PDF book · Math and logic

Math & Logic for Coders

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

The arithmetic, logic, algebra and discrete math behind everyday programming, built from first principles, with a From Concept to Code section that turns each idea into Python you can run.

  • 698 pages
  • PDF download
  • 2026 Edition
  • English
  • $20 one-time

Secure checkout with Stripe. Your receipt gives you a private download link, and there is no subscription.

Cover of Math & Logic for Coders
About the book

What Math & Logic for Coders covers

Math & Logic for Coders builds the mathematics and logic that programming relies on, one small block at a time. It starts with order of operations, place value, the four operations, integers, factors and primes, exponents, roots, fractions, decimals and percentages, then covers statements, connectives, truth tables, conditionals, De Morgan's laws, quantifiers, sets and Boolean algebra. Later parts cover equations, functions, sequences and recurrence relations, modular arithmetic, relations and mappings, matrices and vectors, trigonometry, geometry including projections, collisions and graphs, calculus and number bases including binary. A final part teaches Python from the REPL and print() to small working programs.

Best for: Learners and working programmers who want the math and logic behind code, and to write Python while learning it.

  • 698 pages in 73 chapters across 12 parts
  • Arithmetic, number theory, logic, Boolean algebra, algebra, trigonometry, geometry, calculus and number bases
  • A From Concept to Code Python section in each of the 64 math and logic chapters, plus a nine-chapter Python part
  • Definitions, worked examples, mental-math shortcuts, common mistakes and a quiz with answers in every chapter
How it teaches

A repeatable study rhythm

Each chapter explains why an idea is true before showing how to use it, with definitions, worked examples in numbered steps, mental-math shortcuts and the common mistakes to avoid. A short quiz closes every chapter, with full answers at the end of the chapter, and a From Concept to Code section writes the same idea as Python you can run and check.

  1. The idea behind it

    Why a rule exists, before you use it.

  2. Definition

    The precise meaning of a term or rule.

  3. Worked examples

    Problems solved in numbered steps. Try them first, then check.

  4. Shortcuts and mistakes

    Faster mental-math routes, and the traps to avoid.

  5. Quiz

    A few questions per chapter, with full answers at the end of the chapter.

  6. From Concept to Code

    The same idea written as Python you can run yourself.

Look inside

Pages from the PDF

Five full pages from the PDF. Select a page to open it at full size.

  • How to use this book: a page from Math & Logic for Coders
    How to use this bookThe signposts in every chapter: definitions, worked examples, shortcuts, common mistakes, a quiz and From Concept to Code.
  • Contents: a page from Math & Logic for Coders
    ContentsSeventy-three chapters in twelve parts, from order of operations to a hands-on Python part.
  • A chapter opening: a page from Math & Logic for Coders
    A chapter openingChapter 19 shows why n statements need 2ⁿ rows before building a truth table.
  • Worked examples: a page from Math & Logic for Coders
    Worked examplesTruth tables built column by column, with each step of the reasoning and the row that answers the question.
  • Small programs: a page from Math & Logic for Coders
    Small programsChapter 72 combines conditionals, loops and functions into small Python programs, such as a prime checker.
Before you start

What you need and how long it takes

Assumed background

Nothing beyond everyday arithmetic is assumed. The book starts with order of operations and builds every later idea on the ones before it. The Python sections are short programs you can type and run, and the final part teaches Python from the beginning.

A realistic pace

Work through the parts in order: each one assumes the ones before it. Chapters are short, so one or two per sitting is a steady pace, and the quizzes are the check that you understood rather than finished fast.

  • Arithmetic
  • Number theory
  • Logic
  • Truth tables
  • Boolean algebra
  • Sets
  • Algebra
  • Modular arithmetic
  • Matrices
  • Trigonometry
  • Geometry
  • Calculus
  • Binary
  • Python
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$20USD · PDF · 698 pages
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Format
PDF
Pages
698
Edition
2026 Edition
Language
English
File size
8.3 MB
Price
$20 USD, one-time
Delivery
Single-use download from your receipt

Questions about Math & Logic for Coders

Is Math & Logic for Coders suitable for beginners?

Nothing beyond everyday arithmetic is assumed. The book starts with order of operations and builds every later idea on the ones before it. The Python sections are short programs you can type and run, and the final part teaches Python from the beginning. 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. Chapters are short, so one or two per sitting is a steady pace, and the quizzes are the check that you understood rather than finished fast.

What do I get, and how is it delivered?

A 698-page PDF (8.3 MB). After payment, your receipt page gives you a private, single-use download link, and we email you a link to that receipt. Save the PDF after downloading.

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

It is a standard PDF for a computer, tablet or phone, online or offline. It is a one-time purchase of $20 with no subscription. You keep the file for your own reading; the purchase terms explain the personal-use licence.

What if my download fails?

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