First edition · August 2026
The AI Search Handbook
A complete, self-contained guide to generative engine optimisation: how AI search retrieves, chunks, evaluates and cites information, and how to become a source an AI answer names.
2026 edition · by Luke McLaughlin
Math & Logic Essentials for Programming
The same complete foundation in math & logic, with every idea bridged to Python
The complete Math & Logic Essentials foundation with a “From Concept to Code” Python section in every chapter and a final hands-on Python part, so each idea runs as real code the moment you understand it.
- Pages
- 698
- Chapters
- 73
- Parts
- 12
- Python
- Every chapter
Free download. No payment, no sign-up. Anyone who wants the maths and logic behind programming, and to write Python while learning it.
About this book
What it covers
Math & Logic Essentials for Programming is the same complete foundation as Math & Logic Essentials, from arithmetic and logic to calculus and number bases, with every idea bridged to Python.
Every chapter ends with a “From Concept to Code” section that writes the idea as Python you can run yourself, and a final part takes you from the REPL and print() through variables, conditionals, loops, functions and collections to small working programs.
What you will be able to do
- The full maths and logic foundation, from arithmetic to calculus
- Truth tables, Boolean algebra and the logic of conditionals
- Number bases and binary: how computers count
- A Python version of every idea, with output you can check
- Variables, types, operators, conditionals and loops
- Functions, lists, sets, dictionaries and small programs
Contents
Twelve parts
- Part INumber & Arithmetic Foundations
- Part IIFactors, Multiples & Number Theory
- Part IIIExponents, Roots & Scientific Notation
- Part IVFractions, Decimals & Percentages
- Part VIntroduction to Logic
- Part VIAlgebra: Equations, Inequalities & Functions
- Part VIIAlgebra in Depth
- Part VIIITrigonometry
- Part IXGeometry
- Part XCalculus
- Part XINumber Bases & the Language of Computers
- Part XIIPython: From Concept to Code
Excerpt
Read the Python section of Chapter 1
From Chapter 1 · Order of Operations · From Concept to Code (Python)
Python obeys the exact same order of operations – it is built into the language as operator precedence. Type math straight into Python and it evaluates powers (**) first, then * / // %, then + -, left to right, with parentheses overriding everything.
print(3 + 4 * 2) # multiply first
print((3 + 4) * 2) # parentheses force the add first
print(5 + 2 ** 3 * (7 - 3))11
14
37Try it: (1) Predict, then run: print(20 / 4 * 2). Why is it 10.0 and not 2.5? (2) Use parentheses to make 2 + 3 * 4 equal 20 instead of 14.
Questions
About this book
Is Math & Logic Essentials for Programming free?
Yes. The complete 698-page PDF is free to download. There is no payment, sign-up or email address required.
Who is Math & Logic Essentials for Programming for?
Anyone who wants the maths and logic behind programming, and to write Python while learning it.
What does Math & Logic Essentials for Programming cover?
The complete Math & Logic Essentials foundation with a “From Concept to Code” Python section in every chapter and a final hands-on Python part, so each idea runs as real code the moment you understand it.
What do I download?
One PDF of 698 pages (9.6 MB) with 73 chapters.
Who wrote Math & Logic Essentials for Programming?
Luke McLaughlin, an AI marketing and search specialist in Munich with more than ten years in B2B marketing. His profile and CV are on the author page.
Written by
Luke McLaughlin
Luke is an AI marketing and search specialist with more than ten years in B2B marketing across biotech, life sciences and SaaS. His work sits where technical SEO meets generative engine optimisation: making brands crawlable, retrievable and cited by AI answer engines.
He holds an MSc in Molecular Biology, works hands-on in Python, SQL and both cloud and local open-weight language models, and writes these books so that marketers can do the same.
Also free
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