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The Little Typer
by Daniel P. Friedman

Summary: An introduction to dependent types, demonstrating the most beautiful aspects, one step at a time. A 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. The Little Typer 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 The Little Schemer. The first five chapters of The Little Typer 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. The Little Typer 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. show more

See other books similar to The Little Typer by Daniel P. Friedman pdf:

The Little Prover, The Seasoned Schemer, The Little Schemer, The Reasoned Schemer, The Reasoned Schemer, Types and Programming Languages, Database Internals, Domain Modeling Made Functional, Structure and Interpretation of Computer Programs, How to Design Programs, Purely Functional Data Structures, The Pragmatic Programmer, Practical TLA+, Domain-Driven Design Distilled, Godel, Escher, Bach, Designing Data-Intensive Applications, Working Effectively with Legacy Code, The Elements of Computing Systems, Refactoring, Grokking Algorithms

Product details Format Paperback | 424 pages Dimensions 178 x 229 x 21mm | 635.03g Publication date 18 Sep 2018 Publisher MIT Press Ltd Imprint MIT Press Publication City/Country Cambridge, United States Language English Illustrations note 23 b&w illus.; 46 Illustrations, unspecified ISBN10 0262536439 ISBN13 9780262536431 Bestsellers rank 250,330

The new edition of this best-selling text on arts-based teaching redefines literacy in light of the 21st century need for multiple literacies. To help readers develop their reasoning and writing skills, each chapter is constructed to serve as an example of a historical essay: a historical problem is presented, and arguments are developed using historical evidence. Each issue is thoughtfully framed with an issue summary, an issue introduction, and a postscript. The book concludes with what we now know about world poverty and what does and does not work to reduce it. This introduction provides more than a history of musical theater, it studies the music within the shows to provide an understanding of the contributions of musical theater composers as clearly as the artistry of musical theater lyricists and librettists. Both the principles of biology and the scientific method are introduced, using plants as illustrations. The Harrison’s Self-Assessment and Board Review features more than 1000 board-type cases and questions and highlights the use of Harrison’s as a great board prep resouce. The approach is analytical: discussion is driven by mathematical analyses of and solutions to specific engineering problems. Expanded and latest research on universal design for learning (UDL), autism spectrum disorders, co-teaching arrangements, instructional technology, differentiating instruction, Positive Behavioral Supports, student diversity and motivation, fostering students’ literacy and mathematics learning, research-based teaching strategies, assessing and grading students in inclusive classrooms, teaching and testing accommodations, building social relationshipsand implementing IEPs in inclusive classrooms. In addition, emphasis is placed on the application of basic principles of fluid mechanics to the formulation of open channel flow problems so that the assumption and limitation of existing numerical models are made clear. The Little Typer by Daniel P. Friedman Taken together, these items speed the development of ‘marketing sense’ and enable the student to analyze marketing situations and develop marketing plans in a confident and meaningful way. There was a readily perceived need for an up-to-date survey of American art that addressed the thematic, cultural, and historical concerns of the field in the 21st century. Binder Ready Loose-Leaf Text (9780077497712) This full featured text is provided as an option to the price sensitive student. Progress dashboards that quickly show how you are performing on your assignments and tips for improvement. Connect is the only integrated learning system that empowers students by continuously adapting to deliver precisely what they need, when they need it, and how they need it, so that your class time is more engaging and effective.” Chapter topics include detailed treatments of all the sounds of the language, and discussions of the sounds which present the most difficulty for learners such as nasal vowels, mid vowels, semi-vowels, mute e, and liaison. Each chapter begins with an overview of key concepts and includes a short-answer practice test on the fundamental principles and new reactions. As the fastest growing introductory Italian title, Avanti! Beginning Italian continues to evolve to meet the changing needs of instructors and students. In response to concerns about teacher retention, especially among teachers in their first to fourth year in the classroom, we offer in this title future teachers a series of brief guides full of practical advice that they can refer to in both their student teaching and in their first years on the job. Also other file formats may be included in this archive: pdf, epub, fb2, mobi