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Riemann Integral

Introduction: The story of integration started with I. Newton, when in the late 1660 he invented the method of inverse tangents to find areas under curves. In 1680, G. Leibnitz discovered the process of finding tangent line to find area. Thus, they had discovered the integration, being a process...

Lebesgue Outer Measure

Introduction: The Riemann integral of a bounded function over a closed, bounded interval is defined using approximations of the function that are associated with partitions of its domain into finite collections of subintervals. The generalization of the Riemann integral to the Lebesgue integral...

Continuity – Calculus

Welcome again to another article!!! This time with a new article in Calculus, and the topic of our journey this time is Continuity; so, after introducing the concept of limits of a function, their properties, and the different operations on limits alongside presenting the indeterminate forms that...

Probability theory – Conditional Probability

Hello again!!! It is time to continue our journey in the field of probability theory; So, after introducing probability theory, the different types of probability and its axioms, and after presenting the basic terminology and how to evaluate the probability of an event in the simplest cases in the...

Set theory: Venn diagrams and Cardinality

To continue with the introduction to Set theory, in this second article we will learn about Van diagrams, cardinality, and some of its properties. Table of content: -Introduction -Venn diagrams -Cardinality -Conclusion [latexpage] Introduction: After learning about the relations between sets and...

Set Theory: Introduction

Set theory is one branch of mathematics that is concerned with the study of sets and their properties, size, and their inter-relations (like intersections and unions), in this article we will learn about set theory, the different operations on sets and cardinality, with some illustrating examples....