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

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        votes
        0answers
        247 views

        What happened to Suren Arakelov?

        I heard that Professor Suren Arakelov got mental disorder and ceased research. However, a brief search on the Russian wikipedia page showed he was placed in a psychiatric hospital because of political ...
        0
        votes
        1answer
        187 views

        Reference request: Oldest linear algebra books with exercises?

        Inspired by the recent success of my "soft question" here, I also have to ask, what are some of the oldest linear algebra books out there with exercises? I'm fine with or without solutions, either way....
        12
        votes
        5answers
        2k views

        Reference request: Oldest calculus, real analysis books with exercises?

        Per the title, what are some of the oldest calculus, real analysis books out there with exercises? Maybe there are some hidden gems from before the 20th century out there. Edit. Unsolved exercises ...
        9
        votes
        0answers
        252 views

        Why does Loday call the permutohedra “zylchgons”?

        Today I was reading Jean-Louis Loday's classic paper, "Realization of the Stasheff polytope", in which he produces a simple and very pretty realization of the associahedra as convex polytopes. He ...
        14
        votes
        0answers
        175 views

        Young's natural representation of the symmetric group

        The literature on the representation theory of the symmetric group contains some terminology that I find puzzling, and I am wondering if someone here knows the full story. One of the standard ways to ...
        9
        votes
        0answers
        184 views

        English translation of Wilhelm Killing's 1889 paper

        In the paper The greatest mathematical paper of all time, by A. J. Coleman (The Mathematical Intelligencer 11 (1989) pp29-38, https://doi.org/10.1007/BF03025189) the author argues that Wilhelm Killing'...
        2
        votes
        1answer
        146 views

        Looking for an erratum (reference request)

        Note: Since what I am asking about below touches on a potentially controversial subject, let me emphasize that I am only asking for a specific reference, and I am not asking for a discussion of the ...
        29
        votes
        2answers
        1k views

        Why did Dedekind claim that $\sqrt{2}\cdot\sqrt{3}=\sqrt{6}$ hadn't been proved before?

        In a letter to Lipschitz (1876) Dedekind doubts that $\sqrt{2}\cdot\sqrt{3}=\sqrt{6}$ had been proved before: quoted from Leo Corry, Modern algebra, German original: Why did Dedekind doubt that $(\...
        11
        votes
        5answers
        1k views

        Early examples of mathematicians publishing (from home) in a foreign language?

        Today this is common, but how exactly did it start? I am looking for examples in various languages, and suggest: Exclude Latin (as more “ancient” or “international” than “foreign”) Exclude French ...
        10
        votes
        1answer
        555 views

        Quantum functional analysis

        Can one explain some philosophy behind "quantum functional analysis" (or "quantized functional analysis") which was initiated and developed by such researchers as: Ruan Z.-J., Pisier J., Effros E.G., ...
        6
        votes
        0answers
        169 views

        History of the definition of completeness of algebraic varieties (and properness of morphisms)

        An algebraic variety (say over an algebraically closed field) $X$ is complete if for every variety $Y$, the projection $X \times Y \to Y$ is closed (with respect to the Zariski topology). As it is ...
        12
        votes
        4answers
        688 views

        History of ODE and PDE reference request

        Is there any reference (book or articles) which made the history (up to the modern times) and the conceptual development of Ordinary Differential Equations and Partial Differential Equations? It will ...
        6
        votes
        0answers
        115 views

        What (if any) was known about null sets before Lebesgue?

        The notion af a null set, i. e., a set of Lebesgue measure zero, does not require a full blown construction of Lebesgue measure: A set is $E\subset \mathbb{R}$ is called a null-set if it can be ...
        7
        votes
        3answers
        1k views

        “Mächtigkeit” versus “Kardinalität”?

        In Cantor's set theory, is there any difference between the terms M?chtigkeit and Kardinalit?t ?
        8
        votes
        1answer
        479 views

        Whence “Durchschnitt” and “Vereinigung”?

        Today the set-theoretic operations of intersection $\cap$ [German: Durchschnitt] and union $\cup$ [German: Vereinigung] are standard. The modern notations are present in the first edition of van der ...

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        山西福彩快乐十分钟
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