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Math & Logic Essentials for Programming.

A practical bridge between math, logic, and everyday programming. This edition focuses on the concepts that help programmers reason about code, conditions, structures, and technical problems. Support the one-person MultiAgentAI studio and receive this PDF instantly on the $20 or $30 supporter tier.

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Cover preview for Math & Logic Essentials for Programming.

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Purpose

The same math and logic foundation, bridged directly into Python.

Math & Logic Essentials for Programming is for readers who want to understand the ideas behind code before memorising syntax. It teaches arithmetic, algebra, logic, sets, functions, matrices, probability, and reasoning, then shows how those ideas appear inside real Python expressions and small programs.

The programming edition keeps the full conceptual foundation and adds explicit "from concept to code" bridges. A learner sees the paper idea first, then the Python operator, boolean expression, loop, function, collection, or program that uses it.

What it connects

Operator precedence Variables Types Booleans Comparisons Conditionals Loops Functions Lists Sets Dictionaries Small programs

Teaching method

Concept first, code second, practice immediately.

This edition keeps the math explanations concrete, then repeatedly asks: what does this look like when a computer has to evaluate it? That bridge makes syntax feel less arbitrary because the reader already understands the idea underneath.

01

Math ideas become Python expressions

Order of operations, powers, division, modulo, comparisons, and grouping are shown both on paper and in executable Python form.

02

Logic becomes control flow

Truth tables, implication, Boolean algebra, and conditionals prepare the reader for if-statements, guards, predicates, and program decisions.

03

Structures become programs

Sequences, sets, mappings, recurrence, and functions build toward loops, lists, dictionaries, reusable functions, and small projects.

Inside the book

Screenshots from the programming edition.

These previews show how the book turns abstract concepts into runnable Python: first the reasoning, then the code, then a small prompt to test the idea yourself.

A page explaining how to use Math & Logic Essentials for Programming.
How to use the bookThe chapter rhythm explains definitions, examples, shortcuts, code bridges, and practice.
A Python page showing operator precedence examples.
Concept to codeOrder of operations becomes Python operator precedence with visible output.
A Python page about getting started with the REPL and print.
REPL and printReaders learn to run expressions and see the computer evaluate math step by step.
A Python page about loops, ranges, and repetition.
Loops and repetitionSequences, ranges, running totals, factors, and prime checks become programs.

Learning path

A route from first principles to small working programs.

The programming edition is not just a Python appendix. It threads programming ideas through the foundation so the reader can recognise why code behaves the way it does.

  • Math foundations cover arithmetic, factors, fractions, ratios, percentages, equations, graphs, geometry, probability, and statistics.
  • Logic foundations cover propositions, connectives, truth tables, implication, equivalence, quantifiers, sets, arguments, and fallacies.
  • Programming bridges connect those ideas to Python precedence, numeric operators, comparisons, booleans, and conditionals.
  • Repeated work introduces loops, ranges, running totals, generated sequences, factor searches, and prime checks.
  • Reusable structure builds functions, parameters, return values, lists, sets, dictionaries, and small program design.
  • Problem-solving habits teach readers to predict output, test assumptions, debug mistakes, and explain why code is correct.

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