Beautyofmaths

  NUMBER SYSTEM   The number system is a way of classifying and representing numbers used for counting, measuring, and calculations. Types of Numbers Natural Numbers (ℕ) Counting numbers starting from 1 Ex:1, 2, 3, 4, … Whole Numbers (𝕎) Natural numbers including zero Ex:0, 1, 2, 3, … Integers (ℤ) All positive numbers, negative numbers, and zero Ex:… −3, −2, −1, 0, 1, 2, 3, … Rational Numbers (ℚ) Numbers that can be written in the form p/q, where q ≠ 0 Ex: 1/2, −3/4, 5, 0.25 Irrational Numbers Numbers that cannot be written as p/q and have non-terminating, non-repeating decimals Ex:√2, √3, π Real Numbers (ℝ) All rational and irrational numbers together Ex:Includes every number on the number line Hierarchy of Number System Natural ⊂ Whole ⊂ Integers ⊂ Rational ⊂ Real Importance of Number System Helps in counting and measuring Used in daily life calculations Forms the foundation of mathematics Important for algebra, geometry, and higher maths

  ARYABHATA Aryabhata (476–550 CE) was one of the greatest mathematicians and astronomers of ancient India. He was born in 476 CE, probably in Kusumapura (present-day Patna, Bihar). Aryabhata lived during the Gupta period, a golden age of learning in India. He wrote his famous work “Aryabhatiya” at the age of 23 (around 499 CE). The Aryabhatiya deals with mathematics, astronomy, trigonometry, and algebra. He introduced the concept of zero, the place value system, and calculated the value of π (pi) ≈ 3.1416. Aryabhata explained that the Earth rotates on its axis, causing day and night. He gave scientific explanations for solar and lunar eclipses, rejecting myths. His work greatly influenced later Indian and Islamic scholars. Aryabhata passed away around 550 CE, but his contributions remain foundational to mathematics and astronomy. Conclusion: Aryabhata was a pioneer who combined observation, logic, and mathematics, making him one of the most respected scientists in world history.