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

Cezar Ionescu (Institutionen för data- och informationsteknik, Programvaruteknik (Chalmers)) ; Patrik Jansson (Institutionen för data- och informationsteknik, Programvaruteknik (Chalmers))
Proceedings of the 4th and 5th International Workshop on Trends in Functional Programming in Education (2075-2180). Vol. 230 (2016), p. 1-15.
[Konferensbidrag, refereegranskat]

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.

Nyckelord: Types, teaching, education, course

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Denna post skapades 2015-09-24. Senast ändrad 2017-05-31.
CPL Pubid: 223164


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