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Computer generated forecasts play an important role in our daily lives, for example, predicting weather or economies. Forecasts combine computational models of relevant dynamical processes with measured data. Errors are always present through incomplete observations plus imperfections in the model, so forecasts must be constantly calibrated with new data. In the geosciences, this is called […]
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Measure and integration theory is an indispensable tool in mathematical analysis, probability theory, mathematical statistics and in many applications such as mathematical finance and actuarial studies. Sometimes it is taught at the end of one’s undergraduate studies, but it is more commonly found in the graduate curriculum – well after the theories which are based […]
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Everyone who writes about programming languages seeks to impose order on the chaos of extant languages. A common strategy is to borrow Thomas Kuhn’s concept of a scientific paradigm, itself a not uncontroversial attempt to explain the social processes of science in his famous book entitled The Structure of Scientific Revolutions (Kuhn, 1975). Following Kuhn, […]
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In October 2016, a few months after our book appeared, I was at an AMS conference in Denver where Andreas Blass told me of an interesting fact related to the Banach–Tarski Paradox (BTP). I will summarize the story here. Many people, upon hearing about the BTP (a ball may be partitioned into five pieces that […]
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A brief interview with Barry Mazur and William Stein, authors of 'Prime Numbers and the Riemann Hypothesis,' on the development of this essential book and its standout qualities.
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Tore Schweder, co-author of Confidence, Likelihood, Probability, examines whether or not prior distribution is needed if it is not based on data.
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An interview with 'Contest Theory' author Milan Vojnovic. His new books offers a comprehensive coverage of contest theory developed in the areas of economics, computer science and statistics.
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John Braun and Duncan Murdoch wrote A First Course in Statistical Programming with R in 2005 or so, and the graphics chapter concentrated on two-dimensional base graphics. This year they released a second edition and discuss other graphics systems. They mention rgl, a package for interactive 3D graphics, but don’t go into any detail (it’s hard to […]
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