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4
votes
1answer
73 views

When did trigonometry start using negative numbers?

I'm asking this question looking at the unit circle, and thinking that greek mathematicians didn't use negative numbers. Maybe that can give enough insight into what I'm asking?
5
votes
1answer
124 views

What were the not-so-convincing reasons for using the word “power” for power sets?

A footnote of Enderton's Elements of Set Theory (1977, page 4) for the definition of power set states that the reasons for using the word "power" in this context are not very convincing, but the ...
2
votes
1answer
32 views

Where did Krull dimension and zero-dimensional ideals come from?

I am trying to comprehend an article about primary decomposition of ideals. Zero - dimensional ideals are quite emphasized there. I wonder where zero - dimensional ideals come from, what is the ...
0
votes
0answers
59 views

Was Euler aware of Lagrangian mechanics?

In the book'The Road to Reality' Penrose claims that Euler was aware of Lagrangian mechanics, is there any evidence that this statement is true?
3
votes
2answers
105 views

What technology did researchers use to write scientific papers before the computer?

As I'm reading a scientific paper from 1964, I'm wondering how researchers were able to write papers without the use of a computer. Cursive fonts, different font sizes, math, etc. are all present in ...
2
votes
0answers
49 views

Any idea on how Lagrange came up with similar functions concept in (proto)group theory?

Lagrange defines "similar functions" as functions of the roots of an equation where they change values only at the same kind of permutations of the roots. What's a possible predecessor of the idea of ...
5
votes
1answer
90 views

When did Dehn start to work on Hilbert's third problem?

According to this wiki article, Dehn solved Hilbert's third problem within a year. Did Dehn start to work on the third problem after Hilbert's talk? Since Dehn is Hilbert's student, they were likely ...
5
votes
4answers
2k views

Are there widely accepted math symbols using non-Latin alphabets or characters other than Greek and Hebrew?

We have $\pi$ and $\aleph_0$ borrowed from Greek and Hebrew alphabets. Are there widely accepted math symbols using non-Latin alphabets or characters other than Greek and Hebrew? A related question ...
3
votes
2answers
94 views

Have orthogonal complex matrices appeared in the literature?

According to https://en.wikipedia.org/wiki/Orthogonal_matrix, https://en.wikipedia.org/wiki/Unitary_matrix, and Friedberg et al.'s Linear Algebra (4th edition), a matrix $A\in F^{n\times n}$ is ...
0
votes
1answer
105 views

Why positive definite matrix rather than positively definite matrix? [duplicate]

"Positive definite matrix" is a standard term in mathematics, espeically linear algebra. Are there grammatical, linguistic, or historical reasons why it was not called "positively definite matrix"?
5
votes
2answers
136 views

Why do we call it a “positive definite matrix” rather than a “positively definite matrix”?

The term positive definite matrix is a standard one used in mathematics, especially in linear algebra. Are there grammatical, linguistic, or historical reasons why it was not called a positively ...
8
votes
1answer
472 views

Historical origin of magnetic monopoles

There are two related historical questions that I'm trying to find answers to: Who was the first to introduce the concept of magnetic monopoles? Griffiths in his textbook Introduction to ...
1
vote
2answers
69 views

Who discovered or predicted an electron g factor of circa 2?

I'm writing a physics article with significant historical content, and I'm struggling to find something. Forgetting about the anomalous magnetic dipole moment for a minute, the electron's g factor is ...