Foundations of Set Theory and Real Numbers

Set theory forms the foundational language of modern mathematics, logic, and data analysis. This course guides you through core mathematical concepts step by step, starting with key terminology and clear definitions. You will learn to work confidently with set operations, real numbers, and numerical intervals while building analytical problem-solving skills. What you'll learn: • Understand the foundational definitions, notation, and representations of sets • Perform essential set operations including union, intersection, difference, and complement • Explore the structure and properties of the set of real numbers • Work with numerical intervals, bounds, and set representations • Apply set theory concepts to basic logic and structured data problems. The content begins with elementary definitions before progressing to practical written exercises that reinforce set operations and numerical analysis. Designed specifically for beginners, this reading-focused course requires no advanced mathematical background. Start reading today to master the fundamentals of set theory.