Posts

Showing posts with the label differentiability

REAL ANALYSIS- INTRODUCTION #real #analysis #introduction

Image
  REAL ANALYSIS- INTRODUCTION :                                                                  Real Analysis is a fundamental branch of mathematics that it rigorously studies real numbers, sequences, series, limits, continuity, differentiation and integration. It provides a formal frame work for understanding calculus, ensuring that intuitive concepts like limits and continuity are precisely defined and logically sound.                                             At its core , real analysis answers fundamental questions such as   * What does it mean for a sequence to converge?  * how do we rigorously define continuity and differentiability?  * What properties make functions well...