Mathematics is a science that particularly deals with shapes, numbers, and arrangements. It is used everywhere in our day-to-day life or we can say this is the building block whatever we do. Either it is smartphones, construction, buildings, artwork, money, sports, or engineering, etc., the application of mathematics can be seen everywhere.

This is not a new concept but this into existence since the time of our existence. Mathematical concepts also started developing with our development and they are used today in most all primitives of cultures. Based on the society needs, the mathematical could be highly complex or simpler. You would be surprised to know that position of the sun and its distance from earth was possible to calculate with mathematical formulas only. This is just a simple example but its presence can be felt everywhere around us in our daily lives.

Math is not an effort of a single expert but the contribution of a number of mathematicians that we know today. They developed calculus, arithmetic, roots, cubes, pyramid, and many more things. In India, the concept of zero was discovered and America contributed in designing of calendar systems.

With the development of society, the geometry concepts came into existence to calculate the area, volume, surface area, perimeter, radius, circumferences, and angular measurements etc. Today, geometry concepts are used everywhere from construction to fashion and the interior designing.

Now comes algebra that was started in the 9^{th} century and methods for quick addition, subtraction, multiplication, and the division was also started during the same time. Further, a depth understanding of algebra is necessary to solve the linear equation and graph it. Then mathematicians started looking at number theory and theorems later.

Greek developed the concept of abstract Math with the help of geometry. Since the ancient times, Greek is a model of mathematical achievements in modern times too. Greek mathematicians were appointed everywhere in schools, colleges to explain the Math concepts clearly and nicely.

Additionally, Greek marked a strong presence in the history of mathematics and they explained nicely how to visit the timeline by using a variety of mathematical concepts. Even the trigonometry concepts that heavily relied on synthetic geometry were started by Greek mathematicians like Euclid. He gave the rules to calculate the sum and differences of the different trigonometric functions. Further, Trigonometry can also be applied to astronomy to compute angles in the celestial sphere.

Math has touched almost every part of the world including Arabs, Europe, China etc. European mathematicians were also the strong contributors to derive arithmetic, algebra theories, and geometry concepts. One of the important mathematics topics is Calculus.

The calculus was discovered in 17^{th} century by Isaac Newton and Gottfried Leibniz whose invention went through the three phases – anticipation, development, and the rigorization. In the anticipation stage, mathematical techniques were started to find areas and maximize certain qualities. During the development stage, these techniques were put together through derivatives and integrals. At the rigorization stage, mathematicians were able to justify formulas and the final stage of the Calculus. Today, we define integral or derivatives in terms of limits.

Math is not limited to theoretical or continuous mathematics approach but you must have heard of discrete mathematics too. This is a branch of mathematics that deals with objects by assuming different values for the same. It can also be characterized through integers or real numbers. Discrete mathematics is the language of computer science that involves the study of algorithms. It also includes the study of graphs, number theory, and computation theory etc.

Now, you must be confused about how maths can be used in real-life applications. Surprisingly, applied mathematics is not relevant but it has become crucial choice today. The application of applied mathematics can be seen everywhere around like physics, biology, sociological world and much more. The applied mathematics was started with a though of solving difficult problems in science, aerospace engineering, control theory, or finance sector etc. The application of applied mathematics is not just limited to solve problems but it can be utilized to develop new engineering disciplines too.

The applications of pure mathematics are also valid in the real-world and deeper understanding of different Mathematics topics may help you in finding roots of physical problems. This was Math only who laid the groundwork for computer designing. So, applications of Math are not just limited to the physical world but they can be used in theories and discovery of scientific items too.

Based on the discussion, this is clear that applied math is useful for construction of theories while pure Math is used to prove theories. They are used in different areas of Mathematics with a fabulous problem-solving approach. In early schools, only the basic concepts are learned by students and the advanced mathematics is the part of higher studies.

- Arithmetic
- Algebra
- Calculus
- Geometry
- Combinatorics
- Logic
- Probability
- Statistics
- Combinatorics
- Number
- Computation

Here, we have given the complete list of mathematics topics for your reference You just have to click on the topic link and start learning right away.

- MidPoint Theorem
- Stewart’s Theorem
- Cyclic Quadrilateral Theorem
- Apollonius Theorem
- Quadrilateral Theorem
- Binomial Theorem
- Remainder Theorem
- Inscribed Angle Theorem
- Ceva’s Theorem
- Angle Bisector Theorem
- Bayes Theorem
- Pythagoras Theorem

Sometimes, Math is Fun and sometimes it could be a surprising fact too. In our routine life, you can check the best route to your school, you can check where more discounted products are available in the market, and you can check which bank can offer the superior interests. This is all about calculation and connecting dots that we are able to find the solution.

\[\ Area\;of\;Square = l^{2} \] l=Length of side

\[\ Area\;of\;Rectangle = w\times h \] w=width, h=height

\[\ Area\;of\;Triangle = \frac{b\times h}{2} \] b=base, h=height

\[\ Area\;of\;Rhombus = \frac{D\times d}{2} \] D=Large diagonal, d=small diagonal

\[\ Area\;of\;Trapezoid = \frac{B+b}{2}\times h \] B=Large side, b small side, h=height

\[\ Area\;of\;Regular\;polygon = \frac{P}{2}\times a \] P=Perimeter, a=Apothem

\[\ Area\;of\;Circle = \pi r^{2} \] r=radius

\[\ Area\;of\;Cone = \pi r\times s \] r=radius, s= slant height

\[\ Area\;of\;Sphere = 4\times \pi r^{2} \] r radius

\[\ Volume\;of\;Cube = S^{3}\] S=Side

\[\ Volume\;of\;Parallelepiped = l\times w\times h\] l=lenght, w=width, h=height

\[\ Volume\;of\;Regular prism = b\times h\] b=base, h=height

\[\ Volume\;of\;Cylinder = \pi r^{2}h\] r=radius, h=height

\[\ Volume\;of\;Cone = \frac{1}{3}b\times h\] b=base, h=height

\[\ Volume\;of\;Sphere = \frac{4}{3}\pi r^{3} \] r=radius

\[\ Area\;of\;Rectangle = w\times h \] w=width, h=height

\[\ Area\;of\;Triangle = \frac{b\times h}{2} \] b=base, h=height

\[\ Area\;of\;Rhombus = \frac{D\times d}{2} \] D=Large diagonal, d=small diagonal

\[\ Area\;of\;Trapezoid = \frac{B+b}{2}\times h \] B=Large side, b small side, h=height

\[\ Area\;of\;Regular\;polygon = \frac{P}{2}\times a \] P=Perimeter, a=Apothem

\[\ Area\;of\;Circle = \pi r^{2} \] r=radius

\[\ Area\;of\;Cone = \pi r\times s \] r=radius, s= slant height

\[\ Area\;of\;Sphere = 4\times \pi r^{2} \] r radius

\[\ Volume\;of\;Cube = S^{3}\] S=Side

\[\ Volume\;of\;Parallelepiped = l\times w\times h\] l=lenght, w=width, h=height

\[\ Volume\;of\;Regular prism = b\times h\] b=base, h=height

\[\ Volume\;of\;Cylinder = \pi r^{2}h\] r=radius, h=height

\[\ Volume\;of\;Cone = \frac{1}{3}b\times h\] b=base, h=height

\[\ Volume\;of\;Sphere = \frac{4}{3}\pi r^{3} \] r=radius

Commutative

\[\ A\cup B = B\cup A \]

\[\ A\cap B = B\cap A \]

Associative

\[\ A\cup (B\cup C) = A\cup (B\cup C) \]

\[\ A\cap (B\cap C) = A\cap (B\cap C) \]

Neutral element

\[\ A\cup \theta = A \]

\[\ A\cap E = A \]

Absorbing element

\[\ A\cup E = E \]

\[\ A\cap \theta = \theta \]

Distributive

\[\ A\cup (B\cap C)=(A\cup B)\cap (A\cup C) \]

\[\ A\cap (B\cup C)=(A\cap B)\cup (A\cap C) \]

De Morgan’s laws

\[\ \bar(A\cap B) = \bar A \cup \bar B \]

\[\ \bar(A\cup B) = \bar A \cap \bar B \]

Independent Events

\[\ P(A | B)=P(A) \]

\[\ P(A\cap B)=P(A)×P(B)\]

Conditional Probability

\[\ P(A | B)=\frac{P(A\cap B)}{P(B)} \]

Laplace laws

\[\ P(A)=\frac{Number\;of\;ways\;it\;can\;happen}{Total\;Number\;of\;Outcomes} \]

Complement of an Event

\[\ P(\bar A)=1 – P(A)\]

Union of Events

\[\ P(A\cup B)=P(A)+P(B)−P(A\cap B)\]

Learning Math is not easy and this is the reason why we have discovered unique ways to amplify your learning. We have given easy definitions and formulas of different mathematical concepts so that you can learn them at your fingertips quickly. Also, we have hosted a large sheet of formulas for your reference so that you can memorize them and apply wherever needed.

You just have to click on the topic and get all relevant details and formulas with a simple navigation. Also, we have discussed the applications of different mathematical concept in the real-life and how it can help students in their career. Well, formulas can be simpler or complex based on the topic you selected but there is need of depth understanding of each of the formula to solve a particular problem.