“The study of mathematics, like the Nile, begins in minuteness but ends in magnificence.” – Charles Caleb Colton

Now You Might Be Wondering What Are the Dimensions of Mathematics? Consider a Example just like in the case with Physics we use different axis as Reference to define our Study of Space

 

with help of Co-ordinate System(Cartesians co-ordinate) and same with the study of Time we use different Dimensions of Time to study the Mysteries of This Cosmos.

 So You ever Wondered if we had different Dimensions of Times?

 The Answer to this is YES, there are different Dimensions of Mathematics too , one such Dimension you all would be familiar with is the number line itself or the 1st Dimension of Mathematics

FIRST DIMENSION OF MATHEMATICS-  Our Understanding of Mathematics has started with the number line. All the Numbers whether Rational/Irrational , Integers/Negative Integers, Decimals/Fractions, Even/Odd or if it is 0 / Infinity. Everything we know lies on this Number line. now if we Observe Number line is Nothing but a Linear Arrangements of Points in A Single Direction.

So Till Now You Must be Cleared about the fact that the 1st Dimension Of Mathematics is Nothing but the Number line that we use daily. 

Now what if I tell you that Mathematics has 2 more Dimensions!

 YES Mathematics also consists of 0 Dimension and 2nd Dimensions! So lets discuss about the other two Dimensions of Mathematics too

ZERO DIMENSION OF MATHEMATICS- Every Dimension needs in its Essence the Zero Dimension. This further means that the Zero Dimension contains Every Other Dimension.

So the Zero Dimension is not only the NOTHINGNESS, It also is EVERYTHING. But as we Already Knew the Concept of Dimensions that there are Dimensions in Physics Dimension in time so it could also be possible that there Exists a Dimension in Mathematics which would be guiding whole of our Mathematics. The Idea of these Mathematical Dimensions are extraordinary as we only deal to our number line in doing our Whole Mathematics but where are 0 Dimension in Mathematics? For a Rough Overview when you divide any number by zero You see there are Miracles happenings in Mathematics you can prove 1 = 100 , 2 = 500 etc. So Basically When You Divide by Zero our Whole Number line Collapse in a Single Point (Compress into a Single Point ) and that is our 0th Dimension Of Mathematics.

Now Last but not the Least

SECOND DIMENSION OF MATHEMATICS- Second Dimension is a Complex Number line. Let's see what actually are they, A Complex Number is the sum of a Real number and an Imaginary number. A Complex number is of the form a + ib and is usually represented by z. Here both a and b are real numbers. The value 'a' is called the Real part which is denoted by Re(z), and 'b' is called the imaginary part Im(z). Also, ib is called an Imaginary number.

Complex Numbers are helpful in finding the Square Root of Negative Numbers. The Concept of Complex numbers was first Referred to in the 1st century by a Greek Mathematician, Hero of Alexandria when he tried to find the square root of a Negative Number. But he merely changed the Negative into Positive and Simply took the Numeric Root Value. Further, the Real Identity of a Complex Number was defined in the 16th century by Italian mathematician Gerolamo Cardano, In the Process of finding the Negative Roots of Cubic and Quadratic Polynomial Expressions. Complex Numbers have Applications in many Scientific Research, Signal Processing, Electromagnetism, Fluid Dynamics, Quantum Mechanics, and Vibration Analysis. Here we can understand the Definition, Terminology, Visualization of Complex Numbers, Properties, and Operations of Complex Numbers. The Alphabet i is Referred to as the Iota and is helpful to represent the Imaginary part of the Complex Number. Further the iota(i) is very helpful to find the Square Root of Negative Numbers. We have the value of i² = -1, and this is used to find the value of √-4 = √i²4 = +2i The value of i²= 1 is the Fundamental Aspect of a Complex Number.

I Would like to Conclude This Blog by a Quote-

It is Impossible to be a Mathematician without Being a Poet in Soul.

— Sofia Kovalevskaya