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

Calculus

Calculus is a branch of mathematics focused on continuous change. It’s built upon the fundamental concepts of limits, derivatives, and integrals. Key Characteristics / Core Concepts Limits: The foundation of calculus; exploring the behavior of a function as its input approaches a certain value. Derivatives: Measure the instantaneous rate of change of a function, often … Read more