Foundations of Number Theory

Do you want to explore the fascinating world of numbers and their inherent properties? This course provides a clear and accessible introduction to the core principles of number theory. You will gain a deep understanding of the building blocks of mathematics, from basic arithmetic to more advanced concepts. What you'll learn: * Understand definitions and properties of prime numbers, divisibility, and modular arithmetic. * Explore fundamental theorems like the Fundamental Theorem of Arithmetic and Fermat's Little Theorem. * Practice solving problems involving number theoretic functions and Diophantine equations. * Learn about modern applications and related fields such as cryptography and computational number theory. * Develop logical reasoning and problem-solving skills through theoretical exploration. This course begins with essential definitions and progresses through key concepts, equipping you with the knowledge to tackle mathematical challenges. It is designed for beginners with no prior background in advanced mathematics, requiring only basic arithmetic proficiency. Start your journey into the elegant world of numbers today.