Magical Haskell
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Magical Haskell

modern functional programming and type theory in a fun and accessible way

About the Book

Typed functional programming is the future, "techtonic" shift waiting to happen. However, accessible materials to help people efficiently master it without resorting to either trying to draw analogies from the imperative world or on the contrary, using a very technical and math-heavy top-down approach, are in high demand. This is an attempt to explain the elegance of modern functional programming patterns using Haskell as a primary language in a visual, accessible, and engaging way building on the foundation of math but without imperative crutches or heavily technical machinery.

Starting from Types, their creation, relations between each other and structure, „Magical Haskell“ gently builds up to what is considered complex and normally difficult to understand concepts - monads, using monad transformer stacks to structure real programs, foldable and traversable structures, and other interesting useful typeclasses - helping a reader to structure them neatly and use efficiently.

This is book 1 in a 5-book series, laying the foundation for future advanced topics.

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About the Author

Anton Antich
Anton Antich

I helped build Veeam from 0 to over $600M in annual sales in under eight years as Senior VP, Strategic Operations. Upon a successful exit in 2016, I invested in about 20 startups, primarily in AI and deep tech space. Still, there was also one space satellite manufacturer, a small burger chain, and a fashion retail stores automation company. I am passionate about building startups from the ground up, focusing on the end-to-end revenue generation process, and have consulted a lot of them on global scaling.

In my spare time, I study category theory, type theory, and functional languages, while contributing to AI R&D efforts at Superstring Solutions. I am a physics major, enjoy the "pleasure of finding out how things work," and trying to explain complex concepts in an accessible way.


Table of Contents

    • How this book came to be: instead of an introduction
        • Well, no, it’s a cloud.
        • But who in the world has time for this?!
        • So, how do we teach Haskell to kids or help adults master its’ power faster and more efficiently?
    • Short Introduction: How To Read This Book
  • Part 1: Foundation
    • Chapter 1: Wizards, Types, and Functions
      • Functional Programming Is Magic
      • Solving Problems As Wizards Do
      • Let’s Fall In Love With Types!
        • A Char and an Int walk into a bar and make a Function
        • How FunTypical!
        • Curry and Recurse!
      • Conclusion
      • Mage’s Toolbox 1: Simple Types, Simple Functions, Recursion, If-Else
    • Chapter 2: Type Construction
      • House of cards with a little help from Algebra
        • Algebraic Data Types
        • Records
      • Type Functions Are Functions, Maybe?
        • Advanced: On Data Constructors and Types
      • List, Recursion on Types and Patterns
      • Lift me up!
    • Chapter 3M: Very Gentle Type Theory and Category Theory Intro
      • Types and Functions
      • Maybe and Advanced Generalized Functions
      • Dependent Function Types (PI-types)
  • Part 2: I Wanna Be FAMIOus!
    • Chapter 4: Basic Typeclasses or “Show Me A Monoid”
      • Show Typeclass
      • Algebra is cool
      • Typeclasses Hierarchy in Haskell
    • Chapter 5: Functor, Bifunctor, Trifunctor enter an elevator…
      • Functor Typeclas Definition
      • 3-Dimensional Vector Example
      • Tracking Players in our Game
      • You are Either Functor or a Bifunctor
      • PlayerData as a Bifunctor
    • Chapter 6: Applicative Application of the Applicants
      • We need a bigger Lift
      • Action! Apply! Cut!
    • Chapter 7: O, Monad, Help me Compose!
    • Chapter 8: Input, Output, IO
  • Part 3: Getting Real
    • Chapter 9: Real-World Programs
      • Designing Types and Functions
      • Stacking Monads
    • Chapter 10: Mutable Variables, Vectors, Type Families
    • Chapter 11: Folding stuff, Traversing structures
      • Functional data structures
      • What killed the for loop
    • Conclusion and future books in the series

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