Mathematics

Trigonometric Identities

Trigonometric identities come in handy whenever trigonometric functions are involved in an equation or an expression. These identities are true for every value of variables occurring on both sides of an equation. Geometrically, they involve certain trigonometric functions (such as sine, cosine, and tangent) of one or more angles. Sine, cosine and tangent are known…

Whole Numbers

Here you will learn everything about Whole Numbers in arithmetic, starting from natural numbers and ending with operations on Whole Numbers. Also, see: Dedekind’s Theory of Real Numbers Natural numbers Natural numbers are regular numbers that we use to count objects or indicate the serial number of an object. For example, you can count the…

Set

What is a Set in Mathematics? A set is a well-defined collection of distinct objects. The theory of Set (now called the Set Theory), as a mathematical discipline, rose up with George Cantor, a German mathematician, when he was working on some problems in Trigonometric series and series of real numbers after he recognized the…

Circumcenter of a Triangle: Definition, Types and Examples

In geometry, we deal with different geometrical figures, and with the help of these geometrical figures, we can visualize the concept of the circumcenter. The circumcenter is the center of a special type of circle which is called the circumcircle. A circumcircle is a circle that passes through all the vertices of a polygon, most…

Significant Figures: Definition, Usage and Examples

"What are Significant Figures?", "What are they used for?", "What is their significance?" Students often ask these questions because why would you want to identify significant numbers, if you can do mathematical calculations without them, right? Where the idea of using significant figures might come off as unnecessary, it is a crucial concept that you…

Zero of a Function

Finding the zero of a function is one of the most frequently encountered problems in basic and advanced algebra classes. These entities are the values of x where f(x) is equal to zero. As you progress and improve your solving skills for the zeroes of functions, you will encounter problems of varying complexity. You regularly…

Best Time Saving Mathematics Formulas & Theorems

Formulas are the most important part of mathematics and as we all know one is the backbone of the latter. Considering there are thousands of mathematical formulas to help people develop analytical approach and solve problems easily — there are some that go beyond. Some formulas aren’t just timesaving but those also do wonders. In…

How to convert Integral Equations into Differential Equations?

Introduction In earlier parts we discussed the basics of integral equations and how they can be derived from ordinary differential equations. We also solved a linear integral equation using the trial method in the second part. Now we are in a situation from where the main job of solving Integral Equations can be started. But before we go…

Important Definitions in Functional Analysis

Are you getting started with Functional Analysis? If you are, you must be looking for some of the most important definitions in Functional Analysis. In this article, I have summarized those. Functional Analysis Functional analysis is the study of vector spaces endowed with some kind of limit-related structure (e.g. inner product, norm, topology, etc.) and…

How to change Differential Equations into Integral Equations?

This post explains the basic method of converting an integral equation into a corresponding differential equation.