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

4 votes

A "couple" of questions on Gauss's mathematical diary

I believe I have a reference for Schuhmann: Schuhmann E. 1976 Vicimus GEGAN, Interpretationsvarianten zu einer Tagebuchnotiz von C.F. Gauss, Naturwiss. Tech. Medezin. 13.2, 17-20.
Kristal Cantwell's user avatar
0 votes

Writing papers in pre-LaTeX era?

I used Microsoft Word to write my dissertation. It had Equation Editor which I think I used for mathematical symbols. This was in the early 90's. I was using a Macintosh and I think they had a specifi …
2 votes

Where can I find the text of Weyl's Fields Medal speech for Serre?

From Greg Kuperberg's answer: "If you do a search for the phrase "convinced that Serre" (with quotes) in Google Books, you'll find several books that have the speech: "International Mathematical Congr …
Kristal Cantwell's user avatar
6 votes

What is the origin of the term "spectrum" in mathematics?

Here is a url for "Beiträge zu Riemann’s Integrationsmethode für hyperbolische Differentialgleichungen, und deren Anwendungen auf Schwingungsprobleme" by Wilhelm Wirtinger
Kristal Cantwell's user avatar
2 votes

A place to find original papers

Google books is useful in some cases. I found a couple of full view books about Sophus Lie's original papers including one on Transformation groups: Sophus Lie's 1880 transformation group paper by S …
21 votes

Major mathematical advances past age fifty

Paul Erdős continued to do work in many fields including combinatorics after his 50th birthday. Some of his papers are here
12 votes

Papers that debunk common myths in the history of mathematics

Here is an paper on this subject: Mathematical Myths G. A. Miller National Mathematics Magazine, Vol. 12, No. 8 (May, 1938), pp. 388-392 This is available on jstor
11 votes

William Rowan Hamilton and Algebra as Time

I believe that he may have been influenced by Kant. According to a quote from this website: "Kant maintains that geometry discovers the universal laws of space, and algebra discovers the universal law …
Kristal Cantwell's user avatar
2 votes

Historical question re: ellipses obtained by certain geometrical constructions

I have found the following avaialable on the web http://www.archive.org/details/ahistorygreekma00heatgoog It is the A History of Greek Mathematics (1921) by Thomas Little Heath it has a section d …
Kristal Cantwell's user avatar
21 votes

When have we lost a body of mathematics because errors were found?

There are "Lectures on Lost Mathematics" by B. Grünbaum. They were given at the University of Washington in 1975. The notes are available here
6 votes

Alternative axiom to induction

I found the citation below here 89e:03084 03E20 Swanson, Leonard G. (1-PRLS); Hansen, Rodney T. The equivalence of the multiplication, pigeonhole, induction, and well ordering principles. Internat. …
Kristal Cantwell's user avatar
2 votes

Who invented the gamma function?

According to the Wikipedia article the question was of extending the factorial beyond the integers was first posed in the 1720's by Daniel Bernoulli and Christian Goldbach. It was first solved by Eule …
Kristal Cantwell's user avatar
11 votes

Have you solved problems in your sleep?

The article "Do androids prove theorems in their sleep?" available here describes an instance in which a dream inspired a mathematical result. It describes the details of the Thomason-Trobaugh theorem …
11 votes

Do there exist modern expositions of Klein's Icosahedron?

In Glimpses of algebra and geometry by Gabor Toth, chapter 25 is devoted to Klein's main result.
Kristal Cantwell's user avatar
7 votes

Fundamental Examples

the Fischer-Griess Monster. see: http://en.wikipedia.org/wiki/Monster_group

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