{"product_id":"the-little-typer-9780262536431","title":"The Little Typer","description":"\u003cb\u003eAn introduction to dependent types, demonstrating the most beautiful aspects, one step at a time.\u003c\/b\u003e\u003cp\u003eA program's type describes its behavior. Dependent types are a first-class part of a language, and are much more powerful than other kinds of types; using just one language for types and programs allows program descriptions to be as powerful as the programs they describe. \u003ci\u003eThe Little Typer\u003c\/i\u003e explains dependent types, beginning with a very small language that looks very much like Scheme and extending it to cover both programming with dependent types and using dependent types for mathematical reasoning. Readers should be familiar with the basics of a Lisp-like programming language, as presented in the first four chapters of \u003ci\u003eThe Little Schemer\u003c\/i\u003e. \u003c\/p\u003e\u003cp\u003eThe first five chapters of \u003ci\u003eThe Little Typer\u003c\/i\u003e provide the needed tools to understand dependent types; the remaining chapters use these tools to build a bridge between mathematics and programming. Readers will learn that tools they know from programming--pairs, lists, functions, and recursion--can also capture patterns of reasoning. \u003ci\u003eThe Little Typer\u003c\/i\u003e does not attempt to teach either practical programming skills or a fully rigorous approach to types. Instead, it demonstrates the most beautiful aspects as simply as possible, one step at a time.\u003c\/p\u003e\u003cbr\u003e\u003cbr\u003e\u003cbr\u003e\u003cb\u003eAbout the Author\u003c\/b\u003e\u003cbr\u003eDaniel P. Friedman is Professor of Computer Science in the School of Informatics, Computing, and Engineering at Indiana University and is the author of many books published by the MIT Press, including \u003ci\u003eThe Little Schemer \u003c\/i\u003eand\u003ci\u003e The Seasoned Schemer\u003c\/i\u003e (with Matthias Felleisen); \u003ci\u003eThe Little Prover \u003c\/i\u003e(with Carl Eastlund); and \u003ci\u003eThe Reasoned Schemer\u003c\/i\u003e (with William E. Byrd, Oleg Kiselyov, and Jason Hemann). \u003cp\u003e\u003c\/p\u003eDavid Thrane Christiansen is a member of the technical staff at Galois, Inc., in Portland, Oregon. \u003cp\u003e\u003c\/p\u003eRobert Harper is a Professor of Computer Science at Carnegie Mellon University.\u003cbr\u003e","brand":"MIT Press","offers":[{"title":"Default Title","offer_id":50318749401362,"sku":"9780262536431","price":60.99,"currency_code":"USD","in_stock":false}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0831\/4771\/8930\/files\/img_becf1b8f-ea54-46f7-98f3-c08115da4a57.jpg?v=1727560537","url":"https:\/\/surprise-castle.myshopify.com\/products\/the-little-typer-9780262536431","provider":"Surprise Castle","version":"1.0","type":"link"}