Integration

Real Analysis

Real analysis is the branch of mathematical analysis dealing with the real numbers and functions of real numbers. It rigorously studies concepts like limits, continuity, differentiation, and integration. Key Characteristics / Core Concepts Limits and Continuity: The foundation of real analysis, exploring how functions behave as inputs approach certain values. Differentiation: The study of rates … Read more

Measure Theory

Measure theory is a branch of mathematics that deals with assigning a size or measure to sets, generalizing the notions of length, area, and volume. It provides a rigorous framework for handling concepts like probability and integration in a much more general setting than traditional calculus. Key Characteristics / Core Concepts Measurable Sets: Sets to … Read more