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        Questions tagged [ho.history-overview]

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

        6
        votes
        2answers
        525 views

        Books on the History of math research at European universities

        Are there good books that cover the history of math and mathematical science (ex. physics, chemistry, computer science) PhD programs in the Occident? My primary motivation is to figure out how the PhD ...
        20
        votes
        1answer
        387 views

        Videos of Gian-Carlo Rota Lectures

        I apologize if this is off topic. I think most of his listeners would agree with me that Gian-Carlo Rota had a wonderful style of lecture delivery. I have heard him lecture, both as an undergraduate ...
        43
        votes
        5answers
        6k views

        Have the tides ever turned twice on any open problem?

        Oftentimes open problems will have some evidence which leads to a prevailing opinion that a certain proposition, $P$, is true. However, more evidence is discovered, which might lead to a consensus ...
        20
        votes
        2answers
        2k views

        Intuition behind counterexample of Euler's sum of powers conjecture

        I was stunned when I first saw the article Counterexample to Euler's conjecture on sums of like powers by L. J. Lander and T. R. Parkin:. How was it possible in 1966 to go through the sheer ...
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        votes
        0answers
        114 views

        Noether’s “set theoretic foundations” of algebra. Reference

        In [C Mclarty] we read [Noether] project was to get abstract algebra away from thinking about operations on elements, such as addition or multiplication of elements in groups or rings. Her algebra ...
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        votes
        0answers
        410 views

        Who first noticed the duality for finite groups?

        A.A.Kirillov in section 12.3 of his "Elements of the Theory of Representations" writes that the first "symmetric" duality theory for non-commutative groups was the theory for finite groups. In short ...
        46
        votes
        4answers
        4k views

        Consequences of lack of rigour [closed]

        The standards of rigour in mathematics have increased several times during history. In the process some statements, previously considered correct where refuted. I wonder if these wrong statements ...
        9
        votes
        0answers
        255 views

        History of the definition of smooth manifold with boundary

        I am trying to determine the earliest source for the definition of smooth ($C^\infty$) manifold with boundary. Milnor and Stasheff (1958) give a definition, but a scrutiny of that definition shows it ...
        3
        votes
        1answer
        137 views

        History of the Taxonomy of Quadrilaterals

        Question: how did the classification of quadrilaterals come into being? Was there a single major contributor who coined terms like "rectangle", "square", "trapez/ium/oid", "kite", "deltoid", ...
        11
        votes
        1answer
        182 views

        Poincaré on analytic dependence on parameters of solutions of linear differential equations

        There is the following important General Principle: if a parameter enters in a linear differential equation additively, for example $$\frac{d^2w}{dx^2}+(q(x)+\lambda)w=0,$$ where the parameter is $\...
        37
        votes
        1answer
        1k views

        Class field theory - a “dead end”?

        I found the claim in the title a bit astonishing when I first read it recently in an interview with Michael Rapoport in the German magazine Spiegel (8 February 2019). And I was wondering how he comes ...
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        votes
        3answers
        3k views

        Who discovered the surreals?

        Common folklore dictates that the Surreals were discovered by John Conway as a lark while studying game theory in the early 1970's, and popularized by Donald Knuth in his 1974 novella. Wikipedia ...
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        vote
        0answers
        298 views

        What about this picture of André Weil?

        Some days ago I came across the following photo of André Weil. I obtained it from the archived page COLLOQUE ANDRé WEIL (resume). Furthermore, I found that this photo was used as the cover of a ...
        0
        votes
        1answer
        85 views

        Name for Directed Edges in Digraphs

        Graph theory originated in German speaking countries and there directed edges are called "Pfeil" which translates to "arrow", which makes sense, because arrows have distinguishable front end and rear ...
        29
        votes
        2answers
        909 views

        Littlewood’s three precepts of refereeing in mathematics: is it (1) new, (2) correct, (3) interesting?

        I have a question regarding Littlewood’s three precepts of refereeing a mathematical paper, namely whether it is (1) new, (2) correct, and (3) interesting. I have found these mentioned in the ...

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        山西福彩快乐十分钟
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