# Questions tagged [ho.history-overview]

History and philosophy of mathematics, biographies of mathematicians, mathematics education, recreational mathematics, communication of mathematics.

1,040
questions

**3**

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**1**answer

137 views

### Origin of the theorem related to the integral transform pair

The development of Fast Fourier transform is attributed to Cooley & Tukey, both have written a lot about it is historical development. Both Cooley and Tukey call it a re-discovery rather. However,...

**5**

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**0**answers

81 views

### On earlier references for $P=BPP$ and Kolmogorov's possible view on modern breakthroughs involving randomness?

Kolmogorov and Uspenskii in this paper 'http://epubs.siam.org/doi/pdf/10.1137/1132060' speculate $P=BPP$ in $1986$. They do this without getting into circuit lower bounds and from a different view ...

**7**

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**1**answer

429 views

### Origin of the convolution theorem

I am a chemist, with some interest in signal processing. Sometimes, we use the deconvolution process to remove the instruments response from the desired signals. I am looking for the earliest ...

**16**

votes

**1**answer

946 views

### Divergent Series & Continued Fraction (from Gauss' Mathematical Diary)

I've asked that question before on History of Science and Mathematics but haven't received an answer
Does someone have a reference or further explanation on Gau?' entry from May 24, 1796 in his ...

**51**

votes

**3**answers

8k views

### How did Lefschetz do mathematics without hands?

If people think this is the wrong forum for this question, I'll cheerfully take it elsewhere.
But: How did Solomon Lefschetz do mathematics with no hands?
Presumably there was an amanuensis to ...

**7**

votes

**0**answers

247 views

### The meaning of this mysterious remark in Littlewood's Miscellany

In the well known book by Littlewood (Mathematician's Miscellany, or the later edition called Littlewood's Miscellany) there is a remark made in the chapter 'A Mathematical education', the meaning of ...

**4**

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**0**answers

353 views

### Why are algebraic schemes called algebraic?

In scheme theory, an algebraic scheme is the data of a scheme + a morphism of finite type to the spectrum of a field. Where does the term "algebraic scheme" come from? It does not seem intuitive to me ...

**6**

votes

**0**answers

225 views

### Historically, how were Grothendieck topoi motivated?

The question is about how did the person who invented Grothendieck topoi (presumably Grothendieck) arrive at the necessity of a such a notion. I do not know much about the history of the subject. What ...

**4**

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223 views

### Do we know what the impulse to “introduce” the Jordan canonical form was?

Mo-ers,
Do you know how it was that the study of the Jordan canonical form began?
There are certain things that may be said once one has thought about the matter: for instance, one can say that the ...

**59**

votes

**1**answer

9k views

### Why is the Eisenstein ideal paper so great?

I am currently trying to decipher Mazur's Eisenstein ideal paper (not a comment about his clarity, rather about my current abilities). One of the reasons I am doing that is that many people told me ...

**8**

votes

**1**answer

238 views

### History of the notion of $(G,X)$-structure

I'm currently searching for sources and historical basis on the notion of $(G,X)$-structure as it appears in Thurston's work.
So far, it appears that he was the first to set it. Many mathematicans ...

**19**

votes

**2**answers

2k views

### Status of proof by contradiction and excluded middle throughout the history of mathematics?

Occasionally I see the claim, that mathematics was constructive before the rise of formal logic and set theory. I'd like to understand the history better.
When did proofs by contradiction or by ...

**25**

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**8**answers

3k views

### Why not adopt the constructibility axiom $V=L$?

G?delian incompleteness seems to ruin the idea of mathematics offering absolute certainty and objectivity. But G?del‘s proof gives examples of independent statements that are often remarked as having ...

**2**

votes

**1**answer

155 views

### History of algebraic graph theory

I need a source about the history of algebraic graph theory. I mean for solving which problems or responding to what needs it was created?
Indeed, I want to write a note about the history of the ...

**11**

votes

**1**answer

319 views

### Yau's problem: Construct a triangle given a side, an angle, and an angle bisector

In Shing-Tung Yau's autobiography The Shape of a Life, he mentions a problem that he came up with as a teenager.
Suppose you know the length of one side of a triangle, one angle, and the length of ...