Domain-Specific Languages of Mathematics

The main idea behind this book is to encourage readers 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.

The book is recommended for developers who are learning mathematics and

would like to use Haskell to make sense of definitions and theorems. It

is also a book for the mathematically interested who wants to explore

functional programming and domain-specific languages. The book helps put

into perspective the domains of Mathematics and Functional Programming

and shows how Computer Science and Mathematics are usefully taught together.