Category Archives: Princeton Companion

PCAM Authors Speaking About Their Work at SAMSI

The Statistical and Applied Mathematical Sciences Institute (SAMSI) has just run a Workshop on the Interface of Statistics and Optimization. Among the speakers were four authors of articles in The Princeton Companion to Applied Mathematics (PCAM). In an earlier post … Continue reading

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Quotes on Applied Mathematics

In the 1000 or so pages of The Princeton Companion to Applied Mathematics the 165 authors offer insight, wisdom, and humour. Here is a selection of quotes from the book. Gil Strang (page 939) “Our subject is extremely large!” David … Continue reading

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The Top 10 Algorithms in Applied Mathematics

In the January/February 2000 issue of Computing in Science and Engineering, Jack Dongarra and Francis Sullivan chose the “10 algorithms with the greatest influence on the development and practice of science and engineering in the 20th century” and presented a … Continue reading

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Behind the Scenes of the Princeton Companion to Applied Mathematics

I’ve published an article Making the Princeton Companion to Applied Mathematics in Mathematics Today, the membership magazine of the The Institute of Mathematics and its Applications. The article describes the story behind the Princeton Companion to Applied Mathematics, published in … Continue reading

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The Most Beautiful Equations in Applied Mathematics

The BBC Earth website has just published a selection of short articles on beautiful mathematical equations and is asking readers to vote for their favourite. I wondered if we had included these equations in The Princeton Companion to Applied Mathematics … Continue reading

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Companion Authors Speaking About Their Work

The authors of articles in The Princeton Companion to Applied Mathematics are very active in giving talks about their work and about the subject in general. I have collected a set of links to videos (or, in some cases, audio … Continue reading

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Famous Mathematicians and The Princeton Companion

The Princeton Companion to Applied Mathematics has a 23-page Part I article “History of Applied Mathematics”, but apart from that it does not contain any articles with a historical or biographical emphasis. In designing the book we felt that the … Continue reading

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How to Use The Princeton Companion to Applied Mathematics

The Princeton Companion to Applied Mathematics, discussed in these previous posts, has a wide target audience, which includes mathematicians at undergraduate level or above; students, researchers, and professionals in other subjects who use mathematics; and mathematically interested lay readers. Here … Continue reading

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Programming Languages: An Applied Mathematics View

A lot of applied mathematics relies on computation, whether symbolic or numeric, so many applied mathematicians need to program as part of their work. It was therefore natural to include an article on programming languages in The Princeton Companion to … Continue reading

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Wobbly Tables

In The Princeton Companion to Applied Mathematics (page 50) I mention that a four-legged table provides an example of an ill-posed problem. If we take a table having four legs of equal length lying on a flat surface and shorten … Continue reading

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