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Mathematics is a branch of science that widens our knowledge on shapes, arrangements and questions that helps in getting logical answers to every practical issues. Studying Mathematics help us to report all the financial matters like expenses, incomes, profit and loss etc. of personal as well as professional life. Apart from this, Mathematical Knowledge is extensively used in findings, business and research. This is the reason that this subject is co-related with all other areas of studies i.e., Science, Finance, Research, Engineering, Medical, Economics, Arts, and many more.

The development of human civilization from the very beginning generated the need for providing coherent solution for number of complex questions and this is the reason that mathematics is introduced in the real world. Though only simple calculation were used in early days, but the formation of complex society and growing population added to the extensive study of every topic in Mathematics. This is the reason that presently Mathematics is one of the major subject in the curriculum of school as well as college students.

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Mathematics can be categorized into two broad area: Pure Mathematics and Applied mathematics. Pure mathematics provides key knowledge of this subject whereas applied mathematics include those subjects that can be applied in the tangible world.

**1. Analysis:** The area of analysis mainly includes the study, knowledge and idea on calculus. Calculus is the result of development in modern science that help us to construct simple model of change and hence infer the significance. The field of Calculus can be further classified into two major sub-field: Differential Calculus and Integral Calculus. Differential calculus describes about the ways of change in Differential quantities whereas integral calculus teaches the method of discovering indefinite integral to determine volume, length and area.

**2. Algebra:** It is the study of one or more operation that involves variables along with numbers, also termed as Algebraic expressions. Hence, this area of mathematics is mostly concerned with solving equations that involves the polynomial operation of one or more variables. It can be further divided into elementary algebra, abstract algebra and linear algebra. The recording of natural number along with integer and arithmetic procedure is sectioned under elementary algebra whereas the process of solving the given equation is included under abstract algebra. Linear algebra encompasses the ideas and notion on vectors.

**3. Geometry:** Geometry is the study of shapes, its properties, and configuration. It is also an axiomatic study of associated geometrical objects. It can be further sectioned into conventional Geometry, Algebraic Geometry, Discrete Geometry and many more.

**4. Arithmetic:** Arithmetic is study of number. It can also be called as the branch of Mathematics that deals with numbers.

**Physical science:**Use of mathematics to provide a logical explanation to findings and research in Physics.**Computational science:**Use of mathematical knowledge in computational field for demonstration and simulation.**Statistics:**The Mathematical representation and explanation of Statistical data or collected information.**Probability:**The study of event that is likely to happen is termed as mathematical study of probability.

These are few areas listed here for specialization in Mathematics.