Wednesday, 9 September 2026

On This Day in Math - September 10

  



This branch of mathematics [Probability] is the only one, I believe, in which good writers frequently get results which are entirely erroneous.
~Charles S Peirce

The 253rd day of the year; 253 is the 22nd triangular number, and thus the number of combinations of 23 things taken two at a time. It is also the largest of the six triangular year days that are biprimes(the product of two primes) 11 x 23 = 253.

More unusual for a triangular number, it is also the 9th centered heptagonal number. It seems there there are only five known numbers that are both triangular and centered heptagonal. (I found it interesting that if you find the digital roots of the centered hexagonal numbers, the sequence of the digital roots has period 9: repeat[1, 8, 4, 7, 8, 7, 4, 8, 1] (the period is a palindrome))

253 can be written as the sum of consecutive natural number in three different ways, including 1+2+.... + 22

25-3 is prime. Derek Orr pointed out that 2+53 is also prime, in fact, it’s a Mersenne prime, M7



EVENTS


1542 In an apocryphal letter to Rabelais, Charles V of Spain offered 1000 escudos for the solution of the quadrature of the circle problem. This letter was one of 27,345 forged by Denis Vrain-Lucas between 1861 and 1869 and sold to Michel Chasles for 140,000 franks. [Mathematics Magazine 61 (1988), pp. 159-160].*VFR 

Chasles (15 November 1793 – 18 December 1880) was a French mathematician and math historian.  In 1837 he published the book Aperçu historique sur l'origine et le développement des méthodes en géométrie ("Historical view of the origin and development of methods in geometry"), a study of the method of reciprocal polars in projective geometry. The work gained him considerable fame and respect and he was appointed Professor at the École Polytechnique in 1841, then he was awarded a chair at the Sorbonne in 1846. A second edition of this book was published in 1875. 

Chasles purchased some of the 27,000 forged letters from Frenchman Denis Vrain-Lucas. Included in this trove were letters from Alexander the Great to Aristotle, from Cleopatra to Julius Caesar, and from Mary Magdalene to a revived Lazarus, all in a fake medieval French. In 2004, the journal Critical Inquiry published a recently "discovered" 1871 letter written by Vrain-Lucas (from prison) to Chasles, conveying Vrain-Lucas's perspective on these events, itself an invention.


I imagine this expression is the same as when he found out his purchases were fakes.




1751 Believing that he had been unfairly treated by Euler in the Berlin Academy Prize competition of 1750, d’Alembert sends an angry letter to Euler with whom he had corresponded for several years. In December 1750, the young astronomer Augustin Nathanael Grischow (1726-1760) was dismissed from the Berlin Academy. Grischow, had been one of the three judges of the 1750 competition. He was also an acquaintance of d'Alembert. No doubt humiliated by the Academy's actions, he made trouble for his former colleagues by revealing to d'Alembert and others in Parisian society his version of the events that had led to the rejection of all the entries in that competition. Whatever may have actually happened behind closed doors, d'Alembert came away with the belief that Euler had recognized his entry and convinced Grischow and the other judge that the paper, which they considered to be the front-runner, had not sufficiently answered the question set for the competition.
The Berlin competition, like other prize competitions of this time, involved anonymous entries, identified only by a motto or dévise. It would not have been difficult for Euler to identify d'Alembert's distinctive mathematical style, so the story has at least some credibility. In any case, d'Alembert believed that he had been treated unfairly, and broke off his correspondence with Euler in an angry letter of September 10, 1751



1858: The asteroid 55 Pandora was discovered by George Mary Searle from the Dudley Observatory. *David Dickinson ‏@Astroguyz It was his first, and only asteroid discovery. It is named after Pandora, the first woman in Greek mythology, who unwisely opened a box that released evil into the world. The name was apparently chosen by Blandina Dudley, founder of the Dudley Observatory, who had been involved in an acrimonious dispute with astronomer B. A. Gould. Gould felt that the name had an "apt significance". The asteroid shares its name with Pandora, a moon of Saturn *Wik

Dudley Observatory is an astronomical education non-profit located since 2019 in Loudonville, New York and is the oldest non-academic institution of astronomical research in America.  It was formerly located in Albany, New York (1856-1973) and Schenectady (1973-2019) and was once a working observatory.

The Observatory was chartered on February 11, 1852 by the New York State Senate, and by the New York State Assembly on April 3, 1852. It was named for Charles E. Dudley of Albany, a former United States Senator and member of the Albany Regency. Dudley lived in New York State, died in 1841, and his widow Blandina Bleeker Dudley endowed the Dudley Observatory after his death.

Dudley Observatory has operated from at least six separate sites since its founding.




1885 Galton introduced regression. *SAU The statistical concept of regression has its origins in an attempt by Francis Galton (1822-1911) to find a mathematical law for one of the phenomena of heredity. 

Galton observed that extreme characteristics (e.g., height) in parents are not passed on completely to their offspring. Rather, the characteristics in the offspring regress toward a mediocre point (a point which has since been identified as the mean). By measuring the heights of hundreds of people, he was able to quantify regression to the mean, and estimate the size of the effect. Galton wrote that, "the average regression of the offspring is a constant fraction of their respective mid-parental deviations". 

 His model (as it would be called today) was extended by Karl Pearson and G. Udny Yule and the biological reference eventually disappeared. The Pearson-Yule notion of regression was based on the multivariate normal distribution but R. A. Fisher re-founded regression using the model Gauss had proposed for the theory of errors and method of least squares. *Jeff Miller, Earliest Known Uses of Some of the Words of Mathematics.

*Wik



1935   Italian immigrant Ettore “Hector” Boiardi patented a production spaghetti cooker for his factory. It was an unglamorous piece of equipment, but it was a sign of how far Hector’s business had come.

Born in northern Italy, Hector worked in kitchens in Paris and London before immigrating to America. His arrival was paved by his brother Paul—a popular maître d’ at New York City’s Plaza Hotel—who got Hector a kitchen job there. He was soon head chef.

You may know the company better as Chef Boyardee.  There really was a Chef Boyardee, and this was his American dream.

But Hector outgrew that kitchen and moved to Cleveland to open his own restaurant. Italian food was still a novelty in America at the time—especially in the Midwest. His restaurant served spaghetti with his coveted sauce. Customers loved it so much they wanted to take it home. A takeout meal kit business—not a thing then—was accidentally born, as Hector sent customers home with pasta, sauce, cheese, and instructions.

The restaurant’s cooks couldn’t keep up with takeout orders, but Hector saw potential. He invested in a canning and processing plant, and in 1928 the Chef Boiardi Food Company was born, with his brothers Paul and Mario joining him.

Business boomed. But Americans couldn’t pronounce his last name. So, Hector made the spelling phonetic, creating the name we all know today to grace grocery store shelves.*Britannica

Boiardi in a 1953 television commercial *Wik



2009 UK apologizes to Turing (Perhaps a little late???).  Alan Turing committed suicide in 1954 because he was persecuted by the British Government for his homosexuality. The Government feared he might be a security risk as many (almost all) of his actions on behalf of the war effort at Bletchley Park were still classified. On 10 September 2009, following an Internet campaign, British Prime Minister Gordon Brown made an official public apology on behalf of the British government for the way in which Turing was treated after the war.

A great story I heard at a lecture at the Center for Mathematical Sciences at Cambridge from a young lady (sorry I don't have my notes here) who was talking about the Enigma project in Bletchley Park. Alan Turing, of course, was instrumental in the code breaking efforts there and it was while he was there that he laid the foundation for the programmable computer. Now Bletchley was a VERY secret project, and it wasn't made public until years later. She told of a young man who spent the war years there without being able to tell anyone what he was doing. After the war one of his old teachers walked up to him and cursed him for having hid out at a desk job while his friends gave their lives in the war. Turing, it seems, became a problem for the British Security services when their fears that his homosexuality would make him subject to blackmail and therefor a security risk. He eventually was hounded out of public service and could not get work.

Now the side note is that Turing was fascinated with the story of Snow White, and when he was found dead there was an apple laced with arsenic (ok, found out it was cyanide), and apparently they found it in his body, but no one checked the apple??? on his night table beside him, with one bite out of it. There is some question about whether a tortured Turing killed himself, or if he was done away with by the paranoid security agencies. Whichever, the story was passed around by computer geeks down through the years. Years later, as two young computer nerds were developing a really cool new approach to computing, they decided that they would honor Turing's part in the computer process by symbolizing his death in their logo, an apple with a bite out of it. The story, as she said, is too good not to tell, even if it is totally untrue.


There is a memorial in Manchester of Turing sitting on a bench.  Look closely at his right hand with the apple.  Great stories never die!


   



Turing w/ Bombes at Bletchly



2016 A thirty ton meteorite found in Argentina buried only 3 meters deep, is probably the second largest known. The largest is the 66-ton Hoba meteorite discovered in Namibia, Africa. *Universe Today




BIRTHS


1838 Charles Sanders Peirce (10 Sep 1839; 19 Apr 1914) American scientist, logician, and philosopher who is noted for his work on the logic of relations and on pragmatism as a method of research. He was the first modern experimental psychologist in the Americas, the first metrologist to use a wave-length of light as a unit of measure, the inventor of the quincuncial projection of the sphere, the first known conceiver of the design and theory of an electric switching-circuit computer, and the founder of "the economy of research." He is the only system-building philosopher in the Americas who has been both competent and productive in logic, in mathematics, and in a wide range of sciences.*TIS He was elected to the National Academy of Sciences (United States) in April 1877 and published the results of his earlier research in astronomy in a book Photometric Researches (1878). Although his work had been wide ranging in the sciences, he had always been interested in philosophy and logic and, in 1879, he was appointed as Lecturer in Logic in the Department of Mathematics at Johns Hopkins University. Sylvester was Head of Mathematics at Johns Hopkins University at this time and for a while things went well for Peirce. He became interested in the Four Colour Problem, and problems of knots and linkages studied by Kempe. He then extended his father's work on associative algebras and worked on mathematical logic, topology and set theory. However by now Peirce was living with Juliette Froissy Pourtalès, a French gypsy. He was divorced from his first wife Melusina on 24 April 1883 and married Juliette six days later. In 1884 Simon Newcomb, who had just been appointed professor of mathematics and astronomy at Johns Hopkins University, reported to the trustees of the university that Peirce had been living with a French gypsy while still married to Melusina. Not wishing to be involved in a scandal, the trustees chose not to renew Peirce's contract. Peirce would never hold another academic post. *SAU



1857 James Edward Keeler (10 Sep 1857; 12 Aug 1900) was an American astronomer who confirmed Maxwell's theory that the rings of Saturn were not solid (requiring uniform rotation), but composed of meteoric particles (with rotational velocity given by Kepler's 3rd law). His spectrogram of 9 Apr 1895 of the rings of Saturn showed the Doppler shift indicating variation of radial velocity along the slit. At the age of 21, he observed the solar eclipse of Jul 1878, with the Naval Observatory expedition to Colorado. He directed the Allegheny Observatory (1891-8) and the Lick Observatory from 1898, where, working with the Crossley reflector, he observed large numbers of nebulae whose existence had never before been suspected. He died unexpectedly of a stroke, age 42*TIS



1861 Theodor Molien​ or Fedor Eduardovich Molin​ (September 10, 1861 - December 25, 1941) was a Baltic-German mathematician. He was born in Riga, Latvia, which at that time was a part of Russian Empire. Molien studied associative algebras and polynomial invariants of finite groups.*Wik Emmy Noether, referring to Molien's paper Über Systeme höherer complexer Zahlen (1893), wrote "The most general theorems about algebras go back to Molien. " *SAU



1863 Charles E. Spearman, FRS, (10 September 1863 - 17 September 1945)British psychologist and behavioral scientist perhaps best known for his work in statistics, especially in factor analysis, where he led its use is psych and in some circles is considered its inventor. Spearman was strongly influenced by the work of Galton, who developed correlation, which became the main statistical tool used by Spearman. Spearman developed rank correlation in 1904, a nonparametric version of conventional Pearson [APStat] correlation. The well-known Spearman's rank-correlation coefficient formula,1 - 6 SUM d^2 /[n(n^2 - 1)], is simply Pearson's product-moment-correlation coefficient, cov(x,y)/(sxsy), applied to ranks. (Not so surprisingly, Pearson did not appreciate Spearman's stat work, and there was a long feud between them.)*David Bee




1892 Arthur Holly Compton (10 Sep 1892; 15 Mar 1962) American physicist and engineer. He was a joint winner, with C.T.R. Wilson of England, of the Nobel Prize for Physics (1927) for his discovery and explanation of the change in the wavelength of X rays when they collide with electrons in metals. This so-called Compton effect is caused by the transfer of energy from a photon to a single electron, then a quantum of radiation is re-emitted in a definite direction by the electron, which in so doing must recoil in a direction forming an acute angle with that of the incident radiation. During WW II, in 1941, he was appointed Chairman of the National Academy of Sciences Committee to Evaluate Use of Atomic Energy in War, assisting in the development of the atomic bomb.*TIS After WWII, Compton became Chancellor of Washington University in St. Louis. During his time as Chancellor, the university formally desegregated its undergraduate divisions, named its first female full professor, and enrolled a record number of students as wartime veterans returned to the United States. Compton's brother, Karl, was the President of MIT and a prominent American physicist. *Wik

On Jan. 13, 1936, Time published its fifth issue with a scientist on the cover .  Arthur Holly Compton Compton was born in Ohio, the youngest of three brothers, all of whom would earn PhD's from Princeton and all of whom would be president or chancellor of a major university at some point in their careers.  Henry Fairfield Osborn (Dec 31,1928), Albert Einstein (Feb. 18, 1929) , James B. Conant (September 28 1936 ),  Harlow Shapley (July 29, 1935) were the four scientist before him on Time covers.  *Linda Hall org



1897 William Greaves (10 September 1897 – 24 December 1955) graduated from Cambridge and then worked at the Royal Observatory Greenwich. He became Professor of Astronomy in Edinburgh. He worked on both theoretical and practical astronomy. *SAU


1903 Georges de Rham (10 September 1903 – 9 October 1990) was a Swiss mathematician, known for his contributions to differential topology.
He studied at the University of Lausanne and then in Paris for a doctorate, becoming a lecturer in Lausanne in 1931; where he held positions until retirement in 1971; he held positions in Geneva in parallel.
In 1931 he proved de Rham's theorem, identifying the de Rham cohomology groups as topological invariants. *Wik



1919 Robert B. Leighton (September 10, 1919–March 9, 1997) was a prominent American experimental physicist who spent his professional career at the California Institute of Technology (Caltech). Leighton was known as a remarkably ingenious physicist and astrophysicist during his 58 years at Caltech. He found no instrumentation problem too difficult, especially if it might open a new part of the electromagnetic spectrum to observation. His subject matter evolved from physics to astrophysics as he helped astronomy take on its modern shape. *Wik Suring the only total eclipse he tried to observe (Hawaii 1991), he was clouded out. But, using the 60-ft. solar tower at Mt. Wilson (California) more than 30 years earlier, he had discovered
the 5-min. and 15-min. oscillations of the Sun, thereby creating the field of helioseismology, which occupies several dozen scientists around the world today. *NSEC



1920 Calyampudi Radhakrishna Rao FRS (10 September 1920 – 22 August 2023) was an Indian-American mathematician and statistician. He was professor emeritus at Pennsylvania State University and research professor at the University at Buffalo. Rao was honoured by numerous colloquia, honorary degrees, and festschrifts and was awarded the US National Medal of Science in 2002. The American Statistical Association has described him as "a living legend" whose work has influenced not just statistics, but has had far reaching implications for fields as varied as economics, genetics, anthropology, geology, national planning, demography, biometry, and medicine." The Times of India listed Rao as one of the top 10 Indian scientists of all time.

In 2023, Rao was awarded the International Prize in Statistics, an award often touted as the "statistics' equivalent of the Nobel Prize". Rao was also a Senior Policy and Statistics advisor for the Indian Heart Association non-profit focused on raising South Asian cardiovascular disease awareness.

Among his best-known discoveries are the Cramér–Rao bound and the Rao–Blackwell theorem both related to the quality of estimators. *Wik



1930 Anatoliy Volodymyrovych Skorokhod (September 10, 1930 – January 3, 2011) was a Soviet and Ukrainian mathematician, and an academician of the National Academy of Sciences of Ukraine from 1985 to his death.
In 1956–1964 he worked at Kyiv University. From 1964 until 2002, he was at the Institute of Mathematics of the National Academy of Sciences of Ukraine. At the same time, he was a professor at Kyiv University. Since 1993, he had been a professor at Michigan State University, U.S., and a member of the American Academy of Arts and Sciences.
His scientific works are on the theory of stochastic differential equations, limit theorems of random processes, distributions in infinite-dimensional spaces, statistics of random processes and Markov processes.
Skorokhod is the author of more than 450 scientific works, including more than 40 monographs and books. *Wik



1931 Ernst Eduard Kummer (1810–1893) solved a prize problem dealing with the expanding sin(nx) in powers of sin and cos which was posed by his professor Heinrich Ferdinand Scherk, and consequently was awared his Ph.D. degree at age 21 from the University of Halle. He taught as a Gymnasium teacher for 11 years before he became a professor at the University of Breslau. *SAU

by Andreas Strick, MacTutor SAU



1941 Stephen Jay Gould (10 Sep 1941; 20 May 2002) American paleontologist, evolutionary biologist, and science writer who grew up in New York City. He graduated from Antioch College and received his Ph.D. from Columbia University in 1967. Since then he has been Professor of Geology and Zoology at Harvard University. He considers himself primarily a palaeontologist and an evolutionary biologist, though he teaches geology and the history of science as well. A frequent and popular speaker on the sciences, his published work includes both scholarly study and many prize-winning popular collections of essays.*TIS



1948 Charles Simonyi, (September 10, 1948, )whose work as chief architect of Microsoft Word is born in Budapest, Hungary. After moving to the United States for study at the University of California, Berkeley. Simonyi took a job at the Xerox PARC in Palo Alto, developing the first WYSIWYG (What You See Is What You Get) word-processing editor. Later, at Microsoft, he integrated such theories into Word and Multiplan, the predecessor of the Microsoft Excel spreadsheet.*CHM





DEATHS


1635 Johann Faulhaber (5 May 1580; Ulm, Germany – 10 September 1635; Ulm, Germany) was a German mathematician.
Born in Ulm, Faulhaber was trained as a weaver. However he was taught mathematics in Ulm and showed such promise that the City appointed him city mathematician and surveyor. He opened his own school in Ulm in 1600 but he was in great demand because of his skill in fortification work. He collaborated with Johannes Kepler and Ludolph van Ceulen. Besides his work on the fortifications of cities (notably Basel and Frankfurt), Faulhaber built water wheels in his home town and geometrical instruments for the military. Faulhaber made the first publication of Henry Briggs's Logarithm in Germany.
Faulhaber's major contribution was in calculating the sums of powers of integers, what is now called Faulhaber's formula. Jacob Bernoulli makes references to Faulhaber in his Ars Conjectandi and the Bernouli numbers arise in solving coefficients of Faulhaber's formula.
In Academia Algebra Faulhaber gives ∑ nk as a polynomial in N, for k = 1, 3, 5, ... ,17. He also gives the corresponding polynomials in n. Faulhaber states that such polynomials in N exist for all k, but gave no proof. This was first proved by Jacobi in 1834. It is not known how much Jacobi was influenced by Faulhaber's work, but we do know that Jacobi owned Academia Algebra since his copy of it is now in the University of Cambridge.
At the end of Academia Algebra Faulhaber states that he has calculated polynomials for ∑ nk as far as k = 25. He gives the formulae in the form of a secret code, which was common practice at the time. Donald Knuth suggests he is the first to crack the code: (the task [of cracking the code] is relatively easy with modern computers) and shows that Faulhaber had the correct formulae up to k = 23, but his formulae for k = 24 and k = 25 appear to be wrong.
A nice example of how to calculate sum of powers using Pascal's arithmetic triangle is given at Theorem of the Day.
*SAU *Wik




1749 Emilie du Chˆatelet died of childbed fever (Voltaire was her lover then, but not the father of the child). Ten years later her annotated translation of Newton’s Principia was published. It is still the only French translation (is this true?). *VFR She took to mathematics and the sciences, being exposed to distinguished guests of her aristocratic parents. Emilie was interested in the philosophies of Newton and Leibniz, and dressed as a man to enter the cafes where the scientific discussions of the time were carried on. Châtelet's major work was a translation of Newton's Principia, begun in 1745. Voltaire wrote the preface. The complete work appeared in 1759 and was for many years the only translation of the Principia into French.

Portrait by Maurice Quentin de La Tour, *Wik



1915 John Howard Van Amringe (3 April 1835 in Philadelphia, Pennsylvania, USA - 10 Sept 1915 in Morristown, New Jersey, USA) was a U.S. educator and mathematician. He was born in Philadelphia, and graduated from Columbia in 1860. Thereafter, he taught mathematics at Columbia, holding a professorship from 1865 to 1910 when he retired. Van Amringe was also the first Dean of Columbia College, the university's undergraduate school of arts and sciences, which he defended from dismemberment and incorporation into the larger university. During his long presence at the school, he made many addresses and enjoyed unrivaled popularity. He is memorialized with a bust enshrined in a column-supported cupola on "Van Am Quad" in the southeastern portion of the campus, surrounded by three College dormitories (John Jay Hall, Hartley Hall, and Wallach Hall) and by the main College academic building, Hamilton Hall. He is buried in Greenwood Cemetery in Brooklyn.
Van Amringe served as the first president of the American Mathematical Society between 1888 and 1890.
In honor of Van Amringe, Columbia University's Department of Mathematics has presented a "Van Amringe Mathematical Prize" each year (since 1911) to the best freshman or sophomore mathematics student, based on a very challenging examination. *Wik




1931 Dimitri Fjodorowitsch Jegorow (egorov) (December 10,(Julian)/ December 22 1869 (greg) in Moscow - 10 September 1931 in Kazan). Egorov worked on triply orthogonal systems and potential surfaces, making a major contribution to differential geometry. Some of Egorov's work was presented by Darboux in his famous four volume work Leçons sur la théorie général des surfaces et les applications géométriques du calcul infinitésimal.
Egorov also worked on integral equations and a theorem in the theory of functions of a real variable is named after him. Luzin was Egorov's first student and became a member of the school Egorov created in Moscow dealing with functions of a real variable. Some time later he was arrested as a "religious sectarian" and put in prison. The Moscow Mathematical Society continued to support Egorov, refusing to expel him, and those who presented papers at the next meeting, including Kurosh, were to be expelled by an "Initiative group" who took over the Society in November 1930. They expelled Egorov denouncing him as a reactionary and a churchman.
Egorov went on a hunger strike in prison and eventually, by this time close to death, he was taken to the prison hospital in Kazan. Chebotaryov's wife was working as a doctor in the prison hospital and, although it sounds rather unlikely, it is reported that Egorov died at Chebotaryov's home. *SAU



1941 Fritz Alexander Ernst Noether (7 October 1884 – 10 September 1941) was a Jewish German mathematician.  His father was the mathematician Max Noether and his elder sister was the mathematician Emmy Noether.

Fritz Noether's father Max Noether was professor of mathematics at the University of Erlangen. Starting in 1904, Fritz studied mathematics in Erlangen and then in Munich, where he obtained his doctorate in 1909 with a dissertation about rolling movements of a sphere on surfaces of rotation, written under the direction of Aurel Voss. He obtained his habilitation in 1911 at the Technische Hochschule Karlsruhe.

He married in 1911 and had two children: Herman D. Noether, born 1912 who became a chemist, and Gottfried E. Noether, born 1915 who became an American statistician and educator, and later wrote a brief biography of his father.

Noether served in World War I, was wounded, and received the Iron Cross. From 1922 to 1933 he was professor of mathematics at the Technische Universität Breslau (now Wrocław University of Science and Technology).

Not allowed to work in Nazi Germany for being a Jew, he emigrated in 1934 to the Soviet Union, while his sister Emmy emigrated to the United States. Fritz was appointed to a professorship at the Tomsk State University. His son Gottfried studied mathematics in Tomsk.

In November 1937, during the Great Purge, he was arrested at his home in Tomsk by the NKVD. Albert Einstein wrote a letter on his behalf to Soviet foreign minister Maxim Litvinov, without success. On 23 October 1938, Noether was sentenced to 25 years of imprisonment on charges of espionage and sabotage. He served time in various prisons.

As was revealed much later, on 8 September 1941, less than three months after the German invasion of the Soviet Union, the Military Collegium of the USSR Supreme Court sentenced Noether to death on the accusation of "anti-Soviet propaganda". He was shot in Oryol on 10 September 1941 during the Medvedev Forest massacre. His burial place is unknown, but there is a memorial plaque in the Gengenbach Cemetery, Germany, at the site of his wife's grave.

On 22 Dec 1988, the Plenum of the USSR Supreme Court ruled that Noether had been convicted on groundless charges and voided his sentence, thus fully rehabilitating him. *Wik

Fritz and Emmy Noether



1946 John Carruthers Beattie (21 Nov 1866, 10 Sept 1946) graduated from Edinburgh University and studied at Munich, Vienna, Berlin and Glasgow. He became Professor of Applied Mathematics and Experimental Physics at the University of Cape Town and was later Vice Chancellor and Principal of the University. He was knighted in 1920. *SAU



1948 Walther Mayer (11 March 1887 – 10 September 1948) was an Austrian mathematician, born in Graz, Austria-Hungary.  With Leopold Vietoris he is the namesake of the Mayer–Vietoris sequence in topology. He served as an assistant to Albert Einstein, and was nicknamed "Einstein's calculator".




1956 Robert Julius Trumpler (2 Oct 1886, 10 Sep 1956) Swiss-American astronomer who moved to the US in 1915 and worked at the Lick Observatory. In 1922, by observing a solar eclipse, he was able to confirm Einstein's theory of relativity. He made extensive studies of galactic star clusters, and demonstrated (1930) the presence throughout the galactic plane of a tenuous haze of interstellar material that absorbs light generally that dims and reddens the light from of distant clusters. The presence of this obscuring haze revealed how the size of spiral galaxies had been over-estimated. Whereas Harlow Shapley, in 1918, determined the distance to the centre of the Milky Way to be 50,000 light-years away, Trumpler's work reduced this to 30,000 light-years.*TIS



1966 Emil Julius Gumbel (18 July 1891, in Munich – 10 September 1966, in New York City) was an American mathematician and statistician is known for his work in reliability theory and order statistics. His name remains on the Type 1 extreme value distribution, known as the Gumbel distribution. In his early life, during WW I, he militantly advocated for pacifism. Gumbel acted as a historian and statistician recording the political murders in the early Weimar Republic. His activities caused ostracization and political harassment. When he moved to France (1932), he could better concentrate on his mathematical work, most notably examining the statistical distributions most used by actuaries. He also applied his skills in the fields of hydrology (floods) and meteorology (drought). Eight years later, due to WW II, he moved to the U.S. (1940) and continue this work. *TiS

One of the most remarkable stories about Emil Julius Gumbel (1891–1966) is that he used statistics not to study nature or business—but to expose political murder.

Gumbel was a German mathematician and statistician, but after the First World War he became convinced that the greatest danger to the new Weimar Republic came from political violence by right-wing paramilitary groups. Rather than writing emotional polemics, he did something very unusual: he counted.

He painstakingly collected every political assassination he could document in Germany between 1919 and 1922. His analysis revealed a startling imbalance. He found that approximately 354 murders had been committed by right-wing extremists, while only about 22 were attributed to left-wing extremists. Yet the judicial response was almost the reverse of what one would expect.

According to Gumbel's tabulation:

The right-wing murderers received only one life sentence and a total of about 90 years of prison sentences altogether.

The left-wing killers received 10 death sentences, three life sentences, and roughly 250 years of imprisonment.

His point was not merely that the numbers differed, but that the courts themselves appeared politically biased. Today this might seem like an example of data journalism or evidence-based public policy, but in the early 1920s it was an extraordinarily novel way to intervene in public debate.

The reaction was fierce.

Nationalists branded him a traitor. University students organized demonstrations against him. Newspapers attacked him relentlessly. Even many colleagues wished he would keep politics separate from mathematics.

When Gumbel later became a professor at Heidelberg University, protests erupted almost immediately. Right-wing students disrupted his lectures, burned his books, and demanded his dismissal. In 1932, before Hitler even came to power, the Baden government suspended him under political pressure.

When the Nazis took power in 1933, Gumbel—who was both Jewish and a prominent pacifist—was among the first academics stripped of his position. He escaped Germany, eventually settling in the United States, where he joined Columbia University.

Ironically, the work for which mathematicians remember him today has almost nothing to do with political murders. While in exile he became one of the founders of extreme value statistics, developing what is now called the Gumbel distribution, which models maxima such as:

annual floods,

extreme rainfall,

strongest wind speeds,

engineering failure loads,

and other rare events.

So there is an unusual symmetry to his life. He first became famous by analyzing the extremes of political violence and later became famous mathematically for developing the theory of extreme values.*ChatGPT





1975 Sir George Paget Thomson (3 May 1892, 10 Sep 1975)English physicist who shared (with Clinton J. Davisson of the U.S.) the Nobel Prize for Physics in 1937 for demonstrating that electrons undergo diffraction, a behavior peculiar to waves that is widely exploited in determining the atomic structure of solids and liquids. He was the son of Sir J.J. Thomson who discovered the electron as a particle.*TIS




1983 Felix Bloch (23 Oct 1905, 10 Sep 1983)Swiss-born American physicist who shared (with independent discoverer, E.M. Purcell) the Nobel Prize for Physics in 1952 for developing the nuclear magnetic resonance (NMR) method of measuring the magnetic field of atomic nuclei. He obtained his PhD under Werner Heisenberg in 1928, then taught briefly in Germany, but as a Jew, when Hitler came to power, he left Europe for the USA. Bloch's concept of magnetic neutron polarization (1934) enabled him, in conjunction with L. Alvarez, to measure the neutron's magnetic moment. During WW II he worked on the atomic bomb. Thereafter, Bloch and co-workers developed NMR, now widely used technique in chemistry, biochemistry, and medicine. In 1954 he became the first director of CERN. *TIS



1985 Ernest Julius Öpik (23 Oct 1893, 10 Sep 1985) Estonian astronomer best known for his studies of meteors and meteorites, and whose life work was devoted to understanding the structure and evolution of the cosmos. When Soviet occupation of Estonia was imminent, he moved to Hamburg, then to Armagh Observatory, Northern Ireland (1948-81). Among his many pioneering discoveries were: (1) the first computation of the density of a degenerate body, namely the white dwarf 40 Eri B, in 1915; (2) the first accurate determination of the distance of an extragalactic object (Andromeda Nebula) in 1922; (3) the prediction of the existence of a cloud of cometary bodies encircling the Solar System (1932), later known as the ``Oort Cloud''; (4) the first composite theoretical models of dwarf stars like the Sun which showed how they evolve into giants (1938); (5) a new theory of the origin of the Ice Ages (1952).*TIS



2005 Sir Hermann Bondi (1 Nov 1919, 10 Sep 2005) Austrian-born British mathematician and cosmologist who, with Fred Hoyle and Thomas Gold, formulated the steady-state theory of the universe (1948). Their theory addressed a crucial problem: "How do the stars continually recede without disappearing altogether?" Their explanation was that the universe is ever-expanding, without a beginning and without an end. Further, they said, since the universe must be expanding, new matter must be continually created in order to keep the density constant, by the interchange of matter and energy. The theory was eclipsed in 1965, when Arno Penzias and Robert Wilson discovered a radiation background in microwaves giving convincing support to the "big bang" theory of creation now accepted.*TIS



2014  Edward Nelson (May 4, 1932 – September 10, 2014) was an American mathematician. He was professor in the Mathematics Department at Princeton University. He was known for his work on mathematical physics and mathematical logic. In mathematical logic, he was noted especially for his internal set theory, and views on ultrafinitism and the consistency of arithmetic. In philosophy of mathematics he advocated the view of formalism rather than platonism or intuitionism. He also wrote on the relationship between religion and mathematics.

Edward Nelson was born in Decatur, Georgia, in 1932. He spent his early childhood in Rome where his father worked for the Italian YMCA. At the advent of World War II, Nelson moved with his mother to New York City, where he attended high school at the Bronx High School of Science. His father, who spoke fluent Russian, stayed in St. Petersburg in connection with issues related to prisoners of war. After the war, his family returned to Italy and he attended the Liceo Scientifico Giovanni Verga in Rome.

He received his Ph.D. in 1955 from the University of Chicago, where he worked with Irving Segal. He was a member of the Institute for Advanced Study from 1956 to 1959. He held a position at Princeton University starting in 1959, attaining the rank of professor there in 1964 and retiring in 2013.

In 1950, Nelson formulated a popular variant of the four color problem: What is the chromatic number, denoted 𝜒{\displaystyle \chi }, of the plane? In more detail, what is the smallest number of colors sufficient for coloring the points of the Euclidean plane such that no two points of the same color are unit distance apart? We know by simple arguments that 4 ≤ χ ≤ 7. The problem was introduced to a wide mathematical audience by Martin Gardner in his October 1960 Mathematical Games column. The chromatic number problem, also now known as the Hadwiger–Nelson problem, was a favorite of Paul Erdős, who mentioned it frequently in his problems lectures. In 2018, Aubrey de Grey showed that χ ≥ 5.




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

Tuesday, 8 September 2026

On This Day in Math - September 9

 



There are in this world optimists who feel that any symbol that starts off with an integral sign must necessarily denote something that will have every property that they should like an integral to possess. This of course is quite annoying to us rigorous mathematicians; what is even more annoying is that by doing so they often come up with the right answer.
~McShane, E. J.


The 252nd day of the year; 252 is the smallest number which is the product of two distinct numbers that are reverses of each other: 252 = 12*21 *Number Gossip (notice that it is equal to itself reversed).
(and the next would be?)

252 is a palindrome in base ten, and also in base five 20025 (How many three digit numbers are (non-trivial) palindromes in base ten and one other base less than ten)

If you flip a coin 10 times in a row, there are exactly 252 ways in which it can turn out that you get exactly 5 heads and 5 tails. That is, \( 252 = \binom{10}{5} = \frac{10*9*8*7*6}{5*4*3*2*1} \)



EVENTS
1508 What was probably the first Dutch language arithmetic was published in Brussels by Thomas van der Noot. The Way to Learn to Reckon According to the Right Art of Algorismi, in whole and broken numbers. In 1537 much of the book would be copied into English to become the earliest known arithmetic in that language,* An Introduction for to learne to reckon with the pen or with the counters. John Herford published the book at his presses in St. Albens. After introducing the terms numerator and denominator, he reverts to the Dutch terms "teller" (counter)  and and used number in place of "noemer" (noemer rekenkunde is the more complete term, I think. any help?) ; both terms of which are/were, at the least, unusual in English. *P. Bockstaele, Notes on the First Arithmetics Printed in Dutch and English, Isis 51(1960) pg 315
An alternative :The earliest known arithmetic book written in English is The Craft of Nombryng, dating from around circa 1350. It is a Middle English translation and adaptation of earlier Latin works, most notably those derived from the 13th-century writings of Johannes de Sacrobosco and other medieval sources.
 It survives in manuscript form (e.g., British Library MS Egerton 2622) and covers basic arithmetic operations such as addition, subtraction, multiplication, and division using Hindu-Arabic numerals.
Written in Middle English, it represents one of the first attempts to bring mathematical instruction to English speakers who were not fluent in Latin.*PBnotes

Van der Noot is also credited with writing and publishing the first cookbook in Dutch.


At Thrift Books website  I found an add for a copy of Herford's arithmetic with more detail about the history of the first(?) English arithmetic:
"This book is a facsimile of the second edition of the earliest printed work in English entirely devoted to Arithmetic. The author is unknown, although the book comprises a compilation of material from two other works, one Dutch and one French, translated into English and with the addition of some new material. It was imprinted in Aldersgate Street, London by Nicolas Bourman in 1539. The first edition was produced two years earlier by John Herford, whose press was located in the abbey of St Albans and who printed under the patronage of the abbot, Richard Boreman. It was long thought that no copies of the first edition were extant, with the exception of a small fragment in the British Library. However, in 2005 a complete text turned up at a Sotheby's auction in New Bond Street, London. This rare survivor sold under the hammer to the British Library for the staggering sum of 97,500 GBP. Among the problems posed in An Introduction is the "rule and question of a catte". This concerns a cat which climbs a 300 foot high tree, ascending 17 feet each day but descending again 12 feet each night. The problem to be solved is - how long does the cat take to reach the top? The answer given is 60 days, which of course is quite wrong. Another problem concerns "The rule and question of zaracins, for to cast them within the see". Given that on a sinking ship there are thirty merchants, 15 of whom are Christian and the other 15 Saracens, half of whom must be thrown overboard to save the ship, how should they be ordered so that counting off by nines will always result in a Saracen being sacrificed and never a Christian? Not a problem that fits easily with current ideas about political correctness. Then there is "a dronkart who drynketh a barell of bere in 14 days", but "when his wife drinketh with him" they empty it in 10 days How quickly, the reader is asked, could his wife drink it alone? These are just a few of the beguiling puzzles set within the pages of this fascinating book. "


1699 Advertisement for Mathematical training, with lodging from London Paper,


*Flying Post (London, England), September 9, 1699 - September 12, 1699; Issue 677.


1713 The St. Petersburg Paradox is born?: Nicolas Bernoulli to Montmort. Basel, 9 September, 1713.
Printed in Essay d'Analysis, p. 402
THE FOURTH PROBLEM SAID: A promises to give an écu to B, if with an ordinary die he achieves 6 points on the first throw, two écus if he achieves 6 on the second throw, 3 écus if he achieves this point on the third throw, 4 écus if he achieves it on the fourth and thus consecutively; one asks what is the expectation of B? Fifth Problem. One asks the same thing if A promises to B to give him some écus in this progression 1, 2, 4, 8, 16 etc. or 1, 3, 9, 27 etc. or 1, 4, 9, 16, 25 etc. or 1, 8, 27, 64 instead of 1, 2, 3, 4, 5 etc. as beforehand. Although for the most part these problems are not difficult, you will find however something most curious.
*VFR
The St. Petersburg Paradox is based on a simple coin flip game with an infinite expected winnings. The paradox arises by the fact that no rational human would risk a large finite amount to play the game, even though the expected value implies that a rational person should risk any finite amount to play it.




1751 Euler presents his famous “Gem”; Vertices + Faces -2 = Edges in two papers Euler presented several results relating the number of plane angles of a solid to the number of faces, edges, and vertices (he referred to “solid angles”). Euler also classified polyhedra by the number of solid angles they had. According to C. G. J. Jacobi, a treatise with this title was read to the Berlin Academy on November 26, 1750. The proofs were contained in a second paper. According to C. G. J. Jacobi, it might have been read to the Berlin Academy on September 9, 1751. According to the records there, it was presented to the St. Petersburg Academy on April 6, 1752.*VFR
I highly recommend Dave Richeson's wonderful Euler's Gem for any teacher or student.



In 1839, John Herschel made the first (remaining) photograph on glass plate. The image he captured was of the 40-foot, 48" aperture telescope used by his father William Herschel, in Slough, England. It had sat decades without use, and was dismantled a short time later. Twenty years earlier, in 1819, Herschel published the results of his experiments with silver and salts. A chance comment about Daguerre's experiments in a letter to his wife on 22 Jan 1839 from a friend prompted John into new activity, and within a few days, he had prepared some photographs. In papers he published in 1840-42, he coined the new words "emulsion", "positive" and "negative" and reinforced Stenger's earlier introduction of the word "photography."*TIS





1892 Jupiter's moon Amalthea was discovered by E.E. Barnard. It was the last moon discovered by observation. *David Dickinson ‏@Astroguyz
He found it using the 36 inch (91 cm) refractor telescope at Lick Observatory. It was the first new satellite of Jupiter since Galileo Galilei's discovery of the Galilean satellites in 1610 *Wik
Amalthea or Amaltheia was the nurse of Zeus during his infancy.  It was the last natural satellite to be discovered by direct visual observation; all later moons were discovered by photographic or digital imaging. *Wik *PBnotes





1945 First computer “bug” logged at 1545 hrs. Grace Hopper was running the computer at the time and there was a failure. When she investigated she found that a moth had gotten into the machinery and caused the problem. She removed it and taped it into the log book of the computer. Thus a bit of computer jargon was born. *VFR (the term "bug" in the meaning of technical error dates back at least to 1878 and Thomas Edison , and "debugging" seems to have been used as a term in aeronautics before entering the world of computers. Indeed, in an interview Grace Hopper remarked that she was not coining the term. The moth fit the already existing terminology, so it was saved.)


1967 The Soviet Union issued a postage stamp showing checker players with part of a board in the background. Although more than 50 stamps have been issued on chess, this was the first on checkers. [Journal of Recreational Mathematics, 2(1969), 50] *VFR That same year, Andris Andreiko challenged world champion Iser Koeperman for the checkers World Champion Title but Koeperman successfully retained his title. As a result of this competition between the two Soviet contenders, the Russian government issued postage stamps as commemorative of the World Title match.*CheckersChest.com



1974 "1974 Albert Ghiorso & Glenn T. Seaborg announced the discovery of seaborgium" * chemheritage@ChemHeritage Seaborgium is the first element to be named after a person who was alive when the name was announced. The second element to be so named is oganesson, in 2016, after Yuri Oganessian.
 He influenced the naming of so many elements that with the announcement of seaborgium, it was noted in Discover magazine's review of the year in science that he could receive a letter addressed in chemical elements: seaborgium, lawrencium (for the Lawrence Berkeley Laboratory where he worked), berkelium, californium, americium. *Wik

Seaborg in 1964, *Wik


In 2000, the hole in the ozone layer over Antarctica stretched over a populated city for the first time, after ballooning to a new record size. For two days, Sept. 9-10, the hole extended over the southern Chile city of Punta Arenas, exposing residents to very high levels of ultra violet radiation. Too much UV radiation can cause skin cancer and destroy tiny plants at the beginning of the food chain. Previously, the hole had only opened over Antarctica and the surrounding ocean. Data from the U.S. space agency NASA showed the hole covered 11.4 million square miles - an area more than three times the size of the United States. *TIS
Image:   The top image shows the average total column ozone values over Antarctica for September 2000. In October, however (bottom image), the hole shrank dramatically, much more quickly than usual. By the end of October, the hole was only one-third of it’s previous size. 






BIRTHS

1737 "Luigi Galvani, (9 September 1737 – 4 December 1798)) was an Italian physician. In the 1770s, Galvani, a professor at Bologna, began experimenting with electricity, searching in particular for electrical effects in living tissue. For a tissue source, he settled on frogs, or portions of frogs, and Galvani found that when an electrical generator was operating nearby, or there was an electrical storm, frog torsos with metallic hooks inserted into their spines would twitch. The big surprise came when he inserted a brass hook into a frog trunk and then laid the frog on an iron grate. As soon as the brass touched the iron, the legs contracted violently, and continued to do so whenever the brass hook touched the iron grate. Galvani had, unknowingly, invented a battery, which is nothing more than two different metals separated by a liquid electrolyte (like frog flesh). But Galvani didn't see it that way--he thought he had discovered a new kind of electricity, animal electricity, that was produced only by living things. It was Alessandro Volta who figured out what was going on with the frogs, and who in 1800 made a battery with copper and zinc and salt water--and no frog."  *Linda Hall org

*Wik


1789 William Cranch Bond (9 Sep 1789; 29 Jan 1859)American astronomer who, with his son, George Phillips Bond (1825-65), discovered Hyperion, the eighth satellite of Saturn, and an inner ring called Ring C, or the Crepe Ring. While W.C. Bond was a young clockmaker in Boston, he spent his free time in the amateur observatory he built in part of his home. In 1815 he was sent by Harvard College to Europe to visit existing observatories and gather data preliminary to the building of an observatory at Harvard. In 1839 the observatory was founded. He supervised its construction, then became its first director. Together with his son he developed the chronograph for automatically recording the position of stars. They also took some of the first recognizable photographs of celestial objects.*TIS  
Hyperion is distinguished by its irregular shape, its chaotic rotation, and its unexplained sponge-like appearance. It was the first non-round moon to be discovered.



1852 John Henry Poynting (9 Sep 1852; 30 Mar 1914)British physicist who introduced a theorem (1884-85) that assigns a value to the rate of flow of electromagnetic energy known as the Poynting vector, introduced in his paper On the Transfer of Energy in the Electromagnetic Field (1884). In this he showed that the flow of energy at a point can be expressed by a simple formula in terms of the electric and magnetic forces at that point. He determined the mean density of the Earth (1891) and made a determination of the gravitational constant (1893) using accurate torsion balances. He was also the first to suggest, in 1903, the existence of the effect of radiation from the Sun that causes smaller particles in orbit about the Sun to spiral close and eventually plunge in.*TIS



1860 Frank Morley (September 9, 1860 – October 17, 1937) wrote mainly on geometry but also on algebra.*SAU Morley is remembered most today for a singular theorem which bears his name in recreational
literature. Simply stated, Morley's Theorem says that if the angles at the vertices of any triangle (A, B, and C in the figure) are trisected, then the points where the trisectors from adjacent vertices intersect (D, E, and F) will form an equilateral triangle.
In 1899 he observed the relationship described above, but could find no proof. It spread from discussions with his friends to become an item of mathematical gossip. Finally in 1909 a trigonometric solution was discovered by M. Satyanarayana. Later an elementary proof was developed. Today the preferred proof is to begin with the result and work backward. Start with an equilateral triangle and show that the vertices are the intersection of the trisectors of a triangle with any given set of angles. For those interested in seeing the proof, check Coxeter's Introduction to Geometry, Vol 2, pages 24-25.  Find more about this unusual man here.



1908 Mary Golda Ross (August 9, 1908 – April 29, 2008) was the first known Native American female engineer, and the first female engineer in the history of Lockheed. She was one of the 40 founding engineers of the renowned and highly secretive Skunk Works project at Lockheed Corporation. She worked at Lockheed from 1942 until her retirement in 1973, where she was best remembered for her work on aerospace design – including the Agena Rocket program – as well as numerous "design concepts for interplanetary space travel, crewed and uncrewed Earth-orbiting flights, the earliest studies of orbiting satellites for both defense and civilian purposes." In 2018, she was chosen to be depicted on the 2019 Native American $1 Coin by the U.S. Mint celebrating American Indians in the space program. *Wik


1910 Bjorn Kjellstrom (9 Sep 1910; 2 Sep 1995) Swedish inventor of the Silva compass which featured a rotating compass dial, and a transparent protractor base plate. As founder of Silva, Inc. in North America, Kjellstrom helped introduce the orienteering sport to the U.S. in the 1940s, in part as a way to promote his product. He wrote "Be Expert with Map and Compass", considered to be the "bible of orienteering." *TIS



1914 Marjorie Lee Browne (September 9, 1914 – October 19, 1979) was a notable mathematics educator, the second African-American woman to receive a doctoral degree in the U.S., and one of the first black women to receive a doctorate in mathematics in the U.S. Browne's work on classical groups demonstrated simple proofs of important topological properties of and relations between classical groups. Her work in general focused on linear and matrix algebra.
Browne saw the importance of computer science early on, writing a $60,000 grant to IBM to bring a computer to NCCU in 1960 -- one of the first computers in academic computing, and probably the first at a historically black school.
Throughout her career, Browne worked to help gifted mathematics students, educating them and offering them financial support to pursue higher education. Notable students included Joseph Battle, William Fletcher, Asamoah Nkwanta, and Nathan Simms. She established summer institutes to provide continuing education in mathematics for high school teachers.*Wik



1941 Dennis MacAlistair Ritchie (September 9, 1941; found dead October 12, 2011), was an American computer scientist who "helped shape the digital era." He created the C programming language and, with long-time colleague Ken Thompson, the UNIX operating system. Ritchie and Thompson received the Turing Award from the ACM in 1983, the Hamming Medal from the IEEE in 1990 and the National Medal of Technology from President Clinton in 1999. Ritchie was the head of Lucent Technologies System Software Research Department when he retired in 2007. He was the 'R' in K&R C and commonly known by his username dmr. *Wik





DEATHS

1883 Victor Alexandre Puiseux  ​ 
(16 April 1820, 9 September 1883) was a French mathematician and astronomer. Puiseux series are named after him, as is in part the Bertrand–Diquet–Puiseux theorem. Excelling in mathematical analysis, he introduced new methods in his account of algebraic functions, and by his contributions to celestial mechanics advanced knowledge in that direction. In 1871, he was unanimously elected to the French Academy.*Wik He worked on elliptic functions and studied computational methods in astronomy.*SAU



1819 Jean Claude Bouquet (7 Sept 1819 , 9 Sept 1885) was a French mathematician who worked on differential geometry and on series expansions of functions and elliptic functions. 

He worked with Charles Briot on doubly periodic functions.  Bouquet became friends with Briot at the Lycée and wanted to become a mathematics teacher.

Appointed an associate for the mathematics classes at colleges on September 16. 1842, he was immediately appointed to replace the elementary mathematics teacher at the Royal College of Marseille. In 1843, he obtained a PhD in Mathematical Sciences with a master thesis on variation of double integrals. In October 1845, at the age of 26, he became professor of pure mathematics at the Faculty of Sciences of Lyon

Bouquet was a respected teacher as well as researcher. It was rare for collaborative joint research papers such as those that Bouquet completed. His student, Jules Tannery, praised him highly as a teacher.*Wik



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




2000 Herbert Friedman (21 Jun 1916, 9 Sep 2000)American astronomer who made made seminal contributions to the study of solar radiation. He joined the Naval Research Laboratory in 1940 and developed defense-related radiation detection devices during WW II. In 1949, he obtained the first scientific proof that X rays emanate from the sun. When he directed the firing into space of a V-2 rocket carrying a detecting instrument. Through rocket astronomy, he also produced the first ultraviolet map of celestial bodies, and gathered information for the theory that stars are being continuously formed, on space radiation affecting Earth and on the nature of gases in space. He also made fundamental advances in the application of x rays to material analysis. *TIS



1915  José Luis Massera (Genoa, Italy, June 8, 1915 – Montevideo, September 9, 2002) was a Uruguayan dissident and mathematician who researched the stability of differential equations.

Massera's lemma is named after him. He published over 40 papers during 1940–1970. A militant Communist, he was a political prisoner during 1975–1984. In the 1930s, Julio Rey Pastor gave regular weekend lectures on topology in Montevideo to a group that included Massera. Stimulated by contact with Argentine mathematics, the 1950s saw Uruguay develop a fine school in mathematics, of which Massera was very much a part.

Massera developed new notions of stability, and published several foundational papers and an influential textbook. His results in (Massera 1950) on periodic differential equations have been heavily cited and are referred to as Massera's theorem. His work in (Massera 1949) and (Massera 1956) on the converse to Lyapunov's criterion is also influential, and contain the well known Massera's lemma. His textbook (Massera & Schäffer 1966) is also heavily cited.

After military intervention in Uruguay in 1973, Massera was arrested on October 22, 1975 in Montevideo and was held in solitary confinement for nearly a year. During this time he was subjected to repeated torture resulting in injuries including a fractured pelvis. In October 1976 he was taken from solitary confinement, tried and convicted for "subversive association", and given a 24-year prison sentence. On June 22, 1979, as a consequence of a proposal put forward by Gaetano Fichera and unanimously approved by the whole Mathematics Faculty Council of the Sapienza University of Rome, he was awarded the laurea honoris causa while still being under conviction. He was released in 1984. *Wik 
During his youth a revolution began in Uruguay he began looking up words in his fathers massive dictionary.  Looking up "equation" he found dozens of different types of equations and began to explore, and finding other terms in thos definition expanded his search.  On a trip with his father he found a huge bookstore in Paris and his father bought him a classical geometry book and a trigonometry which he "devoured in a short time."





2003 Edward Teller(15 Jan 1908, 9 Sep 2003) Hungarian-born American nuclear physicist who participated in the production of the first atomic bomb (1945) and who led the development of the world's first thermonuclear weapon, the hydrogen bomb. After studying in Germany he left in 1933, going first to London and then to Washington, DC. He worked on the first atomic reactor, and later working on the first fission bombs during WW II at Los Alamos. Subsequently, he made a significant contribution to the development of the fusion bomb. His work led to the detonation of the first hydrogen bomb (1952). He is sometimes known as "the father of the H-bomb." Teller's unfavorable evidence in the Robert Oppenheimer security-clearance hearing lost him some respect amongst scientists*TIS



2014 Samuel Carlos Gitler Hammer (July 14, 1933 – September 9, 2014) was a Mexican mathematician. He was an expert in Yang–Mills theory and is known for the Brown–Gitler spectrum.

Born to a Jewish family in Mexico City, Gitler traveled to San Antonio to attend Jr High school for a year and one-half, then went on to Escuela Nacional Preparatoria He studied civil engineering at the National Autonomous University of Mexico, graduating in 1956. He then did his graduate studies in mathematics at Princeton University with Norman Steenrod, earning a doctorate in 1960. He taught briefly at Brandeis University and then returned to Mexico, where he was one of the founders of the mathematics department of CINVESTAV.

Gitler was president of the Mexican Mathematical Society from 1967 to 1969, and chair at CINVESTAV from 1973 to 1981. In the late 1980s he moved to the University of Rochester, where he chaired the mathematics department. After retiring from Rochester in 2000, he returned to CINVESTAV.

Gitler was president of the Mexican Mathematical Society from 1967 to 1969, and chair at CINVESTAV from 1973 to 1981. In the late 1980s he moved to the University of Rochester, where he chaired the mathematics department. After retiring from Rochester in 2000, he returned to CINVESTAV.

Gitler won Mexico's National Prize for Science in 1976. In 1986 he became a member of the Colegio Nacional. In 2012 he became a fellow of the American Mathematical Society. *Wik
 & *PBnotes



2015 Julián Adem Chahín ( Tuxpan , Veracruz , January 8, 1924 – September 9, 2015) was a Mexican civil engineer , mathematician , geophysicist , researcher , professor , and academic of Lebanese descent . He worked on the investigation of a thermodynamic model of climate, through which the annual seasonal temperature can be calculated.

He was the son of Jorge Adem and Almas Chahín, Lebanese immigrants, brother of mathematician José Adem , and father of mathematician Alejandro Adem . In 1943, he moved to Mexico City and entered the National School of Engineers at the National Autonomous University of Mexico (UNAM), where he earned a degree in civil engineering in 1948. Concurrently, from 1945 to 1950, he pursued a degree in mathematics at the Faculty of Sciences of the same university.

From 1951 to 1953 he pursued a PhD in Applied Mathematics at Brown University in Providence, Rhode Island , and from 1955 to 1956 he conducted studies in Atmospheric Sciences at the International Meteorological Institute of Stockholm University in Sweden .

He was a professor of Mathematics and Mechanics at the National School of Engineers from 1948 to 1950, and full professor in the Faculty of Sciences from 1954 to 1955, from 1957 to 1965, and has continued in that position since 1971.


He was the founder of the Center for Atmospheric Sciences, which he directed in 1977 and from 1984 to 1993, as well as the founder of the Mexican Geophysical Union, which he directed from 1960 to 1977. He was a Level III research member of the National System of Researchers , and a member of the Science Advisory Council of the Presidency of the Republic .

He was a research associate at the International Meteorological Institute of Stockholm University in 1955 and 1956, at the La Jolla Oceanographic Institution in California in 1958, at the U.S. National Weather Service in 1963, and at the Extended Forecast Division of the National Weather Service ( NOAA ) from 1965 to 1971. He was a member of the Hurricane and Tropical Meteorology Committee of the American Meteorological Society from 1972 to 1975. He was the representative of the International Union of Geodesy and Geophysics to the Scientific Committee on Environmental Problems (SCOPE) and a consultant to the United Nations Environment Programme (UNEP) from 1975 to 1977. He was a research associate at the Lamont-Doherty Earth Observatory of Columbia University from 1979 to 1987. From 1985 he was honorary president of the Mexican Geophysical Union. 

His research includes the thermodynamic climate model known as the Adem Model —published in 1962 by the journal Tellus—as well as his research on monthly and seasonal ocean temperature prediction. He has conducted studies on the climatic effects of increased CO2, considering variations in the solar constant. He has also developed a numerical simulation of past and future climates. *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