Book Image

Learning Functional Programming in Go

By : Lex Sheehan
Book Image

Learning Functional Programming in Go

By: Lex Sheehan

Overview of this book

Lex Sheehan begins slowly, using easy-to-understand illustrations and working Go code to teach core functional programming (FP) principles such as referential transparency, laziness, recursion, currying, and chaining continuations. This book is a tutorial for programmers looking to learn FP and apply it to write better code. Lex guides readers from basic techniques to advanced topics in a logical, concise, and clear progression. The book is divided into four modules. The first module explains the functional style of programming: pure functional programming, manipulating collections, and using higher-order functions. In the second module, you will learn design patterns that you can use to build FP-style applications. In the next module, you will learn FP techniques that you can use to improve your API signatures, increase performance, and build better cloud-native applications. The last module covers Category Theory, Functors, Monoids, Monads, Type classes and Generics. By the end of the book, you will be adept at building applications the FP way.
Table of Contents (21 chapters)
Title Page
Credits
About the Author
Acknowledgments
About the Reviewer
www.PacktPub.com
Customer Feedback
Preface
Index

Set theory symbols


Before moving forward with category theory, let's get familiar with the symbols of set theory:

Symbol

Symbol name

Meaning/definition

Example

{ }

Set

A collection of objects (also known as elements)

A = {5,6,7,8},

B = {5,8,10}

|

Such that

So that

A = {x | x

ℝ, x<0}

A∩B

Intersection

Objects that belong to set A and set B

AB = {5,8}

A∪B

Union

Objects that belong to set A or set B

AB = {5,6,7,8,10}

A⊆B

Subset

A is a subset of B. Set A is included in set B

{5,8,10}{5,8,10}

A⊂B

Proper subset / Strict subset

A is a subset of B, but A is not equal to B

{5,8}{

5,8,10}

A⊄B

Not subset

Set A is not a subset of set B

{8,15}{8,10,25}

a∈A

Element of

Set membership

A ={5,10,15}, 5A

x∉A

Not element of

No set membership

A ={5,10,15}, 2A

(a,b)

Ordered pair

A collection of 2 elements

A×B

Cartesian product

A set of all ordered pairs from A and B

|A|

Cardinality

The number of elements of set A

A ={5,10,15}, |A|=3

Ø

Empty set

Ø = {}

A = Ø

Maps to

f: a ↦ b means the function f maps from the element a to the element b

f: a ↦...