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Correct citation of “The method of successive approximation for functional equations” by L. Kantorovich, Leningrad, 1939?

The citation we get from http://projecteuclid.org/journals/acta-mathematica/volume-71/issue-none/The-method-of-successive-approximation-for-functional-equations/10.1007/BF02547750.full says ...
AlMa1r's user avatar
  • 101
4 votes
1 answer
144 views

Who wrote the equation $c=\lambda\nu$ for the first time?

I could not find who wrote the equation $c=\lambda\nu$ for the first time. Neither I found a name for this equation. A user from Physics forum thinks it is too obvious for anyone familiar with ...
Pierpaolo Testavuota's user avatar
2 votes
1 answer
978 views

What was Pierre-Simon Laplace's reaction to Young's double slit experiment?

Laplace gave the theory of bodies so heavy that they would not let even light escape. This theory needs light to have a mass and hence is compatible with the corpuscular theory. So how did Laplace ...
Parsec's user avatar
  • 23
3 votes
0 answers
102 views

Which scientist had hard time shortening his paper?

A couple of years ago I read an anecdote (amounting to a few sentences, very similar to this very paragraph) about a prominent scientist (most likely a mathematician or a physicist) who submitted a ...
Leon's user avatar
  • 131
1 vote
0 answers
127 views

Are there alternatives functions for the gamma function that was used as generalisation for the factorials?

I asked this question on MSE here $$\Gamma(x)= \int_0^ \infty e^{-t}t^{x-1}dt \ \ \ \ \ x>0. $$ Bohr and Mollerup showed that the gamma function is the only positive function $f$ defined on $...
pie's user avatar
  • 263
1 vote
1 answer
74 views

Which people are considered to be the founders of Projective Geometry?

What were the fundamental principles and ideas of projective geometry that made people consider it groundbreaking and separates it from the rest of the geometry? I would love to learn about a good ...
Nate's user avatar
  • 11
2 votes
0 answers
73 views

Who discovered that the Lanczos method can only calculate extremal eigenvalues of large matrices?

The Lanczos tri-diagonalization process is widely or even routinely used today. It is said that it is useful for obtaining the extremal eigenvalues, but useless for medium eigenvalues. But who ...
poisson's user avatar
  • 417
5 votes
1 answer
118 views

Did the ancients know how to construct a correct klepsydra?

The klepsydra is a water clock consisting of a vessel with a hole at the bottom. The height of the water level is used to measure time. For this level to be proportional to time, the vessel has to ...
Alexandre Eremenko's user avatar
0 votes
1 answer
95 views

Where does Oliver Heaviside fit in the ranks of physicists/mathematicians? [closed]

It seems to me that he was able to reformulate Maxwell's equations in a more understandable form and in fact come up with vector calculus without finishing high school would arguably cause him to be ...
releseabe's user avatar
  • 1,173
0 votes
0 answers
82 views

Which mathematical concepts do not have any obvious origin outside mathematics?

Some mathematical concepts, such as that of number and that of geometrical figure, presumably originate from pre-existing notions already used by at least some non-mathematicians. Others seem to have ...
Speakpigeon's user avatar
1 vote
0 answers
83 views

Origin of Einstein quote "Quantum mechanics: Real Black Magic Calculus"

The description of the 1993 English translation of The Quantum Dice, by Ponomarev and Kurchatov, as well as one of the quotes for chapter 2 of Quantum Computation and Quantum Information, by Nielsen ...
elutionary's user avatar
2 votes
1 answer
89 views

What was the first human gene sequenced/annotated?

The Human Genome Project was famously declared complete in 2003, and to date there are 6000 genes discovered/annotated. What was the first one discovered and annotated?
imrobert's user avatar
  • 195
2 votes
0 answers
37 views

Why are the terms electrophile/nucleophile used? Are they not identical to Lewis acids/bases?

My understanding is that the above pairs of terms are identical in definition, indicating acceptors/donors of an electron pair. So, why are both used?
imrobert's user avatar
  • 195
1 vote
1 answer
127 views

F = ma -- How was did we come to understand that this compact form expressed what Newton said in words?

My understanding is, Newton in the 17th century did not use this formula but rather said, in words basically that if you apply a force it will cause a mass to accelerate in the direction of that force....
releseabe's user avatar
  • 1,173
6 votes
1 answer
1k views

How come there is no portrait of Legendre?

Besides the famous cartoon, of course, there seems to be no portrait of Legendre. Legendre is well regarded nowadays and he was also quite influential at his time, for example, Jacobi and Abel praised ...
Croqueta's user avatar
0 votes
0 answers
55 views

References for converting old units to new units

I am currently looking for references on books that deal with the conversion of old units to new units. I am particularly interested in books that actually have tables of conversion because I need to ...
Lucas Nardi's user avatar
2 votes
0 answers
72 views

Who did introduce homomorphism concept for the first time?

I read that: "The term "homomorphism" appeared as early as 1892, when it was attributed to the German mathematician Felix Klein (1849–1925). Homomorphisms of vector spaces are also ...
Iman Mosleh's user avatar
0 votes
0 answers
37 views

Why did Kronecker say "the integers are the work of God, the rest is the work of man"? [duplicate]

To me, it seems no number is the work of God, they are all concepts of the mind. However, it seems negative numbers are more artificial than the rest of the numbers out there. So why did he describe ...
Demon's user avatar
  • 63
3 votes
1 answer
71 views

When did they start requiring holotypes for species description?

I know they weren't required in the early 1800s but obviously they are now so just wondering when this started being required and/or who coined holotype. Internet research yielded no good answers.
imrobert's user avatar
  • 195
3 votes
1 answer
177 views

How did Gauss determine the number of primes?

In Brian Conrey's article on Riemann's hypothesis, one reads in the very beginning: On Christmas Eve 1849 Gauss wrote a letter to his former student Encke in which he described his thoughts about the ...
Hans-Peter Stricker's user avatar
1 vote
0 answers
174 views

How did Azumaya come up with the Nakayama lemma?

Thanks to Conifold and Chris Leary's comments, I learned that the Nakayama lemma was not first created by a mathematician named Nakayama, but that mathematicians named Azumaya and Krull first created ...
user1274233's user avatar
2 votes
0 answers
62 views

Reference to a comment by Arthur C. Clarke

In one of his non-fiction works, probably "Mysterious World" or "World of Strange Powers", Arthur C. Clarke tells an anecdote about an astronomers' expedition to Africa (if I ...
Igor F.'s user avatar
  • 21
18 votes
1 answer
2k views

Emmy Noether's announcement in 1932 ICM

I read a book "a history of abstract algebra"- chapter 6 by Israel Kleiner. And in this book, it is said that Emmy Noether gave a presentation at the ICM congress held in Zurich in 1932, ...
user1274233's user avatar
2 votes
0 answers
53 views

Did Democritus predict atoms using sharp phase transitions

In the Wikipedia page for the Ising Model it is written without citations: One of Democritus' arguments in support of atomism was that atoms naturally explain the sharp phase boundaries observed in ...
Diana's user avatar
  • 21
0 votes
1 answer
62 views

Is there a resource about integer constructions and motivations?

I have an assignment about the foundations of mathematics. I am trying to compile a list where I get common construction of integers and a small writing about the constructor and their explanation. ...
Fraser James's user avatar
0 votes
0 answers
40 views

References on the history of electromagnetism

I am looking for complete and trustable references on the history of electromagnetism. Does anyone have some good recommendations?
Léo Vacher's user avatar
13 votes
5 answers
5k views

Great battles in the history of mathematics

Could someone list me the most important battles between mathematicians which happened in history, especially such that strong emotions played role in that time? Perhaps the most known one is the ...
Widawensen's user avatar
1 vote
0 answers
47 views

Did Dedekind's construction of the integers and rational numbers become standard in mathematics textbooks?

I am referring to the construction using pairs of natural numbers in 1858. Since we use pretty much the same construction today in some analysis courses (Analysis 1, Terence Tao), except without the ...
Demon's user avatar
  • 63
1 vote
0 answers
30 views

History of Kronecker's Divisorentheorie

I saw André Weil's Weil divisor. So I became curious about the history of the divisor. However, when I searched the history of divisor, I found that Leopold Kronecker announced the beginning of the ...
pokssin's user avatar
  • 309
2 votes
1 answer
349 views

Isn't Descartes' account of refraction wrong?

In his account of refraction, which can be found for example here, Descartes compares it with the motion of a tennis ball. He says that going into a denser medium must reduce the total speed, while ...
thedude's user avatar
  • 121
3 votes
4 answers
151 views

Translated articles of Fatou and Julia

Is there any English translation of the 1918-1920 Memoirs of Fatou and Julia on the iteration of rational functions?
Prelude's user avatar
  • 201
0 votes
1 answer
52 views

The Sun's direction of rotation in the geocentric model [closed]

In what direction does the Sun rotate in the geocentric model? It seems to me that this should rotate in a clockwise direction around Earth (as seen from the north pole), but all the illustrations I'...
Adrien Hingert's user avatar
1 vote
1 answer
168 views

When were negative numbers fully accepted into mathematics?

Dedekind gave a construction and explanation of integers and rational in 1858. This was as ordered pairs of natural numbers. I'm not sure if this was the standard view of these objects after this ...
Demon's user avatar
  • 63
3 votes
0 answers
59 views

What can I read to learn the history of multivariable calculus?

People have been doing calculus of several variables since well before the concepts of vectors, matrices, and linear algebra were formalized. Where can I learn about the development of multivariable ...
Dominic Stewart-Guido's user avatar
2 votes
0 answers
38 views

History of Observational "Nowruz" (Iranian New Year)

The Iranian New Year unlike most other cultural celebrations of our planet completing a trip around the sun is exact and observational, I am curious exactly when the observational nature of the ...
Bertrand Einstein IV's user avatar
0 votes
0 answers
31 views

Did Heinrich Weber have a structural approach to mathematics similar to Dedekind?

So I was reading a History of Mathematics by Katz, and noticed that the first definition of a field came from Weber, who had previously done extensive joint work with Dedekind. His definition was used ...
Demon's user avatar
  • 63
1 vote
1 answer
57 views

Did Dedekind's work directly influence the work of Hilbert?

I am wondering if Dedekind's theory about the structure of deductive science influenced the work of Hilbert. Hilbert obviously favored axioms at the beginnings of a deductive science, whereas Dedekind ...
Demon's user avatar
  • 63
2 votes
1 answer
112 views

History of doubly periodic functions

I am curious about the origin and history of the doubly periodic function. I was looking for the Eisenstein series, and the Eisenstein series is one of the representative examples of a doubly ...
user1274233's user avatar
4 votes
3 answers
284 views

Origin of modern definition of a function as a graph

In the past, I came across a very elegant direct definition (below) of a function, which is based on the fundamental concepts of triples, pairs, and sets. However, I find it difficult to search the ...
Kamil Kiełczewski's user avatar
4 votes
1 answer
187 views

Did the earliest inklings of hyperbolic geometry come from medieval Islamic mathematicians?

This question is a follow-up to How much did the ancient Greeks know of non-Euclidean geometry?, where it was claimed in a comment that "the earliest inklings [of hyperbolic geometry] came from ...
Mikhail Katz's user avatar
  • 6,131
0 votes
0 answers
104 views

How much did the ancient Greeks know of non-Euclidean geometry?

They knew the Earth was a sphere, and Eratosthenes even computed the radius. Menelaus and possibly Hipparchus knew that the angles inside a triangle add to more than $\pi$ on a sphere. Did they have ...
thedude's user avatar
  • 121
4 votes
0 answers
70 views

Sparse matrix ("matrice creuse") etymology in French

I am looking for the etymology of matrice creuse. According to Wikipedia, it seems James Joseph Sylvester used the term "matrix" in 1850, and Harry Markowitz used the term "sparse ...
Fnifni's user avatar
  • 141
3 votes
1 answer
76 views

When was Kelvin's vitalism rejected in physics?

In 1851, in one of the most famous publications in the history of thermodynamics, On the Dynamical Theory of Heat, with numerical remits deduced from Mr JOULE'S equivalent of a Thermal Unit. etc., ...
hyportnex's user avatar
  • 347
26 votes
4 answers
9k views

Did Alan Turing know the German language?

In the film "The Imitation Game" Alan Turing, while being interviewed at Bletchley Park, confesses that he doesn't speak German, which almost makes him fail the interview. I think I read ...
bereal's user avatar
  • 363
0 votes
1 answer
58 views

Earth's and Sun's rotation in the Ptolemaic world

In Ptolemy's geocentric model the Sun travels through the ecliptic and around the Earth once every 24 hours and the Earth does not rotate about its axis. What is Ptolemy referring to when he talks ...
Adrien Hingert's user avatar
4 votes
2 answers
778 views

When and why was the concept of "having a least upper bound" dubbed "completeness", as in Axiom of Completeness?

The Axiom of Completeness states that any non-empty set with an upper bound has a least upper bound. When and why was this concept of least upper bound dubbed "completeness"? It's true, of ...
SRobertJames's user avatar
1 vote
0 answers
39 views

Understanding Ptolemy's Almagest

This is an extract from page 138 of Ptolemy's Almagest (Toomer): [Hipparchus] made a very accurate observation of the autumnal equinox, and says that he calculated that it occurred at midnight, third-...
Adrien Hingert's user avatar
1 vote
0 answers
71 views

What does Dedekind mean by "laws characteristic for the concepts"?

I’m slightly confused by what Dedekind means by “characteristic for the concepts they designate” in the quote below: "But [. . . ] these extensions of definitions no longer allow scope for ...
Jerry's user avatar
  • 11
0 votes
0 answers
50 views

What are the wrong assumptions made in Anagaxoras' model in his calculation of Earth-Sun distance?

The greek mathematician Anaxagoras made an inacurrate evaluation of the distance between the Sun and the Earth. I've been thinking about his work and would like to know what exactly was wrong about ...
niobium's user avatar
  • 123
0 votes
0 answers
31 views

Notation for Propositional values in Church's "Simple Theory of Types"

In Alanzo Church's "A Formulation of the Simple Theory of Types" (The Journal of Symbolic Logic 5 no.2 (1940) 56--68, DOI:10.2307/2266170), he adopts the ...
Alex Nelson's user avatar

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