Mathematics is a subject of rationality, the science of structural relation and order that has originated from elemental practices of counting, measuring, and explaining the shapes of objects. In addition, it deals with quantitative calculation and logical reasoning. Mathematics thus simply means to study, to learn or gain knowledge. The theories given in mathematics help us understand and solve different kinds of problems in academic as well as in real life situations. Solving mathematical problems is perhaps the best brain exercise.
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Now that you are aware of what mathematics is, let’s get to know about the evolution of this historical subject. The development of mathematics has involved an increasing intensity of idealization and abstraction of its subject matter. The subject has been explored by a number of mathematicians around the world since centuries, in distinct civilizations. Archimedes (287-212 BC), from the BC century is remembered as the Father of Mathematics. He introduced formulas to calculate the volume and surface area of solids. On the other hand, Aryabhatt, born in 476 CE, is renowned as the Father of Indian Mathematics.
Since the 17th century, maths has been a vital supplement to the physical sciences and technology, and in more recent times it has presumed to play a similar role in the quantitative aspects of the life sciences.
The study of mathematics started with the Pythagoreans, as a “demonstrative discipline” during the 6th century BC. The term mathematics evolved from the Greek word “mathema”, which implies “subject of instruction”.
Another mathematician, named Euclid, introduced the axiom, theorems, proofs and postulates, which are also widely used in current mathematics.
History of Mathematics is a primitive study and is defined by each part of the world, in a differential method. Various mathematicians have provided different theories for many concepts, which we are now applying in modern mathematics.
The main branches of mathematics include:
Probability and Statistics
A common rule used in maths is the BODMAS rule. According to this rule, the arithmetic operations are carried out based on the brackets and order of operations. The full form of BODMAS can be easily understood with the given description:
Thus, the 1st priority given here to the brackets then;
Division> multiplication > addition > subtraction
For instance, if we need to solve [10+ (4 x 10) ÷2], then applying the BODMAS rule, first multiply 4 and 10, within the brackets.
→ 10 + (4 x 10) ÷2
= 10 + 40 ÷ 2
Now divide 40 by 2
→ 10 + 20
Below are some important topics for each Class (from 1 to 12) which is covered under maths.
Numbers In Words
Addition And Subtraction Of Integers
Introduction To Data
Multiplication And Division Of Integers
Introduction to Large Numbers
Factors And Multiples
Multiplication And Division Of Decimals
Introduction to Lines and Angles
Introduction To Area
Area Of A Square
Addition and Subtraction of Decimals
Introduction To Algebra
Integers and Fractions
Introduction To Lines, Angles and Triangles
Means Of Comparing Quantities: Percentage
Concept of Visualising Solid Shapes
Introduction To Rational Numbers, Squares and Square Roots
Exponents And Powers
Introduction to Number System
Theory of Polynomials
Quadrilateral and finding Volume and Surface Areas
Introduction to Circles and Quadratics
Constructions and Co-ordinate Geometry
Arithmetic Progression, Probability And Statistics
Sets, Relations and Functions
Trigonometric Functions and Linear Inequalities
Permutation, Combination and Conic Sections
Limits and Derivatives
Matrices and Determinants
Inverse Trigonometric Functions
Application of Integrals
Vector algebra and Linear Programming
Continuity And Differentiability
Q1. What Do We Understand by Basic Mathematics?
Answer: The basic concepts of mathematics start with arithmetic operations like addition, subtraction, multiplication and division. Based on these operations, we do infinite calculations. These are the fundamentals that every student learns in their primary school. Here is a quick brief of these operations.
Addition: Sum total of numbers (e.g. 3 + 5 = 8)
Subtraction: Difference between two numbers or more (e.g. 7 – 5 = 2)
Multiplication: it is a product of two or more numbers (e.g. 4 x 7 = 28)
Division: Divide a number into equal parts (e.g. 20 ÷ 2 = 10, 20 is divided in 2 equal parts of 10)
Q2. Why is Learning Mathematics Important for Students?
Answer: Mathematics is one of the crucial subjects that help students in building and enhancing their logical thinking and problem solving skills. Mathematics is a subject of numbers, data, shapes, measurements and also logical activities. It has a wide scope in every aspect of our life, such as medicine, finance, natural science, engineering, and economics, etc.
The concepts and formulas that we learn in Mathematics books have huge applications in day to day life. To find the solutions for different math problems we require learning the theories and formulas. Thus, it is significant to learn maths to understand its various applications and significance.
Q3. Which Part of Maths Does Trigonometry Belong to?
Answer: Geometry is one of the crucial branches of mathematics which includes trigonometry, where we deal with sides and angles of a right triangle. It has extensive applications in the fields of architecture and construction.