Mathematics is vital to our everyday lives. There are manymath app🇧🇷 We cannot imagine a well-organized world without the use of mathematics. Recently, there has been limited study of mathematics.
But in recent years, mathematics has developed into several branches. Branches of mathematics are evolving to make significant contributions to the field of technology. So there are many branches of mathematics that exist in the real world.
Nowadays, mathematics starts from elementary level to advanced level which helps in the latest computer technology. Therefore, theimportance of mathematicsIt will be essential for students.
Therefore, it becomes crucial that students clear their doubts about the different branches of mathematics. However, in this blog, we will learn some important 10 branches of mathematics. Scroll down to learn about the different branches of mathematics.
branches of mathematics
table of contents
Mathematics is a complicated subject. Includes interrelated themes and overlapping concepts. A thorough analysis of the subfields of mathematics helps students to clearly organize their concepts and build a solid foundation. Knowing the differences and meaning of each branch helps students methodically study various mathematical concepts.
Below are the main branches of mathematics. These strands are essential for building a solid foundation in mathematics.
10 branches of mathematics
pure mathematics
It is the fundamental study of mathematical concepts. We use it to study many concepts outside of mathematics. It was created to solve real problems. The real number obtained for purely mathematical calculation is used for practical applications.
arithmetic
Arithmetic is the oldest branch of mathematics. It is used to deal with numbers, e.g. B. From 0 to 9, even numbers, odd numbers, prime numbers or any other. Contains the basic operations for adding, subtracting, multiplying and dividing. Arithmetic is used by everyone, from students to professionals. Also, we use it to do basic calculations in our daily lives. It is the basis of pure mathematics.
Let's give an example of a basic arithmetic formula along with the relevant example. The following formula is used to calculate the average of the given number.
The scores obtained by 5 students on a test are 25,30,40,25,20. Calculate the average grade of the 5 students.
Average grades can be calculated using the formula above.
X = (25+30+40+25+20)/5
= 140/5 = 28
Therefore, the average grade of the 5 students is 28.
Algebra
It is one of the main branches of pure mathematics. We use the English alphabet to give the algebraic values. We use it to find the unknown unknown value in algebraic expressions and equations.
In addition, there are many slide rules, relations and constructions, algebraic structures and polynomial equations in algebra. The essential part of algebra is known as elementary algebra.
We use it to represent numbers. Algebra is more than elementary algebra. It is also applicable to various structures such as groups, rings and fields.
Some of the basic formulas of algebra are:
(a + b)^2 = a^2 + 2ab + b^2a^2 – b^2 = (a – b)(a + b)a^2 + b^2 = (a + b)^2 – 2ab(a + b + c)^2 = a^2 + b^2 + c^2 + 2ab + 2bc + 2ca(a – b)^2 = a^2 – 2ab + b^2(a – b – c)^2 = a^2 + b^2 + c^2 – 2ab + 2bc – 2ca(a – b)^3 = a^3 – 3a^2b + 3ab^2 – b^3 = a^3 – b^3 – 3ab(a – b)(a + b)^3 = a^3 + 3a^2b + 3ab^2 + b^3 o (a + b)^3 = a^3 + b^3 + 3ab(a + b)a^3 + b^3 = (a + b)(a^2 – ab + b^2)a^3 – b^3 = (a – b)(a^2 + ab + b^2)a^4 – b^4 = (a – b)(a + b)(a^2 + b^2)(a – b)^4 = a^4 – 4*a^3*b + 6*a^2*b^2 – 4ab^3 + b^4(a + b)^4 = a^4 + 4*a^3*b + 6*a^2*b^2 + 4a* b^3 + b^4a^5 – b^5 = (a – b)(a^4 + a^3*b + a^2b^2 + ab^3 + b^4)
Calculate the value of 19^2 - 5^2
Using the formula a2 – b2 = (a – b)(a + b)
here a = 19 and b = 5
(a-b)(a + b)
= (19 – 5)(19 + 5)
= 14 × 24
= 336
Geometry
Geometry is one of the higher and more practical branches of mathematics. In other words, we can easily get a reasonable understanding of real-world geometry. It deals with shapes and sizes of figures and their properties.
Geometry includes points, lines, angles, surfaces, solids, and shapes. All industries use geometry to meet their daily needs. Industrial manufacturing relies on geometry. Even if you are walking down the street, use geometry to find your way using GPS.
Some of the basic geometry formulas are:
Perimeter of a rectangle = P = 2(l+b)Perimeter of a square = P = 4aArea of ​​a rectangle = A = l×Area of ​​a square = A = a^2Area of ​​a triangle = A = ½×b×harea of a circle = A = π×r^2Perimeter of a circle = A = 2πrArea of ​​a trapezoid = A = ½×(b1 + b2)×hSurface of a cube = S = 6a^2Curved surface of a cylinder = 2πrhVolume of a cylinder = V = π* r^2*the total area of ​​a cylinder = 2πr(r + h)
A circle has a radius of 5 cm. Find the diameter, perimeter and area.
given radius is,
r = 5 cm
The diameter of a circle will be
2r
= 2 × 5 cm
= 10cm
The circumference of the circle will be
2 per person
= 2 × π × 5
= 31,4 cm
the area of ​​a circle will be
r ^ 2
= π × 5 × 5
= 78,5 cm2
Trigonometry
Trigonometry deals with the upper class of mathematics. It derives from two Greek words, namely, trignon (meaning triangle) and metron (meaning measure). We use it to study the relationships between angles and sides of triangles.
In other words, it is directly related to geometry. Also, when the world was looking for a solution that could not be solved with arithmetic, algebra and geometry, trigonometry came along.
Some of the basic formulas for trigonometry are:
| Occupation | Property | mathematical value |
| which | opposite/hypotenuse | |
| because a | adjacent/hypotenuse | |
| so to | opposite/adjacent | Ohne a/ why a |
| Cosec a | 1/opposite/hypotenuse | 1/ Ohhne a |
| Second. The | 1/adjacent/hypotenuse | 1/ good for |
| cradle and | 1/opposite/adjacent | 1/ after until |
calculation
Analysis was developed by Isaac Newton and Gottfried Leibniz in the 17th century. It is used to handle instantaneous exchange rate calculations. We also use it to add small factors to find the whole number.
It is used for limits, functions, derivatives, integrals and infinite series. There are two types of calculus, namely differential calculus and integral calculus. Analytics is used in science, business, and engineering.
Some of the basic formulas for calculation are:
| differential calculation | integral calculus |
 |  |
Number Theory
We use it to deal with the property and relations of the number of positive integers. It is one of the crucial branches of pure mathematics. It is used to study integers and integer functions. In addition, we also use it to study natural numbers, integers and primes.
Two prime numbers are the prime numbers that differ exactly by 2. Following are some of the twin primes:
5, 7
3, 5
11, 13
29, 31
17, 19
41, 43
Applied Mathematics
The term applied mathematics is also known as advanced mathematics. These are numerical calculations in computing. It is used to express mathematical problems.
Today it is used in some of the most prominent technologies such as modeling and simulation. For example, we use it to test prototype train engines. Most computer testing software is based on applied mathematics. Applied mathematics uses mathematical physics.
odds and statistics
Probability and statistics are linked. Both are important components of applied mathematics. Probability is used to examine uncertain events and knowledge.
Whenever we have the conclusion of the unknown data, we useprobability🇧🇷 Probability is used in the predictions area. On the other hand,the statisticsit's science. We use it to collect the data and analyze it based on some predetermined criteria.
Dynamic systems and differential equations
If we want to study the unknown functions and their derivatives, we use thedifferential equation🇧🇷 On the other hand, the dynamic system has a fixed rule. We use it to describe the swing of a clock pendulum, the flow of water in a pipe, and anything else that is dynamic in nature.
Mathematical physics
Mathematics is widely used in physics. Mathematical physics is developed to solve physics problems. Today it is widely used in some applications based on physical theory. Also, integration, differentiation, integrals and derivatives are widely used in physics.
calculation
Mathematics is widely used in computing. This branch of mathematics is called arithmetic. It includes the study of algorithms, data structure and engineering, and scientific computer science. It is also about the methods by which computer problems are solved with the help of mathematics.
The areas of mathematics and computer science overlap in computer science, the study of algorithms and data structures, and in scientific computing, the study of algorithmic methods for solving mathematical, scientific, and technical problems.
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Magic math tricks for kids to do tedious calculations in seconds!
Let's find some interesting tricks. These tricks will help you to solve your problems in seconds.
Now let's look at some interesting questions related to mathematics.
Answers to some interesting questions.
Which math is good for management related areas, applied math or pure math?
Both branches of mathematics have their own uses. But degrees like business administration, human resource management, accounting and economics require calculus and statistics. These two branches of mathematics are included in Pure Mathematics. So it would be better if you have an effective knowledge of pure mathematics.
Which branch of the Engg Diploma has the least use of mathematics?
Primavera,Engineering is math.🇧🇷 Students have to deal with math somewhere and somehow. However, it has been found that the CS (Computer Science) Engineering Degree has the least amount and the simplest math as compared to other branches of engineering like Mechanical Engineering. Therefore, we can say that CS Diplom Engg is the only branch with less use of mathematics.
Which branch has more math and science, computer science or electrical engineering?
Undoubtedly, electrical engineering involves the greatest use of mathematics and science. There are several subjects like Signal and System (SAS), Electromagnetism etc. that deal with science and mathematics at the same time.
But it also varies according to the university/college/institute curriculum. But it's pretty clear that electrical engineering has the most math and science subjects to study.
conclusion
Now let's connect our words about the branches of mathematics. More branches will definitely add to the math. But here in this blog, we have mentioned the crucial ones that can be used by both beginners and professionals alike. Math is everywhere; You can implement it at any time. So what are you waiting for?
Start applying these basic branches of math and start getting good at it. But if you still have trouble understanding these ramifications, you can get help from math experts. we offer the besthelp with math homeworkto students. take the best offeronline math homework helpto improve your grades.
Answers to some interesting questions.
Which math is good for management-related areas: applied math or pure math?
Both branches of mathematics have their own uses. But degrees like business administration, human resource management, accounting and economics require calculus and statistics. These two branches of mathematics are included in Pure Mathematics. So it would be better if you have an effective knowledge of pure mathematics.
Which branch of the Engg Diploma has the least use of mathematics?
Primavera,engineering around math🇧🇷 Students have to deal with math somewhere and somehow. However, it has been found that the CS (Computer Science) Engineering Degree has the least amount and the simplest math as compared to other branches of engineering like Mechanical Engineering. Therefore, we can say that CS Diplom Engg is the only branch that uses less mathematics.
Which branch has more math and computer science or electrical engineering?
Undoubtedly, electrical engineering involves the greatest use of mathematics and science. There are several subjects like Signal and System (SAS), Electromagnetism etc. that deal with science and mathematics at the same time. But it also varies according to the university/college/institute curriculum. But it's pretty clear that electrical engineering has the most math and science subjects to study.
common questions
Who is the father of mathematics?
Archimedes is considered the father of mathematics. His birthplace was Syracuse, the Greek island of Sicily. He lived from 287 B.C. - 212 BC
What is the most difficult branch of mathematics?
Abstract algebra is considered to be the most complicated mathematical subject that is not easy to learn. N-space algebra offers an incredibly difficult aid to improving your ability to see infinite mathematical dimensions.
FAQs
What are the 5 main branches of mathematics? ›
- Algebra.
- Geometry.
- Trigonometry.
- Calculus.
- Statistics and Probability.
- Number, Operations, Rates and Ratio.
- Geometry and Measurement.
- Data and Probability.
- Algebra and Functions.
Algebra is the hardest branch of Maths. Abstract algebra particularly is the most difficult portion as it includes complex and infinite spaces.
How many branches of mathematics are there? ›Among the principal branches of mathematics are algebra, analysis, arithmetic, combinatorics, Euclidean and non-Euclidean geometries, game theory, number theory, numerical analysis, optimization, probability, set theory, statistics, topology, and trigonometry.
In what order should I learn mathematics? ›- Algebra 1.
- Geometry.
- Algebra 2.
- Trigonometry.
- Pre-Calculus.
- Calculus.
- Advanced Placement Classes.
Calculus
One of the most complex and highly advanced branches of mathematics, which in fact itself has levels to it, be it Pre-calculus, advanced calculus, Accelerated Multivariable Calculus, differential calculus, integral calculus, etc.
GEOMETRY: This is one of the most favorite and easiest branches of mathematics. This branch deals with the shapes and sizes of figures and their properties. Point, line, angle, surface, and solid entities constitute the basic elements of geometry.
What is the highest math class? ›- Algebra 1.
- Geometry.
- Algebra 2/Trigonometry.
- Pre-Calculus.
- Calculus.
- Statistics.
- Trigonometry.
- Calculus.
- Advanced Linear Algebra.
- Game Theory.
There are many branches of mathematics namely Algebra, Geometry, Arithmetic, Trigonometry, calculus etc. Algebra is from the Arabic word al-jabr which means a reunion of broken parts. It is one of the broad parts of mathematics.
Which branch of mathematics is called Queen of mathematics? ›
As it holds the foundational place in the discipline, Number theory is also called "The Queen of Mathematics". Description: The number theory helps discover interesting relationships between different sorts of numbers and to prove that these are true .
What are the 4 basic mathematics? ›- Addition (Finding the Sum; '+')
- Subtraction (Finding the difference; '-')
- Multiplication (Finding the product; '×' )
- Division (Finding the quotient; '÷')
--addition, subtraction, multiplication, and division--have application even in the most advanced mathematical theories. Thus, mastering them is one of the keys to progressing in an understanding of math and, specifically, of algebra.
What are the 4 main things in math? ›Addition, subtraction, division and multiplication
Knowing these operations is essential for handling money: Addition: It involves adding two or more numbers together.
Calculus: Calculus is perhaps the most used branch of mathematics in everyday life.