Number Theory
Number theory is an area of mathematics that studies the set of positive whole numbers, such as 1, 2, 3, 4, 5, 6, etc., known as natural numbers.
Number theory makes the connections between various types of numbers easier. In number theory, numbers have been divided into different categories such as:
- Odd Numbers – 1, 3, 5, 7, 9, 11, 13, 15, 17, 19…..
- Even Numbers – 2, 4, 6, 8, 10, 12, 14, 16, 18, 20, 22 . . .
- Square Numbers – 4, 9, 16, 25, 36, 49, 64, 81,100 . . .
- Cube Numbers – 8, 27, 64, 125, 216, 343, 512 . . .
- Prime Numbers – 2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37, 41, 43, 47,53, 59, 61 . . .
- Composite Numbers – 4, 6, 8, 9, 10, 12, 14, 15, 16,18, 20, 21, 22, 24 . . .
- 1 (modulo 4) Numbers – 1, 5, 9, 13, 17, 21, 25, . . .
- 3 (modulo 4) Numbers – 3, 7, 11, 15, 19, 23, 27, . . .
- Triangular Numbers – 3, 6, 10, 15, 21, 28, 36, 45,. . .
- Perfect Numbers – 6, 28, 496, 8128, . . .
- Fibonacci Numbers -1, 1, 2, 3, 5, 8, 13, 21, 34, 55, 89. . .
Key Concepts in Number Theory
- Number System: Gain a comprehensive understanding of the Number System in Maths, covering its fundamental concepts and types.
- Numbers: Explore the world of Numbers, their classifications, and properties.
- Prime Numbers: Delve into the intriguing world of Prime Numbers and their significance in mathematics.
- Real Numbers: Understand the concept of Real Numbers, their characteristics, and applications.
- Rational Numbers: Learn about Rational Numbers and their place in the number system.
Maths
Mathematics, often referred to as “math” for short. It is the study of numbers, quantities, shapes, structures, patterns, and relationships. It is a fundamental discipline that explores the logical reasoning and systematic approach to solving problems. Mathematics is used extensively in various fields such as science, engineering, economics, computer science, and many others.
Maths is not only a subject taught in school but also has several applications in real life. Some kids find maths easy while some find it difficult. Parents find it a challenge to make kids love Maths. It takes lots of practice to master Maths. Some students may find Maths hard to understand and implement. Thus, w3wiki presents here a simple way for kids and students to learn Maths in a hassle-free manner.
Table of Content
- Number Theory
- Algebra
- Geometry
- Arithmetic
- Combinatorics
- Topology
- Mathematical Analysis
- Applied Mathematics
- Calculus
- Statistics and Probability
- Set Theory
- Trigonometry
- Classs 8-12 Maths Syllabus
- Important Maths Topics