How many parts of mathematics ?

Among the ways to divide the field of mathematics is by field of application. There are many books and courses in schools labeled "Engineering mathematics", "Financial mathematics", "Mathematics for social scientists", and so on. While it is perhaps easier for the reader to have the material pre-filtered according to application, this hides the fact that the underlying mathematics is really quite similar.

Arithmetic

is the oldest and most elementary branch of mathematics, used by almost everyone, for tasks ranging from simple day-to-day counting to advanced science and business calculations. It involves the study of quantity, especially as the result of operations that combine numbers. In common usage, it refers to the simpler properties when using the traditional operations of addition, subtraction, multiplication and division with smaller values of numbers.

Algebra

While the word algebra comes from the Arabic language (الجبر al-jabr "restoration") and much of its methods from Arabic/Islamic mathematics, its roots can be traced to earlier traditions, which had a direct influence on Muhammad ibn Mūsā al-Khwārizmī (c. 780–850). He later wrote The Compendious Book on Calculation by Completion and Balancing, which established algebra as a mathematical discipline that is independent of geometry and arithmetic.

Trigonometry

is a branch of mathematics that studies triangles and the relationships between their sides and the angles between these sides. Trigonometry defines the trigonometric functions, which describe those relationships and have applicability to cyclical phenomena, such as waves. The field evolved during the third century BC as a branch of geometry used extensively for astronomical studies

Numerical Methods

Numerical analysis continues this long tradition of practical mathematical calculations, Numerical analysis naturally finds applications in all fields of engineering and the physical sciences, but in the 21st century, the life sciences and even the arts have adopted elements of scientific computations, modern numerical analysis does not seek exact answers, because exact answers are often impossible to obtain in practice.

Geometry Reference Formula

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Geometry (Greek γεωμετρία; geo = earth, metria = measure) is a part of mathematics concerned with questions of size, shape, and relative position of figures and with properties of space, this science can be found from Egypt, Mesopotamia.

you can looking more about geometry here, picture below shown the basic formula and calculation of basic shape.
1. Polygon Shape


2. Triangle
Here are three different types of triangles:

the triangle type is :
a. Scalene triangles have no equal sides and therefore no equal angles.
b. Isosceles triangles have two equal sides, which means they also have two equal angles
c. Equilateral triangles are a model of uniformity, the interior angles are always 60˚.

Triangles and Pythagoras

A Pythagoras triangle is a triangle with one 90˚ interior angle (called a right angle). Because the angles of a triangle must total 180˚


for learn more about Geometry and trigonometry you should download PDF file tutorial here

2D Geometry Formula Download
you should download 2D list of geometry formula here, this geometry formula list include, triangle, circular ring, elips, circular ring and others.

You also can download Plane Geometry Formulas by clicking this link

for 2D and 3D geometry formula list you can download from http://www.austincc.edu/by clicking this link

for volume geometry formula list you can download from this link


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