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...
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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...
Permutations & Combinations made easy!
Combinatorics This lesson covers the topics of combinatorics (combinations, permutations with and without repetitions, circular and constrained permutations). It will equip you with all the necessary theoretical knowledge on the topic, and show how it is applied in standardized test problems....
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...
Probability: Terminology and Evaluating Probabilities
After introducing the branch of probability theory in the previous article and presenting an explanation for what is a probability, the main types of probability, and some examples of the fields where it is used; in this article, we will learn about the terminology and how to determine 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....