75 research outputs found

    The Logarithm of -1

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    Leonhard Euler’s Correspondence Schedule

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    In addition to his large number of published articles and books, Leonhard Euler engaged in a prolific correspondence with scientists, mathematicians, and administrators throughout his career. By compiling the dates of all of his known letters, as described in the Opera Omnia, we can get some understanding of Euler’s weekly schedule. We report here for the first time Euler’s preference, particularly during his Berlin Period, of writing letters on Tuesdays and Saturdays

    Babylonian Numeration

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    How to Calculate pi: Machin\u27s Inverse Tangents

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    How to Calculate pi: Buffon\u27s Needle (Non-calculus version)

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    How to Calculate π: Machin\u27s Inverse Tangents, A Mini-Primary Source Project for Calculus II Students

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    Almost every mathematical culture through history seems to have proved, trusted, or suspected that the area of a circle is a fixed constant times the square of its radius. It is maybe not surprising, then, that the last two millennia have seen a seemingly endless array of attempts to calculate this constant (today usually called π role= presentation \u3eπ) with increasing precision

    Media Exposure on Student Work: Spotlight on Undergraduate Research

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    This paper describes efforts by the author to engage and motivate students in undergraduate research by giving them a large audience and engaging the media in disseminating their work. I provide an introduction to public relations from the point of view of a mathematics professor, and describe some lessons I’ve learned in my own attempts to engage newsprint, radio, and television sources in stories about undergraduate research in mathematics. After describing some partially successful early attempts, the paper discusses a recent event in which undergraduate research in mathematics became, briefly, a “hot news item” in Central Washington. The paper concludes with some thoughts about the benefits of this type of work to our students and our profession

    The Other Moore Method

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    How to Calculate pi: Buffon\u27s Needle (Calculus version)

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    The derivatives of the sine and cosine functions: A Mini_Primary Source Project for Calculus I Students

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    This curricular modular guides students through a method of calculating the derivative of the sine and cosine functions using differentials. It is based on one primary source: Leonhard Euler\u27s Institutiones calculi differentialis (Foundations of Differential Calculus) [2], published in 1755
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