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Titlebook: Research in History and Philosophy of Mathematics; The CSHPM 2016 Annua Maria Zack,Dirk Schlimm Conference proceedings 2017 Springer Intern

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The Convolution as a Mathematical Object,me delay, and superposition of events. We consider the modern mathematical properties of the convolution with Volterra, Lebesgue, Doetsch, and Schwartz, and we illustrate some applications of the convolution in the theory of probability, interpolation, and smoothing.
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,Bolzano Against Kant’s Pure Intuition,mathematical reasons to think that an intuition-based philosophy of mathematics was untenable. This paper identifies and clarifies two of Bolzano’s longstanding objections to Kant’s philosophy of mathematics. Once this is done, I defend Kant from these objections. To conclude, I discuss a deeper dis
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,Polar Ordinates in Bernoulli and L’Hôpital,ecause Newton’s results were only published posthumously, almost half a century later. However, it was not until the middle of the 18th century that polar coordinates took on the form that is used today. Earlier versions all featured ordinates emanating from a single point or pole, with some geometr
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