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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 4th International Workshop on Trends in Functional Programming in Education (2015)
[Konferensbidrag, refereegranskat]

In this paper, we present the approach underlying a course on "Domain-Specific Languages of Mathematics" which is 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 organize 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 2015-09-24.
CPL Pubid: 223164