The Comprehensive Guide on Branches of Mathematics

1. The Comprehensive Guide on Branches of Mathematics 01 Presented By: Stat Analytica

2. Overview Mathematics is crucial for our daily life. We can’t imagine a well-organized world without the use of mathematics. In recent times there was a limited study of mathematics. But over the last few years, mathematics has developed with diverse branches. Mathematics branches are kept developing to make considerable contributions to the technology field. Therefore there are plenty of mathematical branches that exist in the real world. Nowadays, mathematics starts from the basic to the advanced level that is helping in the latest computer technology. Thus it becomes crucial for the students to clear their doubts between the different branches of mathematics. 02 Stat Analytica

3. Branches of Mathematics Pure Math 03 Applied Math

4. Pure mathematics It is the basic study of mathematical concepts. We use it to study many concepts outside mathematics. It originated to solve real-world problems. The real obtained for the pure math calculation is used for practical applications. 04

5. Arithmetic Arithmetic is the most ancient branch of mathematics. It is used to deal with the numbers i.e., 0 to 9, even odd, prime, or anything. It contains the basic operation to add, subtract, multiply, and divide. Arithmetic is used by everyone, from students to working professionals. Besides, we use it to perform the basic calculations in our daily life. It is the foundation of pure mathematics. 05

6. Pure mathematics It is the basic study of mathematical concepts. We use it to study many concepts outside mathematics. It originated to solve real-world problems. The real obtained for the pure math calculation is used for practical applications. 06

7. Geometry Geometry is one of the high and practical branches of mathematics. In other words, we can easily have a reasonable understanding of geometry from the real world. It deals with the shapes and sizes of figures and their properties. Geometry involves points, lines, angles, surfaces, solids, and shapes. Every industry is using geometry to fulfill their daily requirements. The Industrial manufacturing industry depends on geometry. Even when you walk on the road, you also use geometry to find your ways of using GPS. 07

8. Trigonometry Trigonometry deals with the higher class of mathematics. It is derived from two Greek words i.e., trignon (meaning a triangle) and metron (meaning a measure). We use it study relationships between angles and sides of triangles. In other words, it is directly connected with geometry. Besides, when the world was looking for a solution that couldn’t be solved by the use of arithmetic, algebra, and geometry, then trigonometry came into existence. 08

9. Calculus Calculus was developed by Issac Newton and Gottfried Leibniz in the 17th century. It is used to deal with the instantaneous rates of change calculations. We also use it for the summation of small factors to determine the whole number. It is used for limits, functions, derivatives, integrals, and infinite series. There are two types of calculus i.e., differential calculus and integral calculus. Calculus is used in science, economics, and engineering. 09

10. Analysis The basic branch of analysis is calculus. We use it to deal with the study of the rate of change in different quantities. Apart from that, it is used to study the functions and limits. We use the analysis for the use of infinite processes that is the passage to a limit. It is used to solve the measuring lengths, areas, volume, and other quantities. 10

11. Number theory We use it to deal with the number of positive integers property and relationships. It is one of the crucial branches of pure math. It is used to study the integers and integer-valued functions. Apart from that, we also use it to study the natural, whole numbers, and prime numbers.Logic 11

12. Logic It is used as the foundation of underlying mathematical logic. We use it to formalize valid reasoning. 12

13. Combinatorics It is used to study discrete objects. In this, we use to count the object to meet the specific criteria. We also construct and analyze objects to meet the specific criteria. In this, we find the smallest, largest, and optimal objects. We also test to find the algebraic structure of these objects. 13

14. Topology Topology is extensive in geometry. It is used to find out those properties of the shapes that can’t be changed even if the figure dimension is changed completely. 14

15. Topology Topology is extensive in geometry. It is used to find out those properties of the shapes that can’t be changed even if the figure dimension is changed completely. 15

16. Applied Mathematics The term applied mathematics is also known as advanced math. It involves numerical computations in computer science. It is used to express mathematical problems. Nowadays, it is used in some of the most excellent technologies, such as modeling and simulation. For example, we use it to test the train engine prototypes. Most of the computer testing software is based on applied math. 16

17. Dynamical systems and differential equations 17 When we want to study the unknown functions and their derivatives, then we use the differential equation. On the other hand, the dynamic system has a fixed rule. We use it to describe the clock pendulum swinging, the water flow in a pipe, and any other thing which is dynamic in nature.

18. Mathematical physics Mathematics is widely used in the field of physics. Mathematical physics is evolved to solve problems in physics. Nowadays, it is widely used in some of the applications which are based on physical theories. Besides, integration, differentiation, integrals, and derivatives are widely used in physics. 18

19. Mathematical physics Mathematics is widely used in the field of physics. Mathematical physics is evolved to solve problems in physics. Nowadays, it is widely used in some of the applications which are based on physical theories. Besides, integration, differentiation, integrals, and derivatives are widely used in physics. 19

20. Computation Mathematics is widely used in computer science. This branch of mathematics is known as computation. It involves the study of algorithms, data structure, and scientific computing.science and engineering. Apart from that, it involves the methods i.e., used to solve computer science problems with the help of mathematics. 20

21. Information theory and signal processing Information theory is another crucial branch of applied mathematics. It is used for the quantification of information. It is used to find the best ways to send reliable data efficiently. On the other hand, signal processing is popular to analyze, interpret, and signal manipulations. It is used for many kinds of signals, such as biological signals, radar signals, and many others. 21

22. Probability and statistics Probability and statistics are interrelated with each other. Both of these are important part of applied math. Probability is used to study uncertain events and knowledge. Whenever we are going to have the conclusion for the unknown data, then we use probability. Probability is used in the field of predictions. On the other hand, statistics is the science. We use it to collecting the data, analyzing the data on the basis of some given criteria. 22

23. Conclusion Imagine a positive outcome and it's likelyMore branch will definitely add in mathematics. But here in this blog, we have mentioned the crucial one that can be used by the beginners as well as from the professional one. Math is everywhere; you can implement it anytime. So what are you waiting for? Start applying these basic mathematics branches and start getting a good command over them. to go that way 23

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