Fri. Jun 14th, 2024

Math has advanced to a more significant extent. One of the earliest number systems was the Babylonian system. Here the stones and tally marks were employed to equal 60. Is it not amazing? 

As time proceeded, it was inevitable that people would create increasingly complicated methods of calculation and more advanced math. Whether math for astronomy (physics) or daily subjects such as addition, multiplication, division, and percentages, math is required to track your finances, and there are several degrees. Here, we will speak about the types of math or categories of math. 

What are the Mathematics Sub disciplines?

Mathematics is organized into several subfields. Each of them has a different study. Also, they require a unique set of skills. Arithmetic,  trigonometry, algebra, geometry, and calculus are the most common subfields of mathematics. Let us view each one in greater detail.

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Arithmetic is the simplest form of mathematics. It studies numbers and mathematical operations. Also, the lower-class students can deal with arithmetic’s. The fundamental of arithmetic processes is subtraction, multiplication,  addition, and division. But, you can now use more complex mathematical topics. The division includes algebra and geometry. Each of the operations is vital.


Algebra is a subfield of mathematics. You can find here equations and variables. In addition, students must solve the equation and get the values in variables. You can use it in several fields of life. Some of the valuable areas are Science and Engineering. 


The study of shapes and forms are termed geometry. Students in the primary level of school will be happy to see several different shapes and sizes. Geometric figures comprise circles, squares, triangles, rectangles, and more! 

Geometry’s fundamental notions include points, lines, segments, rays, angles, planes, and surfaces. Also, you will be able to learn about three-dimensional objects such as cubes and pyramids. You will also find cylindrical shapes in geometry. These are  Prisms, spheres, cones, plates, polyhedra, etc.


Angles and triangles are what trigonometry studies. The branch of math is used in solving engineering problems, navigating architecture, surveys, astronomy, and many more. 

Also, you can learn more signs such as Sine cosine, tangent cosecant cotangent inverse trigonometric functions,  and inverse tangents. These are the primary forms of trigonometric functions.


Calculus is a branch of mathematics for higher student grades. Also, it deals with rates of growth. You can use it in economics, science, engineering, and medicine.

Calculus provides enough help when we are on the verge of solving problems in ‘ change in quantity and the rate of change. Calculus is a significant and vast subject where you can get varying depths.

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Advanced Mathematical Fields

There are a large number of advanced branches within the major branches. Students in the middle level study these concepts. Also, it contains complex topics for which strong computing skills are required. Such specialized branches are as follows.

Here are the ten mathematical disciplines:

  1. Matrix Algebra
  2. Numerical Analysis
  3. Operations Research
  4. Complex Numbers
  5. Calculus
  6. Set Theory
  7. Game Theory
  8. Analysis
  9. Cartesian Geometry
  10. Combinatorics

Subdivisions of Pure Mathematics

Pure mathematics studies mathematical notions that are sales on arithmetic and algebra. Also, it is independent of any other concept. Here is a list of Pure Mathematics branches:

  • Algebra
  • Number Theory
  • Geometry
  • Arithmetic
  • Topology
  • Combinatorics
  • Mathematical Analysis

Applications of mathematics

Applied Mathematics creates a perfect blend of different fields of mathematics. Although it sounds effortless, specialists in pure mathematics ha to qualify several hurdles. They have good knowledge and a clear concept of several parameters of mathematics.

Here are the applied mathematics disciplines:

  • Statistics and Probability
  • Set Theory
  • Calculus
  • Trigonometry

Does the game of numbers fascinate you? Cant, you resist adding or multiplying each number you encounter? If yes, the profession in the field of mathematics is suitable for you. 

The profession that may suit you

Teacher/lecturer – 

Do you have a degree in mathematics? Do you teach your students in schools and college? Opt for a higher career if your teaching is restricted to private school. You can now appear for several tests and get a government job as a mathematics teacher. 

Also, you will get several examinations for post-graduate mathematics. There is an entrance examination for the post-graduate math teachers. 

Analyst/Scientist of Data –

A statistician collects data, transforms it into charts and graphs, and provides interpretations, which is essential in all professions.

A data analyst/scientist has similarities to a statistician. But there are particular distinctions. In Data Science, you will collect and compare data using scientific methods and provide relative solutions to an organization.


A mathematician has to get connections in all professional sectors. He has the skill of devising new business appraisal methodologies and formulas. It includes propelling rockets to the International Space Station.


A cryptographer encodes and decodes various symbols or modalities of communication. They do it to determine their meaning. In addition, they develop secure codes for the military and other organizations.


What are the four mathematical disciplines?

The four main branches of math are Algebra, Geometry, Calculus, and Statistics & Probability. These are the most vital fields.

What is the most challenging branch in mathematics?

The opinion may differ from person to person. However, most people say, Algebra is the most difficult area of math. Also, Abstract algebra is exceptionally challenging. It involves complicated and infinite spaces.

Who was the first mathematician?

The founder or maker of mathematics is Archimedes. He served the world between (287 BC – 212 BC)

Who discovered mathematics first?

There was evidence of written math calculations in history. That was during 3000 BC. At that time, people could not speak a particular language. They used sounds to communicate. However, it was believed that ancient Sumerians first discovered the subject.