Questions tagged [reference-request]

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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
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1 answer
163 views

Did Rafael Bombelli write any commentary about his rules for arithmetic involving negative numbers?

Rafael Bombelli was the first European mathematician to write about the laws of arithmetic for negative numbers. On Wikipedia I read that he wrote: “Minus 5 times minus 6 makes plus 30”. I also read ...
Fraser's user avatar
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1 answer
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Height function following Borel

Borel introduces the notion of hauteur (French for 'height') in a note titled Sur l'approximation les uns par les autres des nombres formant un ensemble dénombrable in the Comptes Rendus journal in ...
Sam Sanders's user avatar
5 votes
1 answer
780 views

What were the obstacles that made the discovery of calculus very late?

I wonder What were the obstacles that made the discovery of calculus very late ? Why the discovery of calculus took so long. I know that some of the ideas and techniques of calculus appeared in ...
pie's user avatar
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5 answers
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Why was the development of mathematics very slow between Ancient Greece and Descartes?

I asked this question on MSE here In my studies of mathematics (I am not very good at mathematics, I only studied real analysis, some linear algebra, geometry and calculus ), I noticed that ...
pie's user avatar
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What is Laguerre's definition of the angle via the cross ratio?

I recently read an article which said Cayley showed that affine geometry could be developed from projective geometry after he learnt of Laguerre's definition of the angle using the cross ratio. This ...
Mozibur Ullah's user avatar
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1 answer
91 views

The history of motivations [closed]

Most histories, that I've encountered, of mathematics about the 18th century and onward focus on a chronology of publications, results, definitions, and similar "pure" interests. However, I ...
Addem's user avatar
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4 answers
198 views

Is there a concise but detailed history of electricity?

I have recently become fascinated by the history of electricity. I have researched and come up with the following observations: Static electricity was discovered in early times, by phenomena such as ...
Fraser's user avatar
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0 answers
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Seeking References on the History of Scientific Dissemination

recently read a book on the history of science by academic Tatiana Roque. In it, she discusses how, during the Enlightenment, scientific dissemination was a fundamental assumption. Roque writes that ...
Humberto José Bortolossi's user avatar
8 votes
1 answer
1k views

DeMorgan's commentary on Euclid's Elements

Augustus DeMorgan wrote comments on Euclid's Elements, which capture many of the most important points. Heath quotes them extensively. I cannot find any source for the original: Where can I see ...
SRobertJames's user avatar
1 vote
0 answers
92 views

A collection of the fragments of Eudemus of Rhodes?

I am looking for a complete collection of fragments of Eudemus of Rhodes. He is considered to be the first historian of science. His fragments have given us a glimpse of how Greek mathematics ...
0-1's user avatar
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12 votes
9 answers
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Who are the youngest mathematicians that published an original research article in a peer-reviewed journal?

There is a lot of interesting information about young mathematicians, but I cannot find any information about the youngest mathematician that published an original research article in a peer-reviewed ...
User303131's user avatar
1 vote
0 answers
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Whence Whitehead's essence?

In the article Quine’s New Foundations of The Stanford Encyclopedia of Philosophy (Summer 2019 Edition), Thomas Forster writes: In [1944] Hailperin gave the first of a number of finite ...
Frode Alfson Bjørdal's user avatar
1 vote
1 answer
172 views

Was "potency set" used for power set?

Cross posted at Math Overflow For historical reasons, the English term "power set" in set theory is a translation of the German "Potenzmenge", which is still in use in German ...
Frode Alfson Bjørdal's user avatar
9 votes
1 answer
3k views

Did Newton say: "If I have ever made any valuable discoveries, it has been due more to patient attention, than to any other talent"?

I came across the above quote, and found it quite interesting. However, I struggled to find an actual source. Did Newton truly say this?
bzm3r's user avatar
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4 votes
2 answers
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Reference request: What were the problems of accepting zero, negative numbers, and complex numbers? And how were they solved?

I asked this question on MSE and comments suggested I should ask it here I am currently reading Baby Rudin as my second analysis book (after Introduction to Real Analysis by Robert G. Bartle and ...
pie's user avatar
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Reference request: What were the problems of accepting zero, negative numbers, and complex numbers? And how were they solved? [duplicate]

I didn't know that can happen and since I already asked the question here I don't know what to do with this question should I delete it ? I am currently reading Baby Rudin as my second analysis book (...
pie's user avatar
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2 votes
0 answers
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Who evaluated the surface of the Torricelli solid/Gabriel's horn

The Torricelli solid/Gabriel's Horn is defined as the rotation-invariant solid delimited by a hyperbola. It appears in De solido hyperbolico acuto where Torricelli proves that it has a finite volume, ...
Antoine Chambert-Loir's user avatar
1 vote
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Attributed quote to Nikola Tesla

In many serious engineering and scientific publications including IEEE publications, we see a quote attributed to Nikola Tesla which goes like this If you want to find the secrets of the universe, ...
AChem's user avatar
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3 votes
0 answers
135 views

Is there a comprehensive list of Ancient Greek mathematical writings?

Much of the Ancient Greek's mathematical philosophy texts have survived from antiquity and passed to modern times. Also, texts previously thought to be lost are being occasionally rediscovered (...
0-1's user avatar
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0 answers
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Did the Romans really use the binomial formula to calculate products?

I'm not quite sure if this is the right place to ask this question (in fact, I was redirected to this SE from the Math Stackexchange), but it's probably more fitting than the original posting place. I ...
Cornelius Brand's user avatar
2 votes
0 answers
72 views

History behind Serre's conditions $\mathrm{S}_k$ and $\mathrm{R}_k$ for a commutative Noetherian ring

In 033Q we find defined what some sources call “Serre's conditions $\mathrm{S}_k$ and $\mathrm{R}_k$” (if you don't know what a scheme is, you can read the definition for a commutative Noetherian ring ...
Elías Guisado Villalgordo's user avatar
5 votes
0 answers
165 views

Early illustrations of topological notions in published work

Since I've not gotten any answers after a bit more than a week, I've now cross-posted to MathOverFlow. EDIT 2023-08-15: Several commenters here and at MO have asked me to sharpen the original question....
Sam Nead's user avatar
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6 votes
1 answer
216 views

The Original Title of "Euclid's Elements"

What did Euclid originally call his treatise of thirteen books that we now refer to as "Euclid's Elements" ? Was it "The Elements" ? Was it something else ? Does anyone know the ...
DDS's user avatar
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1 vote
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125 views

Scientific articles discovered false and useless several years after their publication

I am looking for examples of important scientific articles that have been discovered to be false and useless several years after their publication. I mean: they stated something interesting and ...
Marco Disce's user avatar
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0 answers
84 views

Improvement to the classification and labeling in a list of mathematical references

I'm the maintainer of the Hyper-complex number List, I am searching for some help in respect of the categorization, clasification regarding the List. I really like references in the line of the List, ...
Pyra 's user avatar
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0 answers
42 views

Reference explaining the history and motivation behind Heyting algebra?

I'm starting to have an interest in Heyting Algebras and their application in topological spaces. Is there any paper/reference which gives a history based exposition of it's ideas?
tryst with freedom's user avatar
0 votes
2 answers
59 views

What's the name of P C Gilmore?

I have several times come across the name P C Gilmore, and even made use of a publication by her, or him, viz. "The consistency of partial set theory without extensionality", which was ...
Frode Alfson Bjørdal's user avatar
4 votes
2 answers
761 views

Provenance of mathematics quote from Robert Musil, 1913

The quote is as follows: "Nur wenn man nicht auf den Nutzen nach aussen sieht, sondern in der Mathematik selbst auf das Verhältnis der unbenutzten Teile, bemerkt man das andere und eigentliche ...
Frode Alfson Bjørdal's user avatar
1 vote
0 answers
106 views

Early results on the Fourier transform

Published tables of Fourier transform pairs have been available for many years. One such example is the paper by George Campbell in the Bell Systems Technical Journal in 1928. Most such tables simply ...
CrimsonDark's user avatar
8 votes
1 answer
302 views

What research articles were inspired by web comics?

Currently, I'm doing a PhD on the applications of algorithms to generate timelines of textual content. Recently, I found an article entitled StoryFlow: Tracking the Evolution of Stories by S. Liu et ...
Max Muller's user avatar
4 votes
1 answer
232 views

History of visualization in science and math - where may I read of it?

I am looking to inquire into the role of visualization in sciences and math and wish to read about the history of visualization in those fields and also wonder where I might read about the ...
Rumi's user avatar
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3 votes
0 answers
124 views

References on the role of diagrams in scientific advancement

A number of diagrammatic formulations have played an important role in the advancement of science. Some embody representations of physical phenomena, while others model mathematical or logical ideas ...
Max Muller's user avatar
4 votes
1 answer
84 views

Where can I find the early proofs for the simplicity of $\text{PSL}(n,q)$?

I am doing a research project on the history of group theory, and want to know about the early developments on the subject. There are plenty of proofs about why the projective special linear group ...
Void's user avatar
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7 votes
0 answers
166 views

History of group actions as their own structures

I'm interested in when (and how) the modern idea of a group action developed and how group actions became their own algebraic structures. As far as I can tell in the 19th century group actions were ...
paidresolution's user avatar
0 votes
0 answers
93 views

The history and origin of the Argument Principle ( or Cauchy's argument principle)

I am looking for a book that discusses The history and origin of the Argument Principle ( or Cauchy's argument principle) Thanks!
user17825's user avatar
4 votes
0 answers
136 views

Finding the Letter from Freeman Dyson to Gerald Gabrielse in 2006

In 2006, the renowned physicist Freeman Dyson wrote a letter to his colleague Gerald Gabrielse regarding an advance in precision about measuring the magnetic moment of an electron. An excerpt of his ...
Talmsmen's user avatar
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0 votes
0 answers
84 views

Reference Request: History of Chern-Simons Theory

Chern-Simons theory is a topological gauge field theory and play a prominent role in many brnaches of phyiscs and mathematics. On the physical side, it appears for example in three-dimensional ...
B.Hueber's user avatar
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1 vote
1 answer
75 views

Biographical details on Otto Zoll

Zoll's surfaces are a special kind of surfaces generalizing the spheres, in that all of their geodesics are closed and of the same length. I've tried to gather some biographical details on Otto Zoll ...
Nicola Ciccoli's user avatar
2 votes
0 answers
149 views

Zermelo's or Fraenkel's early consideration of something equivalent to countable Replacement

I have now claimed a few times on the internet, based on something (sensible!) I read, that at some point in the 1920s, that Zermelo at one point considered as a set theoretic axiom (schema) something ...
David Roberts's user avatar
3 votes
0 answers
226 views

Who came up with the proof of "Bézout's identity" that uses the well-ordering principle?

Let $a$ and $b$ be two integers not both of which are equal to zero. It is an important and well-known fact that $\text{gcd}(a,b)=ax_{0}+by_{0}$ for some integers $x_{0}$ and $y_{0}$. Even though this ...
José Hdz. Stgo.'s user avatar
7 votes
1 answer
640 views

Fibonacci and straightedge and compass constructions

In "Mathematical Thought from Ancient to Modern Times" Morris Kline claims (on page 209) that Leonardo da Pisa (Fibonacci) "showed that the roots of $x^3+2x^2+10x=20$ are not ...
Frunobulax's user avatar
2 votes
1 answer
127 views

Searching for book about non-Euclidean geometry that recapitulates the First Book of the Elements

I am looking for a specific book on non-Euclidean geometry that I read in my undergraduate years. The unique characteristic of this book is that the first part of the book started by re-proving in ...
ltcomdata's user avatar
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5 votes
0 answers
2k views

Does "Metatron's cube" have a history and a serious name in geometry?

This is a figure that I saw while going down the rabbit hole of "Sacred Geometry" back when conspiracy theories and related nonsense were relatively harmless and fun to laugh at. A book ...
Thomas Anton's user avatar
2 votes
0 answers
123 views

First use of corner quotes for Gödel numbers

Who first used the corner quotes, ⌜ and ⌝, or $\texttt{\Godelnum}$ with Sam Buss's macro, for the notion of Gödel number? Quine introduced corner quotes, but did not use them for the notion of Gödel ...
Frode Alfson Bjørdal's user avatar
29 votes
2 answers
7k views

How did Eratosthenes know the Sun was very far away?

Eratosthenes calculated the radius of the Earth from the difference of the lengths of shadows between Aswan and Alexandria were different (see also here). But this could also happen if the Earth were ...
Rohit Pandey's user avatar
4 votes
1 answer
647 views

Exact source that Descartes had observed that $V-E+F=2$ for planar graphs

In recent literature, I have read that René Descartes had observed that $V-E+F=2$ for planar graphs. Is there any image of that page of book or article of Descartes? Seeing real page that contains the ...
C.F.G's user avatar
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1 vote
0 answers
43 views

Capital letters for classes and small letters for sets

Who first chose to denote classes with capital letters and sets with small letters in set theory?
Lang's user avatar
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4 votes
1 answer
186 views

Reference request: modern assesement of J.H. Lambert's work on the "fluidity of sand"

While reading about different aspects of Johann Heinrich Lambert's life and work, I found many interesting side remarks about Lambert's work by different authors, though it is very hard to find modern ...
user2554's user avatar
  • 4,369
2 votes
1 answer
90 views

History of determining the specific charge of the electron by balacing electric and magnetic forces

Nowadays is a well known high school or undergrad lab experiment to determine the specific electron charge by using a Wien-filter setup as described for example here. Up to now I thought that this ...
Julia's user avatar
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