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arXiv · 1611.09475

Domain-Specific Languages of Mathematics: Presenting Mathematical Analysis Using Functional Programming

Cezar Ionescu·Patrik Jansson
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Abstract

We present the approach underlying a course on "Domain-Specific Languages of Mathematics", currently being developed at Chalmers in response to difficulties faced by third-year students in learning and applying classical mathematics (mainly real and complex analysis). The main idea is to encourage the students to approach mathematical domains from a functional programming perspective: to identify the main functions and types involved and, when necessary, to introduce new abstractions; to give calculational proofs; to pay attention to the syntax of the mathematical expressions; and, finally, to organise the resulting functions and types in domain-specific languages.

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Cezar Ionescu, Patrik Jansson. 2016-11-29. Domain-Specific Languages of Mathematics: Presenting Mathematical Analysis Using Functional Programming. https://doi.org/10.4204/eptcs.230.1

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