Foundational Number Theory: Math Problem Solving for Beginners

Number theory is the foundation of elegant mathematical reasoning, yet many students struggle with where to begin when facing these unique problems. This text-only course guides you from the absolute basics of integers to solving complex math puzzles using clear, written explanations and structured practice. What you'll learn: - Understand the fundamental principles of divisibility, prime numbers, and prime factorization. - Apply modular arithmetic to solve complex remainder and congruence problems. - Solve linear Diophantine equations using systematic, step-by-step algebraic techniques. - Practice proven problem-solving strategies commonly found in school exams and math competitions. - Master the properties of the Greatest Common Divisor (GCD) and Least Common Multiple (LCM). Your journey begins with essential terminology and basic divisibility rules before moving on to advanced topics like modular arithmetic and classical equations. Each concept is reinforced with written exercises and detailed explanations to ensure deep comprehension. This course is designed specifically for school students, math enthusiasts, and beginners with no advanced mathematical background. Start reading today to unlock the beauty and logic of numbers.