 229 crossings *Wikipedia

1/229 has 228 digits in its period


See More Math Facts for every Year Day, here


EVENTS

1585 The Roanoak Colony in Virginia (to later become known as the "lost" colony) was founded on this day by Sir Walter Raleigh's agents, led by Ralph Lane. If you don't know why that is on a math page, read more here.



1654  Frontispiece from Curious Talks on the Solar Eclipse of August 12, 1654 by Orthodox Theophrastus; "let there be only fear of the shadow" "love of light"

*Astro museum



1655 William Oughtred writes to John Wallis to praise his methods in "Arithmetica Infinitorum" . It was received too late to be included in the first edition, but was included in the 1695 second edition.  *The Arithmetics of Infinitesimals, J. Stedall, pg 11




1762 The Board of Longitude Grants £500 to Christopher Irwin for his marine chair. Marine chairs, despite often having been ignored by modern scholars in favor of the chronometer and lunar-distance approaches to estimating longitude, reappeared throughout the history of the British Commissioners of the Longitude. Christopher Irwin of Ireland generated a lot of national and international interest in the late 1750s and early 1760s with his design. The Board funded the finishing and sea trial of it, granting him £500 on 17 August 1762. Nevil Maskelyne considered the chair alongside the lunar-distance method and one of John Harrison's longitude timekeepers on his 1763 trip to Barbados. (Maskelyne, who in 1765 would become Astronomer Royal and a Commissioner of Longitude, reported that the invention was useless. *Cambridge Digital Library




1771 Joseph Priestley sets out to test the rejuvenating effect of mint growing in a sealed container. He placed a candle in the covered glass and let it burn out in the presence of the mint. Ten days later he would return to the experiment and relight the candle and found, "it burned perfectly well in it." *Steven Johnson, The Invention of Air  

(And because student's WILL ask..)

In 1771 and 1772, Joseph Priestley performed a series of experiments that revealed the essential role of air in the growth of green plants.

Priestley observed that a candle burning in a closed space such as a bell jar, soon gets extinguished. Similarly, a mouse would soon suffocate in a closed space.

It was known that a candle placed in a sealed bell jar would eventually burn out and could not be relighted while still in the jar.

In August 1771, Joseph Priestley, placed a mint plant into a transparent closed space with a candle that burned out the air until it soon went out.

After 27 days, he relit the extinguished candle again. Since there was no bright source of light available that time, Priestly had to rely on the sun. He focused sunlight beams with a mirror onto the candle wick and was successful in relighting the candle from outside the bell jar without disturbing the experimental set up.




1811 “Having to conduct my grandson through his course of mathematics, I have resumed the study with great avidity. It was ever my favorite one. We have no theories there, no uncertainties remain on the mind; all is demonstration and satisfaction.” So wrote Thomas Jefferson (1743– 1826) to Benjamin Rush. Taken from The Writings of Thomas Jefferson, edited by A. A. Lipscomb, vol. 13 (1903), p. 75, as quoted from Cajori, Mathematics in Liberal Education, p. 109, which is a collection of interesting quotations on the value of mathematics.  The following year, his 70th, Jefferson describes his early affection for mathematics in a letter to William Duane "When I was young, mathematics was the passion of my life." *John Fauval, lecture at Univ of Va.



1825 A royal decree granted Niels Henrik Abel, then 23, sufficient funds for a year’s travel in France and Germany. *VFR


1859 John Wise (February 24, 1808 – September 28, 1879) was a pioneer in the field of ballooning. He made over 400 flights during his lifetime and was responsible for several innovations in balloon design.

He was the first to observe the jet stream, noting there was a "great river of air which always blows from west to east". On August 17, 1859, he made the first flight of local airmail in the U.S. from Lafayette, Indiana, to Crawfordsville, Indiana, in a balloon named Jupiter, carrying 123 letters and 23 circulars of which one cover was discovered in 1957.His trip of 25 miles (40 km) ended when he was forced to land by lack of buoyancy. The intended destination was New York City or Philadelphia, Pa. 

Another source says weather issues forced Wise to land in Crawfordsville after five hours and only 30 miles, and the mail was then delivered to its final destination by train.Wise starts the first airmail delivery in the United States on August 17, 1859 from Lafayette, Indiana.  

It wasn't until February 1911 that the first airmail flight in an airplane took place when three letters were carried the short distance between Petaluma and Santa Rosa, California.  *PBNotes





1877 Asaph Hall discovered Phobos, inner satellite of Mars. The two moons of Mars, Phobos and Deimos, were found when American astronomer Hall identified them after a long search, although their existence had been a source of speculation before. The possibility of Martian moons had been speculated long before Hall's discovery. The astronomer Johannes Kepler (1571–1630) even predicted their number correctly, although with faulty logic: he wrote that since Jupiter had four known moons and Earth had one, it was only natural that Mars should have two. Perhaps inspired by Kepler (and quoting Kepler's third law), Jonathan Swift's satire Gulliver's Travels (1726) refers to two moons in Part 3, Chapter 3 (the "Voyage to Laputa"), in which the astronomers of Laputa are described as having discovered two satellites of Mars orbiting at distances of 3 and 5 Martian diameters, and periods of 10 and 21.5 hours, respectively. The actual orbital distances and periods of Phobos and Deimos of 1.4 and 3.5 Martian diameters, and 7.6 and 30.3 hours, respectively. Hall discovered Deimos on August 12, 1877 at about 07:48 UTC and Phobos on August 18, 1877, at the US Naval Observatory in Washington, D.C., at about 09:14 GMT (contemporary sources, using the pre-1925 astronomical convention that began the day at noon, give the time of discovery as August 11, 14:40 and August 17 16:06 Washington mean time respectively)*Wik In the words of Asaph Hall, "Of the various names that have been proposed for these satellites, I have chosen those suggested by Mr Madan of Eton, England, viz: Deimos for the outer satellite; Phobos for the inner satellite. These are generally the names of the horses that draw the chariot of Mars. "




1896 Mrs. Bridget Driscoll of Croydon, Surrey, became the 1st pedestrian in Britain to die after being hit by a car. Mrs Driscoll, a 44 year old housewife, who was traveling from Old Town, Croydon to a folk-dancing display in Crystal Palace, was hit by a demonstration car traveling at 4mph (according to the driver, Arthur Edsel) . She died within minutes of receiving a head injury. At her inquest, Coroner William Percy Morrison said he hoped that "such a thing would never happen again" and was the first to apply the term ‘accident’ to violence caused by speed. Coroners across the country have followed his example ever since. *Road Safety Center Cardiff.

The first known death by a motor vehicle was Mary Ward (née King; 27 April 1827 – 31 August 1869) .  She was an Irish naturalist, astronomer, microscopist, author, and artist. She was killed when she fell under the wheels of an experimental steam car built by her cousins. As the event occurred in 1869, she is the first person known to have been killed by a motor vehicle.

Bridget as a child


Mary Ward




1934 Dunham Jackson personalizes a book. Harold Bacon recalls that Jackson was an inspired writer of limericks. When Bacon purchased Jackson's "The Theory of Approximations" he took it to Jackson's office and requested he sign it, suggesting a limerick. Without any visible prethought Jackson wrote on the flyleaf:

There was a young fellow named Bacon Whose judgement of books was mistaken In a moment too rash He relinquished some cash And his faith in the Author was shaken August 17, 1934

*Steven Krantz, Mathematical Apocrypha Redux Harold M Bacon was a long-serving calculus professor at Stanford where a teaching award in his name has been created since his death in 1992. 

Bacon was a math professor at Stanford, pictured here with his spouse and son Charles, who "grew up at Stanford", and is an American geologist and volcanologist at the United States Geological Survey in the Volcano Hazards Team

Bacon, wife, and epsilon at Stanford



1941 When Herbert Robbins saw the proof sheet of the title page of What is Mathematics? with only the name Richard Courant on it, his first reaction was “My god, the man’s a crook.” Realizing that a quiet meeting on their co-authorship of the book would be impossible, Robbins wrote Courant on this date that, while the custom might be different in Europe, in this country the junior author did receive credit. Courant backed down, and so today we know this lovely book as one by Courant and Robbins. For the two sides of this story see Constance Reid, Courant in Gottingen and New York. The Story of an Improbable Mathematician (Springer 1976), 223– 226 and 230–232 as well as “An interview with Herbert Robbins,” The College Mathematics Journal, 15(1984), 4–6. *VFR




1950 The National Bureau of Standards dedicates its Standards Western Automatic Computer (SWAC) at the Institute for Numerical Analysis in Los Angeles. Rather than testing components like its companion, the SEAC, the SWAC had an objective of computing using relatively off-the-shelf technology. It used a Williams Tube -- a modified CRT capable of modest (256 word) electrostatic bit storage -- and a magnetic drum (4,096 words) for storage. The word length was 37-bits and it could add two operands in 64 microseconds.

The SWAC performed much useful work, including searching for Mersenne prime numbers, X-ray crystallography, linear and differential equation solving and operated until December 1967.

Parts of SWAC are on display at The Computer History Museum. *CHM

SWAC at UCLA  *CHM



1966 Launch of Pioneer 7, American solar satellite. Studied prominences and solar atmosphere. *NSEC


1970   Venera 7 is launched by the USSR. It will later become the first spacecraft to successfully 

 transmit data from the surface of another planet (Venus) * @thepainterflynn 





BIRTHS

1601 Pierre de Fermat (17 Aug 1601; 12 Jan 1665) French mathematician, often called the founder of the modern theory of numbers. Together with Rene Descartes, Fermat was one of the two leading mathematicians of the first half of the 17th century. He anticipated differential calculus with his method of finding the greatest and least ordinates of curved lines. He proposed the famous Fermat's Last Theorem while studying the work of the ancient Greek mathematician Diophantus. He wrote in pencil in the margin, "I have discovered a truly remarkable proof which this margin is too small to contain," that when the Pythagorean theorem is altered to read an + bn = cn, the new equation cannot be solved in integers for any value of n > 2 . *TIS

*Linda Hall org


1904 Giovanni Ricci (17 August 1904 – 9 September 1973) was an Italian mathematician.

He was born and brought up in Florence, where he did his school education. He then moved to Pisa to study mathematics at the Scuola Normale Superiore (associated with the University of Pisa). He was an assistant professor at the University of Rome for two years until 1928 when he moved to his alma mater Scuola Normale Superiore, where he was a professor for 8 years and produced research works in the fields of number theory, differential geometry, mathematical analysis, and theory of series, with highly significant results being obtained on the Goldbach conjecture and Hilbert's seventh problem.

Ricci moved to the University of Milano towards the end of 1936, where he remained as a professor for 36 years until his death on 9 September 1973. While in Milan, Ricci was largely committed to teaching and administrative work and his research output declined.

Ricci served as the president of Italian Mathematical Union from 1964 to 1967. He was a member of the Accademia dei Lincei since 1957. He was also a member of Istituto Lombardo Accademia di Scienze e Lettere.
Ricci is noted to have had a significant influence on Fields Medal-winning mathematician Enrico Bombieri



1904 Jakob Levitzki, also known as Yaakov Levitsky (Hebrew: יעקב לויצקי) (17 August 1904 – 25 February 1956) was an Israeli mathematician.

Levitzki was born in 1904 in the Russian Empire and emigrated to then Ottoman-ruled Palestine in 1912. After completing his studies at the Herzliya Gymnasia, he travelled to Germany and, in 1929, obtained a doctorate in mathematics from the University of Göttingen under the supervision of Emmy Noether. In 1931, after two years at Yale University, in New Haven, Connecticut, Levitzki returned to Palestine to join the faculty at the Hebrew University of Jerusalem.

Levitzki together with Shimshon Amitsur, who had been one of his students at the Hebrew University, were each awarded the Israel Prize in exact sciences in 1953, the inaugural year of the prize, for their work on the laws of noncommutative rings.

Levitzki's son Alexander Levitzki, a recipient of the Israel Prize in 1990, in life sciences, established the Levitzki Prize in the name of his parents, Jacob and Charlotte, for Israeli research in the field of algebra.*Wik





1936 Margaret Heafield Hamilton (August 17, 1936 - ) is a computer scientist, systems engineer and business owner. She was Director of the Software Engineering Division of the MIT Instrumentation Laboratory, which developed on-board flight software for the Apollo space program. In 1986, she became the founder and CEO of Hamilton Technologies, Inc. in Cambridge, Massachusetts. The company was developed around the Universal Systems Language based on her paradigm of Development Before the Fact (DBTF) for systems and software design. In one of the critical moments of the Apollo 11 mission, Hamilton's team's work prevented an abort of the landing on the Moon. Among other things, Hamilton credits the Apollo Guidance Computer (AGC) together with its asynchronous executive as a foundation that provided the means for her to design systems software that included AGC error detection and recovery mechanisms such as the Display Interface Routines, the purpose of which was to warn the astronauts in case of an emergency, by interrupting the astronaut's normal mission sequence displays and replacing them with priority displays (e.g., the priority displays of the 1201 and 1202 alarms that took place during the Apollo 11 landing). Three minutes before the Lunar lander reached the Moon's surface, several computer alarms were triggered. The computer was overloaded with incoming data, because the rendezvous radar system (not necessary for landing) updated an involuntary counter in the computer, which stole cycles from the computer. Due to its robust architecture, the computer was able to keep running; the Apollo onboard flight software was developed using an asynchronous executive so that higher priority jobs (important for landing) could interrupt lower priority jobs. Hamilton has published over 130 papers, proceedings, and reports concerned with the 60 projects and six major programs in which she has been involved. *Wik

In 2016, she received the Presidential Medal of Freedom from Barack Obama, the highest civilian honor in the United States.




1954 Ingrid Daubechies ( born 17 August 1954- ) is a Belgian physicist and mathematician. Ingrid Daubechies is currently the James B. Duke Distinguished Professor of Mathematics and Electrical and Computer Engineering at Duke University.   In January 2011 she moved to Duke University as a Professor in mathematics. She is the first woman president of the International Mathematical Union (2011–2014). She is best known for her work with wavelets in image compression. In 2000 Daubechies became the first woman to receive the National Academy of Sciences Award in Mathematics, presented every 4 years for excellence in published mathematical research. The award honored her "for fundamental discoveries on wavelets and wavelet expansions and for her role in making wavelets methods a practical basic tool of applied mathematics." In January 2005, Daubechies became just the third woman since 1924 to give the Josiah Willard Gibbs Lecture sponsored by the American Mathematical Society. Her talk was on "The Interplay Between Analysis and Algorithm."*Wik

She was awarded the Wolf Prize in Mathematics in 2023, becoming the first woman to receive this award. In January 2025, Daubechies was a recipient of the National Medal of Science from President Joe Biden..


At ICM in 2018



DEATHS


1786 Death of Frederick the Great. Euler's interest in lotteries began at the latest in 1749 when he was commissioned by Frederick the Great to render an opinion on a proposed lottery. The first of two letters began 15 September 1749. A second series began on 17 August 1763.


1924 Pavel Samuilovich Urysohn, Pavel Uryson (February 3, 1898, Odessa – August 17, 1924, Batz-sur-Mer) is best known for his contributions in the theory of dimension, and for developing Urysohn's Metrization Theorem and Urysohn's Lemma, both of which are fundamental results in topology. His name is also commemorated in the term Menger-Urysohn dimension and in the term Urysohn integral equation. The modern definition of compactness was given by him and Pavel Alexandrov in 1923.*Wik




1927 (Erik) Ivar Fredholm (7 Apr 1866,17 Aug 1927) Swedish mathematician who founded modern integral equation theory. *TIS


1969 Otto Stern (17 Feb 1888; 17 Aug 1969 at age 81) German-American scientist and winner of the Nobel Prize for Physics in 1943 for his development of the molecular beam as a tool for studying the characteristics of molecules and for his measurement of the magnetic moment of the proton. *TIS

He is the second most nominated person for a Nobel Prize, with 82 nominations during the years 1925–1945.  Stern was elected to the United States National Academy of Sciences in 1945 and the American Philosophical Society in 1946.




1894  Cypra Cecilia Krieger Dunaj ( 9 April 1894. Jasło, Galicia, Austrian Empire{Poland},  17 August 1974. Ontario, Canada)  was the first woman to earn a PhD in mathematics from a Canadian university and only the third person to be awarded a mathematics doctorate in Canada. She is best known for her English translation of Sierpinski's Introduction to General Topology (1934) and General Topology (1952).

Her doctoral dissertation was On the summability of trigonometric series with localized properties - on Fourier constants and convergence factors of double Fourier series. It was published in two parts, the first, On the summability of trigonometric series with localized properties, in 1928 and the second, On Fourier constants and convergence factors of double Fourier series, in 1930, both in the Transactions of the Royal Society of Canada. 
Despite her credentials and experience, Krieger spent over a decade as a lecturer before being promoted to assistant professor in 1941. She taught courses in the Mathematics and Engineering departments - an average of 13 classes a week, some with as many as 75 students in each class. With such a demanding teaching schedule there was little time for research, yet she persevered, working on her own projects in the evenings.
Krieger is best known for her English translation of Sierpinski's Introduction to General Topology (1934) and General Topology (1952). In this latter book she presented a 30 page appendix on the theory of infinite cardinals and ordinals. 
I should also mention her work for the Canadian Association of University Women. She strongly supported women having the chance to succeed in mathematics.
The Krieger-Nelson Prize Lectureship mentioned above was set up by the Canadian Mathematical Society in 1995. The reasons why the Society decided to name the prize for Krieger is described by Laura Turner 
"... in an effort "to attach an appropriate name to this prestigious award" the decision was made to solicit input from Canadian Mathematical Society members as well, with each submitted name to be accompanied by an explanation of why it was suitable. It is not clear just how many submissions were received by either the Executive Committee or the ad hoc committee charged with the task of gathering information, receiving suggestions, and making recommendations for names to the Canadian Mathematical Society Board, but the decision was understood as nontrivial. According to the report of the ad hoc committee, at least three possible names were proposed for the lectureship. The Executive of the Canadian Mathematical Society, having considered the possibilities, proposed in December of 1994: "That the Prize for Outstanding Research by Women in Mathematics be named the Krieger-Nelson Prize Lectureship, pending consultation with the families." The motion was carried unanimously."



2004 Shizuo Kakutani August 28 1911, August 17 2004) was a Japanese-born American mathematician, best known for his eponymous fixed-point theorem. The Kakutani fixed-point theorem is a generalization of Brouwer's fixed-point theorem, holding for generalized correspondences instead of functions. Its most important uses are in proving the existence of Nash equilibria in game theory, and the Arrow–Debreu–McKenzie model of general equilibrium theory. Kakutani's other mathematical contributions include the Kakutani skyscraper, a concept in ergodic theory (a branch of mathematics that studies dynamical systems with an invariant measure and related problems). They also include his solution of the Poisson equation using the methods of stochastic analysis. The Collatz (or 3n+1) conjecture is also known as the Kakutani conjecture. *Wik



2024 Pierre Emile Jean Cartier(10 June 1932 – 17 August 2024) is a French mathematician . His main interest is the algebraic geometry , presentation and category theory . 1957-1959 he worked at the Institute for Advanced Study . From 1961 he was a professor at the University of Strasbourg (then Faculté de Science). In 1971 he was appointed professor at the Institut des Hautes Études Scientifiques in Paris. He was also from 1974 Director of Research CNRS. In 1982 he became a professor at the Ecole Polytechnique and 1988 at the ENS. Pierre Cartier led the Cartier operator and is the namesake of the Cartier divisor . *Wik





Credits : 

*CHM=Computer History Museum 

*FFF=Kane, Famous First Facts 

*NSEC= NASA Solar Eclipse Calendar 

*RMAT= The Renaissance Mathematicus, Thony Christie 

*SAU=St Andrews Univ. Math History 

*TIA = Today in Astronomy 

*TIS= Today in Science History 

*VFR = V Frederick Rickey, USMA 

*Wik = Wikipedia 

*WM = Women of Mathematics, Grinstein & Campbell


Sunday, 16 August 2026

On This Day in Math - August 16

 



Projective geometry is all geometry.
~Arthur Cayley


The 228th day of the year; 228 is the number of ways, up to rotation and reflection, of dissecting a regular 11-gon into 9 triangles.

If the sum of its digits,12, is subtracted from 228, you get a cube, 228 - 12 = 216 = 6^3.  If the product of its digits, 32, is subtracted, you get a square.  228 - 32 = 196 = 14^2


228 + 1,  822 + 1, and (228 + 822) + 1 are all primes. Is there another such year day?

228 in binary is written 11100100 notice that this is all four possible two digit binary combinations in descending order, 11, 10, 01, 00. (Just figured out that the equivalent (all possible three digit numbers concatenated in order) in base three is a little over 1039)

228 is between twin primes
See More Math Facts for every Year Day, here



EVENTS

1565  The Grand Duchess Christina of Lorraine was born Aug. 16, 1565. Christina was the grand-daughter of Catherine d’ Medici, and she re-cemented her ties to the family in 1589, when she married Ferdinando I de’ Medici of Florence in a lavish wedding.  Christina hired Galileo Galilei, then at Padua, to tutor her eldest son, Cosimo II, and when Christina’s husband died in 1609, Cosimo succeeded him as Grand Duke of Tuscany, and Christina stayed on at the court.   Galileo gave Cosimo the telescope with which he discovered the four moons of Jupiter in 1610, naming them the “Medicean stars” in his honor.  After Galileo joined the Medici court, he became well acquainted with the Duchess (who was actually a year younger than Galileo), and on several occasions she asked Galileo how the Copernican idea of a moving earth could be compatible with those passages of Scripture that discuss a fixed earth and a moving sun. In response, Galileo wrote, in 1615, what is usually called the Letter to the Grand Duchess Christina, in which he suggested that the language of the Bible was written to “accommodate” the understanding of the ordinary person and was not intended to be taken literally.  He further argued that the Bible was intended to indicate the road to salvation, and was not meant to provide instruction in natural philosophy.

This letter circulated in manuscript and was brought to the attention of Cardinal Bellarmine, the principal theological advisor to the Pope. Bellarmine ruled that accomodationism was acceptable when one could prove that the Bible had to be read some way other than literally, but first you needed proof, and Galileo had no proof that the earth moved. Therefore scriptural passages suggesting a fixed Earth should be read literally.   A committee then pronounced in 1616 that Copernicanism was heretical, and Copernicus’ book On the Revolutions (1543) was, for the first time, placed on the Index of Prohibited Books. Galileo’s trial was still 16 years away, but the stage had now been set, thanks to the Letter to Christina.  *Linda Hall Org



1811   “Having to conduct my grandson through his course of mathematics, I have resumed the study

with great avidity. It was ever my favorite one. We have no theories there, no uncertainties

remain on the mind; all is demonstration and satisfaction.” So wrote Thomas Jefferson (1743–

1826) to Benjamin Rush. Taken from The Writings of Thomas Jefferson, edited by A. A. Lipscomb, vol. 13 (1903), p. 75, as quoted from Cajori, Mathematics in Liberal Education, p. 109,

which is a collection of interesting quotations on the value of mathematics.




1825 A royal decree granted Neils Henrik Abel, then 23, sufficient funds for a year’s travel in France and Germany.  *VFR

 In 1815 Niels entered the cathedral school in Oslo, where his mathematical talent was recognized in 1817 with the arrival of a new mathematics teacher, Bernt Michael Holmboe, who introduced him to the classics in mathematical literature and proposed original problems for him to solve. 

Abel’s father died in 1820, leaving the family in straitened circumstances, but Holmboe contributed and raised funds that enabled Abel to enter the University of Christiania (Oslo) in 1821. Abel obtained a preliminary degree from the university in 1822 and continued his studies independently with further subsidies obtained by Holmboe.

Abel’s first papers, published in 1823, were on functional equations and integrals; he was the first person to formulate and solve an integral equation. His friends urged the Norwegian government to grant him a fellowship for study in Germany and France. In 1824, while waiting for a royal decree to be issued, he published at his own expense his proof of the impossibility of solving algebraically the general equation of the fifth degree, which he hoped would bring him recognition. He sent the pamphlet to Gauss, who dismissed it, failing to recognize that the famous problem had indeed been settled.




In 1858, Queen Victoria sent the first official telegraph message across the Atlantic Ocean from London to the US. (Test messages had been exchanged for 10 days). Her message to President Buchanan, in Washington DC, began transmission at 10:50am and was completed at 4:30am the next day, taking nearly 18-hrs to reach Newfoundland. With 99 words, consisting of 509 letters, it averaged about 2-min per letter. The message was forwarded across Newfoundland by an overhead wire supported on poles; across Cabot Strait by submarine cable to Aspy Bay (Dingwall), Cape Breton; and by an overhead wire across eastern Canada and Maine, via Boston to New York. This earliest Transatlantic cable went dead within a month.




1878 Hermite writes to Sylvester at Johns Hopkins concerned about his accepting a Math Chair in America to questioned the ability of the American people to contribute to research-level mathematics. Only three years later he would be reading the paper of Fabian Franklin, a young assistant mathematics instructor at Johns Hopkins, before the French Academy. The paper was on a short, purely graphic, proof of Euler's theorem on pentagonal numbers. *Karen Hunger Parshall, David E. Rowe; The Emergence of the American Mathematical Research Community, 1876-1900 Franklin would later wed Christine Ladd-Franklin (1882 ir 1884?).





1890  The US Census Bureau announces the U.S. population of 62,622,250, determined for the first time by using an automated method, the Hollerith Census Machine. The Hollerith machine sorted returns by completing an electrical circuit wherever a hole existed in a punch card and could process almost 10 times the number of census data than a human clerk.

Census workers used the Punch Pantograph to enter data. Hollerith formed the Tabulating Machine Company in 1896. This company merged with two others in 1924 to become the International Business Machines company or IBM.  Hollerith died November 17, 1929.



In 1898, the loop-de-loop Roller Coaster was patented by Edwin Prescott.*TIS The vertical loop is not a recent roller coaster innovation. Its origins can be traced back to the 1850s when centrifugal railways were built in France and Great Britain. In 1901 Prescott built the Loop-the-Loop at Coney Island. This ride used the modern teardrop-shaped loop and a steel structure, however more people wanted to watch the attraction, rather than ride. No more looping roller coasters were built until 1976 when Revolution opened at Six Flags Magic Mountain.*Wik

*Smithsonian


1941 When Herbert Robbins saw the proof sheet of the title page of What is Mathematics? with only the name Richard Courant on it, his first reaction was “My god, the man’s a crook.” Realizing that a quiet meeting on their co-authorship of the book would be impossible, Robbins wrote Courant on this date that, while the custom might be different in Europe, in this country the junior author did receive credit. Courant backed down, and so today we know this lovely book as one by Courant and Robbins.




1966 Stephen Smale, University of California, Berkeley, received the Fields Medal at the International Congress of Mathematicians in Moscow for his work on dynamical systems. Ten days later on the steps of Moscow University he will make a speech condemning American
military activity in Vietnam and Soviet military involvement in Hungary. *VFR




1983 Poland issued a stamp celebrating the 50th anniversary of the Enigma Decoding Machine. VFR









BIRTHS


1744 Pierre (-François-André) Méchain (16 Aug 1744; 20 Sep 1804). a French astronomer and hydrographer at the naval map archives in Paris recruited by Jean Delambre. He was a mathematical progidy. In 1790, they were chosen by the National Assembly to establish a decimal system of measurement based on the meter. Since this was defined to be one ten-millionth of the distance between the Earth's pole and the equator, Mechain led a survey of the meridian arc from Dunkirk, France, to Barcelona, Spain. Through his astronomical observations, Mechain discovered 11 comets and provided 26 additions to Messier's catalog. He calculated the orbits of the two comets he found in 1781. Mechain died of yellow fever while making further surveys for the meridian measurement. *TIS

 Méchain discovered a number of deep-sky nebulous objects, including M101 (the Pinwheel Galaxy; shown), M87 (the Owl Nebula), and M104 (the Sombrero Galaxy). 


*Wik



1821 Arthur Cayley, (16 August 1821 – 26 January 1895) English mathematician who played a leading role in founding the modern British school of pure mathematics. He trained first as a lawyer, and from 1849, spent 14 years at the bar, during which time he maintained an interest in mathematics and published about 250 mathematical papers. In 1863, Cayley followed his passion and commenced a new career as professor of Pure Mathematics at Cambridge and during his tenure published 900 papers and notes covering nearly every aspect of modern mathematics. The legacy of his work in n-dimensional geometry was later applied in physics to the study of the space-time continuum. His work on matrices served as a foundation for quantum mechanics developed by Werner Heisenberg in 1925. *TIS




1836 Marc-Antoine Parseval des Chênes (April 27, 1755 – August 16, 1836) was a French mathematician, most famous for what is now known as Parseval's theorem, which presaged the unitarity of the Fourier transform.
He was nominated to the French Academy of Sciences five times, from 1796 to 1828, but was never elected. His only mathematical publications were, apparently, five papers, published in 1806 as Mémoires présentés à l'Institut des Sciences, Lettres et Arts, par divers savants, et lus dans ses assemblées. Sciences mathématiques et physiques. (Savants étrangers.) This combined the following earlier monographs:

  1. "Mémoire sur la résolution des équations aux différences partielles linéaires du second ordre," (May 5, 1798).
  2. "Mémoire sur les séries et sur l'intégration complète d'une équation aux différences partielles linéaires du second ordre, à coefficients constants," (April 5, 1799).
  3. "Intégration générale et complète des équations de la propagation du son, l'air étant considéré avec ses trois dimensions," (July 5, 1801).
  4. "Intégration générale et complète de deux équations importantes dans la mécanique des fluides," (August 16, 1803).
  5. "Méthode générale pour sommer, par le moyen des intégrales définies, la suite donnée par le théorème de M. Lagrange, au moyen de laquelle il trouve une valeur qui satisfait à une équation algébrique ou transcendante," (May 7, 1804).

It was in the second, 1799, memoir in which he stated, but did not prove (claiming it to be self-evident), the theorem that now bears his name. He further expanded upon it in his 1801 memoir, and used it to solve various differential equations. The theorem was first printed in 1800 as a part (p. 377) of Traité des différences et des séries by Lacroix.
*Wik




1837 Joseph-Marie de Tilly,(16 Aug 1837 in Ypres, Belgium - 4 Aug 1906 in Munich, Germany) Belgian mathematician, born. In 1899 he was dismissed from his teaching post at the Ecole Militaire for unduly emphasizing the scientific education of future officers and using the notions of the infinitely small and the differential. *VFR

 In 1858, he became a teacher in mathematics at the regimental school. He began with studying geometry, particularly Euclid's fifth postulate and non-Euclidean geometry. He found similar results as Lobachevsky in 1860, but the Russian mathematician was already dead at that time. Tilly is more known for his work on non-Euclidean mechanics, as he was the one who invented it. He worked thus alone on this topic until a French mathematician, Jules Hoüel, showed interest in that field. Tilly also wrote on military science and history of mathematics. He died in München, Germany.




1845 Gabriel Lippman (16 Aug 1845; 13 Jul 1921).French physicist, born Hollerich, Luxembourg, who received the Nobel Prize for Physics in 1908 for producing the first colour photographic plate. Lippmann was a giant of his day in classical physics research, especially in optics and electricity. He worked in Berlin with the famed Hermann von Helmholtz before settling in Paris to head (in 1886) the Sorbonne's Laboratories of Physical Research until his death. His inventions include an instrument for precisely measuring minute differences in electrical power and the "coleostat" for steady, long-exposure sky photography.*TIS\




1884 Hugo Gernsback (August 16, 1884 – August 19, 1967), born Hugo Gernsbacher, was a Luxembourgish-American inventor, writer, editor, and magazine publisher, best known for publications including the first science fiction magazine. His contributions to the genre as publisher were so significant that, along with the novelists H. G. Wells and Jules Verne, he is sometimes called "The Father of Science Fiction". In his honor, annual awards presented at the World Science Fiction Convention are named the "Hugos" *Wik

Gernsback's second novel, Baron Münchausen's Scientific Adventures, was serialized in Amazing in 1928, with the opening installment taking the February cover




1904 Wendell Meredith Stanley (16 August 1904 – 15 June 1971) was an American biochemist, virologist and Nobel laureate. Stanley was born in Ridgeville, Indiana, and earned a BS in Chemistry at Earlham College in Richmond, Indiana. He then studied at the University of Illinois, gaining an MS in science in 1927 followed by a Ph.D. in chemistry two years later. His later accomplishments include writing the book "Chemistry: A Beautiful Thing" and achieving his high stature as a Pulitzer Prize nominee.
Stanley was awarded the Nobel Prize in Chemistry for 1946. His other notable awards included the Rosenburger Medal, Alder Prize, Scott Award, and the AMA Scientific Achievement Award. He was also awarded honorary degrees by many universities both American and foreign, including Harvard, Yale, Princeton and the University of Paris. Most of the conclusions Stanley had presented in his Nobel-winning research were soon shown to be incorrect (in particular, that the crystals of mosaic virus he had isolated were pure protein, and assembled by autocatalysis)
Stanley married Marian Staples (1905-1984) in 1929 and had three daughters (Marjorie, Dorothy and Janet), and a son, (Wendell M. Junior). Stanley Hall at UC Berkeley (now Stanley Biosciences and Bioengineering Facility) and Stanley Hall at Earlham College are named in his honor. *Win




1905 Marian Adam Rejewski (16 August 1905 – 13 February 1980) was a Polish mathematician and cryptologist who in 1932 solved the plugboard-equipped Enigma machine, the main cipher device used by Germany. The success of Rejewski and his colleagues Jerzy Różycki and Henryk Zygalski jump-started British reading of Enigma in World War II; the intelligence so gained, code-named "Ultra", contributed, perhaps decisively, to the defeat of Nazi Germany.
While studying mathematics at Poznań University, Rejewski had attended a secret cryptology course conducted by the Polish General Staff's Biuro Szyfrów (Cipher Bureau), which he joined full-time in 1932. The Bureau had achieved little success reading Enigma and in late 1932 set Rejewski to work on the problem. After only a few weeks, he deduced the secret internal wiring of the Enigma. Rejewski and his two mathematician colleagues then developed an assortment of techniques for the regular decryption of Enigma messages. Rejewski's contributions included devising the cryptologic "card catalog," derived using his "cyclometer," and the "cryptologic bomb."
Five weeks before the German invasion of Poland in 1939, Rejewski and his colleagues presented their results on Enigma decryption to French and British intelligence representatives. Shortly after the outbreak of war, the Polish cryptologists were evacuated to France, where they continued their work in collaboration with the British and French. They were again compelled to evacuate after the fall of France in June 1940, but within months returned to work undercover in Vichy France. After the country was fully occupied by Germany in November 1942, Rejewski and fellow mathematician Henryk Zygalski fled, via Spain, Portugal and Gibraltar, to Britain. There they worked at a Polish Army unit, solving low-level German ciphers. In 1946 Rejewski returned to his family in Poland and worked as an accountant, remaining silent about his cryptologic work until 1967. *Wik




1907 Dura Kurepa (16 Aug 1907, 2 Nov 1993)The topics which Kurepa investigated are very varied but lie mostly within topology, set theory and number theory. He published over 200 papers but this number rises to over 700 items if we include books, articles and reviews. He was fascinated by the continuum hypothesis and the axiom of choice. Perhaps best known is his work on trees and partitions, especially Aronszajn and Suslin trees. His book The Theory of Sets written in Serbo-Croatian and published in 1951 illustrates his interests in that particular area. After introducing the fundamental concepts and elementary operations in Chapter 1, he looks at cardinal numbers in the second chapter, then partially ordered sets and ordinal numbers in the third. Chapter 4 is on topological and metric spaces, with the fifth and final chapter on limiting processes in analysis, measure theory, Borel and Souslin sets.
In number theory he made many contributions, but perhaps his most famous is his open problem on the left factorial function. In 1971 he published his definition of !n, the left factorial function, defined by
!n = 0! + 1! + 2! + 3! + ... + (n-1)!.
Kurepa conjectured that the greatest common divisor of !n and n! was 2 for all n > 1. There are many equivalent forms of the conjecture, but one of the most natural was given by Kurepa in the same 1971 paper, namely that !n is not divisible by n for any n > 2. If the left factorial conjecture is false we certainly know that it will fail for n > 1000000.*SAU
The same left factorial notation is more commonly used for the subfactorial used in derangements. Many mathematicians simply use "factorial sum" for Kurepa's !n. It is interesting that no one seems to have picked up on the use of an inverted exclamation point as suggested by G. Chrystal in his "Algebra, an Elementary Textbook for the Higher Classes of Secondary Schools and for Colleges", (1889 (pg 25))




1920 Richard Ernest Bellman (August 26, 1920 – March 19, 1984) was an American applied mathematician, celebrated for his invention of dynamic programming in 1953, and important contributions in other fields of mathematics. A Bellman equation, also known as a dynamic programming equation, is a necessary condition for optimality associated with the mathematical optimization method known as dynamic programming. Almost any problem which can be solved using optimal control theory can also be solved by analyzing the appropriate Bellman equation. The Bellman equation was first applied to engineering control theory and to other topics in applied mathematics, and subsequently became an important tool in economic theory. The "Curse of dimensionality", is a term coined by Bellman to describe the problem caused by the exponential increase in volume associated with adding extra dimensions to a (mathematical) space.*Wik




1958  Anne Geneviève L'Huillier ( born 16 August 1958, ) is a French physicist, and professor of atomic physics at Lund University in Sweden.

She leads an attosecond (10^-18) physics group which studies the movements of electrons in real time, which is used to understand the chemical reactions on the atomic level. Her experimental and theoretical research are credited with laying the foundation for the field of attochemistry. In 2003 she and her group beat the world record for the shortest laser pulse, of 170 attoseconds.

L'Huillier became a member of the Royal Swedish Academy of Sciences in 2004. She has received various physics awards including the Wolf Prize in Physics in 2022 and the Nobel Prize in Physics in 2023.





DEATHS




1705 Jakob Bernoulli . (27 December 1654 – 16 August 1705) He was so fascinated with the way the logarithmic spiral reproduces itself in its involute, its evolute, and its caustics of reflection and refraction, that he requested it be engraved on his tombstone, together with the inscription Eadem mutata resurgo (Though changed, I will arise the same). *VFR (the spiral on his tombstone is not logarithmic, but Archimedian... perhaps he is spinning in his grave even yet.)
 He was one of the first to fully utilize differential calculus and introduced the term "integral" in integral calculus. Jacob Bernoulli's first important contributions were a pamphlet on the parallels of logic and algebra (1685), work on probability in 1685 and geometry in 1687. His geometry result gave a construction to divide any

triangle into four equal parts with two perpendicular lines.(a nice exercise to try

----A short digression about this quadrisection construction -----------

He gave a general algebraic solution which required finding a root of a polynomial of degree 8 and worked this out numerically for one scalene triangle.The question of whether Bernoulli’s polynomial equation of degree 8 has the needed root in all cases is not answered completely.

 Leonhard Euler wrote a 22 page paper in 1779 in which he gives a complete solution using trigonometry.

Euler states his solution in a theorem which we paraphrase.

Theorem 1. (Euler 1779) Given a scalene triangle ∆ABC with AB the side of middle length, there is a quadrisection XP and Y Q intersecting in a point O in the interior of the triangle so that X and Y lie on side AB and triangle XOY is one of the 4 areas of the quadrisection. The other areas of the quadrisection are quadrangles.  Euler does not claim that the triangular portion of a quadrisection must lie on the side of middle length. Also, he does not appear to discuss whether there is more than one quadrisection of a triangle, except to note that an equilateral triangle has 3 quadrisections. In fact, we will see there are lots of triangles with quadrisections where the triangular portion lies on the shortest side, but no triangles having a quadrisection with the triangular portion on the longest side.

Revisiting the quadrisection problem of Jacob Bernoulli. Carl Eberhart 

------------------------End Digression------------------

By 1689 he had published important work on infinite series and published his law of large numbers in probability theory. He published five treatises on infinite series (1682 - 1704). He was the first of the Bernoulli family of mathematicians. *TIS
Jacob Bernoulli’s Ars Conjectandi from 1713 is the first major book on the theory of probability and statistics. It is because of its 300 years anniversary that 2013 was named the international year of Statistics. The exhibited copy is in fact a first edition! It is showing the proof of the law of large numbers, one of the results for which it is famous. * University of Copenhagen Dept of Math Sciences


1899 Robert Wilhelm Eberhard Bunsen (30 March 1811[?) – 16 August 1899) was a German chemist. He investigated emission spectra of heated elements, and discovered caesium (in 1860) and rubidium (in 1861) with the physicist Gustav Kirchhoff. The Bunsen–Kirchhoff Award for spectroscopy is named after Bunsen and Kirchhoff.

Bunsen also developed several gas-analytical methods, was a pioneer in photochemistry, and did early work in the field of organic arsenic chemistry. With his laboratory assistant Peter Desaga, he developed the Bunsen burner, an improvement on the laboratory burners then in use. *Wik

His Bunsen burner was created for use in flame tests of various metals and salts because its nonluminous flame did not interfere with the colored flame given off by the test material.*TiS



1920 Sir Joseph Norman Lockyer (17 May 1836, 16 Aug 1920) British astronomer who in 1868 discovered and named the element helium that he found in the Sun's atmosphere before it had been detected on Earth. He also applied the name chromosphere for the sun's outer layer. Lockyer discovered, together with Pierre J. Janssen, the prominences (red flames) that surround the solar disk. He was also interested in the classification of stellar spectra and developed the meteoric hypothesis of stellar evolution. His works include the books Contributions to Solar Physics (1873), The Sun's Place in Nature (1897) and Inorganic Evolution (1900). *TIS

A solar prominence (also known as a filament when viewed against the solar disk) is a large, bright feature extending outward from the Sun's surface. Prominences are anchored to the Sun's surface in the photosphere, and extend outwards into the Sun's hot outer atmosphere, called the corona.





1995 Thomas Brooke Benjamin​, FRS (15 April 1929 – 16 August 1995) was an English mathematical physicist and mathematician, best known for his work in mathematical analysis and fluid mechanics, especially in applications of nonlinear differential equations. *Wik




2013 David Rees FRS (29 May 1918 – 16 August 2013) was a British professor of pure mathematics at the University of Exeter, having been head of the Mathematics / Mathematical Sciences Department at Exeter from 1958 to 1983. During the Second World War, Rees was active on Enigma research in Hut 6 at Bletchley Park.

Rees won a scholarship to Sidney Sussex College, Cambridge, supervised by Gordon Welchman and graduating in summer 1939. On completion of his education, he initially worked on semigroup theory; the Rees factor semigroup is named after him. He also characterised completely simple and completely 0-simple semigroups, in what is nowadays known as Rees's theorem. The matrix-based semigroups used in this characterisation are called Rees matrix semigroups.

Later in 1939, Welchman drafted Rees into Hut 6, Bletchley Park, for the war effort. He was credited with the first decode using the Herivel tip. He was subsequently seconded to the Enigma Research Section, where the Abwehr Enigma was broken, and later to the Newmanry, where the Colossus computer was built.

After the war, Rees was appointed an assistant lecturer at Manchester University in 1945 and a full lecturer at University of Cambridge in 1948. In 1949, he was a Fellow of Downing College.

At the behest of Douglas Northcott he switched his research focus to commutative algebra. In 1954, in a joint paper with Northcott, Rees introduced the Northcott–Rees theory of reductions and integral closures, which has subsequently been influential in commutative algebra. In 1956 he introduced the Rees decomposition of a commutative algebra.

In 1958, Rees and his family moved to Exeter, where he had been appointed to the Chair of Pure Mathematics. In 1959, he was awarded a DSc by the University of Cambridge.

According to Craig Steven Wright, Rees was the third part of the Satoshi team that created Bitcoin.*Wik






Credits :
*CHM=Computer History Museum
*FFF=Kane, Famous First Facts
*NSEC= NASA Solar Eclipse Calendar
*RMAT= The Renaissance Mathematicus, Thony Christie
*SAU=St Andrews Univ. Math History
*TIA = Today in Astronomy
*TIS= Today in Science History
*VFR = V Frederick Rickey, USMA
*Wik = Wikipedia
*WM = Women of Mathematics, Grinstein & Campbell