Foundations of Mathematics: A Beginner’s Guide to Arithmetic, Geometry, and Logic

Foundations of Mathematics: A Beginner’s Guide to Arithmetic, Geometry, and Logic is a comprehensive and approachable introduction to the essential building blocks of mathematics. Designed for students, adult learners, and anyone looking to strengthen their math skills, this book demystifies core concepts and demonstrates how math plays a vital role in everyday life.
Covering a wide range of fundamental topics, the book is organized into six chapters:
Chapter 1 explores types of numbers and basic arithmetic operations, including addition, subtraction, multiplication, division, and the order of operations.
Chapter 2 introduces fractions, decimals, and percentages, showing how they relate to each other and how to use them in practical contexts.
Chapter 3 delves into basic geometry, covering shapes, angles, perimeter, area, and volume with real-world applications like construction, painting, and measuring.
Chapter 4 provides a solid grounding in number theory, including prime numbers, factors, greatest common factors (GCF), least common multiples (LCM), and divisibility rules.
Chapter 5 introduces mathematical logic and reasoning, including propositions, truth tables, and simple proof techniques to build logical thinking skills.
Chapter 6 applies all of these concepts to real-life scenarios like budgeting, cooking, sports statistics, travel planning, and problem-solving puzzles.
Each section is filled with clear explanations, worked examples, practice problems, and real-world applications that make learning math both accessible and relevant.