Math & Logic for Coders cover
PDF book · Math and logic

Math & Logic for Coders

The arithmetic, logic, algebra and discrete math behind everyday programming

The math and logic behind programming, built step by step from arithmetic and number theory through logic, algebra, trigonometry, geometry and calculus to number bases and binary, with a From Concept to Code section that turns each idea into Python you can run.

Format
PDF download
Length
698 pages
Edition
2026
Price
$20 once
Who it is for

Anyone who wants the math and logic behind programming, and to write Python while learning it.

The complete math and logic foundation with Python in every chapter, ending in a hands-on Python part.

Math & Logic for Coders contains the same 64-chapter path as The Math & Logic Foundation, from order of operations, place value and primes to truth tables, Boolean algebra, sets, functions, modular arithmetic, matrices, trigonometry, geometry, calculus and number bases. Each of those chapters adds a From Concept to Code section that writes the idea as Python you can run yourself. A final part of nine chapters then takes you from the REPL and print() through variables, types, operators, conditionals, loops, functions and collections to small working programs. A complete beginner can start at page one; a professional shoring up foundations can drop in where they need to.

The moment you understand a concept you can watch it run as real code.
  • 73 chapters in 12 parts, from order of operations to calculus and number bases
  • A From Concept to Code Python section in each of the 64 math and logic chapters
  • 608 worked examples, with mental-math shortcuts, common mistakes, quizzes and answers
  • A nine-chapter Python part: variables, conditionals, loops, functions, collections and small programs
Look inside

Pages from the PDF.

Real pages from the book. Select a page to open it at full size.

How to use the book: a page from Math & Logic for Coders
How to use the bookDefinitions, worked examples, shortcuts, common mistakes, quizzes and Python sections.
Contents: a page from Math & Logic for Coders
ContentsTwelve parts, from number foundations and logic to calculus, number bases and Python.
The idea behind it: a page from Math & Logic for Coders
The idea behind itChapter 1 explains why the order of operations exists before applying it.
From Concept to Code: a page from Math & Logic for Coders
From Concept to CodeEach math and logic chapter closes with the same idea written as runnable Python.
Small programs: a page from Math & Logic for Coders
Small programsThe final Python part ends with small working programs, shown with their output.
How it teaches

How Math & Logic for Coders teaches the subject.

Each chapter explains why an idea is true before showing how to use it, then backs it up with worked examples, mental-math shortcuts, the common mistakes to sidestep and a short quiz, with full answers at the end of the chapter. The From Concept to Code section then writes the same idea as Python, so you can check your understanding by running it. Every subject is broken into small building blocks, arranged so that each one rests on the ones before it.

Assumed background

Nothing is assumed. A complete beginner can start at page one: the math begins with order of operations, and the final part introduces Python from the REPL and print().

Reasonable timeframe

Work through the parts in order; each one assumes the ones before it. The book's advice is to take the quizzes seriously and give each block the time it needs, because the goal is to understand rather than to finish quickly. If you are shoring up foundations, the building-block layout lets you drop into the part you need.

What a study session looks like.

  1. 01

    The idea behind it

    Why a rule is true, before you are asked to use it.

  2. 02

    Definition

    The precise meaning of each term or rule, set apart in a tinted box.

  3. 03

    Worked examples

    Problems solved in numbered steps; try each one yourself first, then check.

  4. 04

    Shortcuts and mistakes

    Mental-math shortcuts, and the traps most learners fall into.

  5. 05

    Quiz

    A few questions to lock in the idea, with full answers at the end of the chapter.

  6. 06

    From Concept to Code

    The same idea written as Python you can run yourself.

ArithmeticNumber theoryLogicBoolean algebraSetsDiscrete mathAlgebraTrigonometryGeometryCalculusBinaryPython
One-time purchase

Buy Math & Logic for Coders.

$20 Buy the PDF for $20

  • The complete 698-page PDF, 2026 edition
  • Secure checkout on Stripe; no account and no subscription
  • A private download link on your receipt page and by email
  • Each link works once, so save the PDF when it downloads
  • Sold separately from the Mac apps

Questions about Math & Logic for Coders.

Is Math & Logic for Coders suitable for beginners?

Yes. Nothing is assumed. A complete beginner can start at page one: the math begins with order of operations, and the final part introduces Python from the REPL and print(). It is written for self-study and builds up step by step.

How long does it take to work through Math & Logic for Coders?

Work through the parts in order; each one assumes the ones before it. The book's advice is to take the quizzes seriously and give each block the time it needs, because the goal is to understand rather than to finish quickly. If you are shoring up foundations, the building-block layout lets you drop into the part you need.

What format is Math & Logic for Coders, and how do I get it?

Math & Logic for Coders is a 698-page PDF. Checkout is handled by Stripe. When payment completes, the receipt page gives you a private download link, and the same link is sent to the email address you used at checkout.

Can I read it on any device, and is it mine to keep?

Yes. It is a standard PDF you can read on a computer, tablet or phone, online or offline. It is a one-time purchase for $20 with no subscription, and the file is yours to keep.

What if my download link stops working?

Each link works once and shows when it expires, so save the PDF when the download finishes. If a download fails or a link has expired, email support@macossoftware.com with your Stripe receipt and we will help.

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