Real Analysis

Introduction

Real Analysis is the mathematical domain that involved studying the behavior of real numbers, sequences and series of real numbers, and real functions. Some particular properties of real-valued sequences and functions that real analysis studies include convergence, limits, continuity, smoothness, differentiability and integrability.

The most difficult part of the journey through Real Analysis is forgetting the heuristics, approaches, and ideas that have been beaten into your mind since middle-school. Since the field deals with very rudimentary topicsBut at an extreme level of preciseness, it is hard to "forget" the simple things.

Fundamentals of Real Analysis

• Natural numbers
• Addition
• Multiplication