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Haskell : The Craft of Functional Programming - Simon Thompson


The Craft of Functional Programming

By: Simon Thompson (Contribution by)

Paperback Published: 15th June 2011
ISBN: 9780201882957
Number Of Pages: 528

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Introducing functional programming in the Haskell language, this book is written for students and programmers with little or no experience.  It emphasises the process of crafting programmes, problem solving and avoiding common programming pitfalls.

Covering basic functional programming, through abstraction to larger scale programming, students are lead step by step through the basics, before being introduced to more advanced topics.

This edition includes new material on testing and domain-specific languages and a variety of new examples and case studies, including simple games. Existing material has been expanded and re-ordered, so that some concepts – such as simple data types and input/output – are presented at an earlier stage.


1 Introducing functional programming

1.1 Computers and modelling

1.2 What is a function?

1.3 Pictures and functions

1.4 Types

1.5 The Haskell programming language

1.6 Expressions and evaluation

1.7 Definitions

1.8 Function definitions

1.9 Types and functional programming

1.10 Calculation and evaluation

1.11 The essence of Haskell programming

1.12 Domain-specific languages

1.13 Two models of Pictures

1.14 Tests, properties and proofs

2 Getting started with Haskell and GHCi

2.1 A first Haskell program

2.2 Using Haskell in practice

2.3 Using GHCi

2.4 The standard prelude and the Haskell libraries

2.5 Modules

2.6 A second example: Pictures

2.7 Errors and error messages

3 Basic types and definitions

3.1 The Booleans: Bool

3.2 The integers: Integer and Int

3.3 Overloading

3.4 Guards

3.5 Characters and strings

3.6 Floating-point numbers: Float

3.7 Syntax

4 Designing and writing programs

4.1 Where do I start? Designing a program in Haskell

4.2 Solving a problem in steps: local definitions

4.3 Defining types for ourselves: enumerated types

4.4 Recursion

4.5 Primitive recursion in practice

4.6 Extended exercise: pictures

4.7 General forms of recursion

4.8 Program testing 

5 Data types, tuples and lists

5.1 Introducing tuples and lists

5.2 Tuple types

5.3 Introducing algebraic types

5.4 Our approach to lists

5.5 Lists in Haskell

5.6 List comprehensions

5.7 A library database

6 Programming with lists

6.1 Generic functions: polymorphism

6.2 Haskell list functions in the Prelude

6.3 Finding your way around the Haskell libraries

6.4 The Picture example: implementation

6.5 Extended exercise: alternative implementations of pictures

6.6 Extended exercise: positioned pictures

6.7 Extended exercise: supermarket billing

6.8 Extended exercise: cards and card games

7 Defining functions over lists

7.1 Pattern matching revisited

7.2 Lists and list patterns

7.3 Primitive recursion over lists

7.4 Finding primitive recursive definitions

7.5 General recursions over lists

7.6 Example: text processing

8 Playing the game: I/O in Haskell

8.1 Rock - Paper - Scissors: strategies

8.2 Why is I/O an issue?

8.3 The basics of input/output

8.4 The do notation

8.5 Loops and recursion

8.6 Rock - Paper - Scissors: playing the game

9 Reasoning about programs

9.1 Understanding definitions

9.2 Testing and proof

9.3 Definedness, termination and finiteness

9.4 A little logic

9.6 Further examples of proofs by induction

9.7 Generalizing the proof goal

10 Generalization: patterns of computation

10.1 Patterns of computation over lists

10.2 Higher-order functions: functions as arguments

10.3 Folding and primitive recursion

10.4 Generalizing: splitting up lists

10.5 Case studies revisited

11 Higher-order functions

11.1 Operators: function composition and application

11.2 Expressions for functions: lambda abstractions

11.3 Partial application

11.4 Under the hood: curried functions

11.5 Defining higher-order functions

11.6 Verification and general functions

12 Developing higher-order programs

12.1 Revisiting the Picture example

12.2 Functions as data: strategy combinators

12.3 Functions as data: recognising regular expressions

12.4 Case studies: functions as data

12.5 Example: creating an index

12.6 Development in practice

12.7 Understanding programs

13 Overloading, type classes and type checking

13.1 Why overloading?

13.2 Introducing classes

13.3 Signatures and instances

13.4 A tour of the built-in Haskell classes

13.5 Type checking and type inference: an overview

13.6 Monomorphic type checking

13.7 Polymorphic type checking

13.8 Type checking and classes

14 Algebraic types

14.1 Algebraic type definitions revisited

14.2 Recursive algebraic types

14.3 Polymorphic algebraic types

14.4 Modelling program errors

14.5 Design with algebraic data types

14.6 Algebraic types and type classes

14.7 Reasoning about algebraic types

15 Case study: Huffman codes

15.1 Modules in Haskell

15.2 Modular design

15.3 Coding and decoding

15.4 Implementation – I

15.5 Building Huffman trees

15.6 Design

15.7 Implementation – II

16 Abstract data types

16.1 Type representations

16.2 The Haskell abstract data type mechanism

16.3 Queues

16.4 Design

16.5 Simulation

16.6 Implementing the simulation

16.7 Search trees

16.8 Sets

16.9 Relations and graphs

16.10 Commentary

17 Lazy programming

17.1 Lazy evaluation

17.2 Calculation rules and lazy evaluation

17.3 List comprehensions revisited

17.4 Data-directed programming

17.5 Case study: parsing expressions

17.6 Infinite lists

17.7 Why infinite lists?

17.8 Case study: simulation

17.9 Proof revisited

18 Programming with monads

18.1 I/O programming

18.2 Further I/O

18.3 The calculator

18.4 The do notation revisited

18.5 Monads: languages for functional programming

18.6 Example: monadic computation over trees

19 Domain-Specific Languages

19.1 Programming languages everywhere

19.2 Why DSLs in Haskell?

19.3 Shallow and deep Embeddings

19.4 A DSL for regular expressions

19.5 Monadic DSLs

19.6 DSLs for computation: generating data in QuickCheck

19.7 Taking it further

20 Time and space behaviour

20.1 Complexity of functions

20.2 The complexity of calculations

20.3 Implementations of sets

20.4 Space behaviour

20.5 Folding revisited

20.6 Avoiding recomputation: memoization

21 Conclusion


A Functional, imperative and 00 programming

B Glossary

C Haskell operators

D Haskell practicalities

E GHCi errors

F Project ideas


ISBN: 9780201882957
ISBN-10: 0201882957
Series: International Computer Science Series
Audience: Tertiary; University or College
Format: Paperback
Language: English
Number Of Pages: 528
Published: 15th June 2011
Publisher: Pearson Education (US)
Country of Publication: US
Dimensions (cm): 24.0 x 17.0  x 3.0
Weight (kg): 1.01
Edition Number: 3
Edition Type: Revised