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Number systems and units of measurement in India : A historical overview

Indian Knowledge System Module 5 - Number System, mathematics a...

The Importance of Number Systems and Units of Measurement Robust number systems, units of measurement, and computational mechanisms are fundamental to modern scientific discoveries. The binary system is crucial in the era of digital computing. Standard means...

Salient aspects of Indian Mathematics

Indian Knowledge System Module 5 - Number System, mathematics a...

Introduction This document explores the significant contributions of ancient Indians to mathematics, focusing on the concept of zero, the place value system, the decimal system, and the use of large numbers. The Concept of Zero Origin: The concept of zero wa...

Bhuta Sankhya system

Indian Knowledge System Module 5 - Number System, mathematics a...

Introduction The Bhūta-Saṃkhyā system is a unique approach developed in India to represent numbers using words and entities, seamlessly integrating mathematics with literature and poetry. This system was particularly useful in oral traditions for representing ...

Kaṭapayādi System: A Unique Method for Representing Numbers with Letters

Indian Knowledge System Module 5 - Number System, mathematics a...

Introduction The Kaṭapayādi system is an ingenious method developed in India for converting numerals into words by associating specific numbers with individual letters of the alphabet. This system, unlike the Bhūta Saṃkhyā system where an entire word represent...

Measurements for time, distance and weight

Indian Knowledge System Module 5 - Number System, mathematics a...

Introduction This document explores the units of measurement used in ancient India for time, distance, and weight, highlighting the sophisticated systems developed in this civilization. Paramanu: The Smallest Unit The concept of Paramanu in ancient Indian lit...

Pingala and the Binary system

Indian Knowledge System Module 5 - Number System, mathematics a...

Introduction This document explores the work of Pingala, an Indian scholar from the 2nd Century BCE, and his contribution to the development of the binary system. While the use of binary numbers is primarily associated with modern computing, Pingala's work on...

Introduction to Indian Mathematics

Indian Knowledge System Module 5 - Number System, mathematics a...

Geometry in Ancient India Geometry was an ancient science in India, with evidence of complex constructions using simple tools like a pole and thread. The Baudhayana-SulbaSutra, an ancient mathematical text, describes the construction of a square using only ci...

Unique aspects of Indian Mathematics

Indian Knowledge System Module 5 - Number System, mathematics a...

Introduction This document explores the unique aspects of Indian mathematics, highlighting its integration with various aspects of life, its uninterrupted tradition, and its distinct characteristics that set it apart from other mathematical traditions. Mathema...

Indian Mathematicians and their Contributions

Indian Knowledge System Module 5 - Number System, mathematics a...

Introduction This document provides a glimpse into the rich and continuous tradition of Indian mathematics by highlighting some of the prominent mathematicians and their significant contributions to various branches of mathematics. Vedic Texts and Early Works...

Algebra in Indian Mathematics

Indian Knowledge System Module 5 - Number System, mathematics a...

Introduction This document explores the contributions of Indian mathematicians to algebra, covering topics such as algorithms for arithmetic operations, finding the square root of perfect and imperfect squares, and arithmetic and geometric series. Early Develo...

Geometry in Indian mathematics

Indian Knowledge System Module 5 - Number System, mathematics a...

Pythagoras Theorem The Pythagoras Theorem, which states that the sum of the squares of the two shorter sides of a right-angled triangle is equal to the square of the hypotenuse, was known in India as the Bhuja-koti-karna-nyaya. This theorem is described in th...

Binary mathematics and combinatorial problems in Chandah-Shastra

Indian Knowledge System Module 5 - Number System, mathematics a...

Introduction This document explores the contributions of Pingala, a 2nd Century BCE Indian scholar, to binary mathematics and combinatorial problems through his work on Chandah-shastra, a treatise on prosody. Laghu and Guru: The Binary Building Blocks Pingala...

Introduction to Indian Astronomy

Indian Knowledge System Module 5 - Number System, mathematics a...

The Fascination with the Sky Humans across the globe have been fascinated by the sky and its celestial objects. The study of astronomy attempts to make sense of the stars, seasons, rainfall, and the physical universe. Astronomy: An Ancient Science in Practic...

Elements of the Indian calender

Indian Knowledge System Module 5 - Number System, mathematics a...

Sidereal Period and Nakshatras The sidereal period of an object is the time it takes to complete one revolution against the background of stars. For instance, the Sun's sidereal period is the time it takes to traverse the entire ecliptic and return to the same...

Notion of years and months in the Indian Calender

Indian Knowledge System Module 5 - Number System, mathematics a...

The Vedic Year The Vedic year, known as Shravana, consisted of 12 months, each with 30 days, totaling 360 days. This concept is depicted in the Rigveda, where a verse describes the wheel of time with twelve spokes, representing the 12 months, and 720 sons, rep...

Panchanga - The Indian calender system

Indian Knowledge System Module 5 - Number System, mathematics a...

Components of Pañcāṅga Pañcāṅga, the Indian calendar system, comprises five components: Tithi: The angular separation between the Sun and the Moon. Karana: Half of a tithi. Nakshatra: The specific portion of the ecliptic occupied by the Moon. Yoga: The p...

Astronomical instruments (Yantras) in Indian Astronomy

Indian Knowledge System Module 5 - Number System, mathematics a...

A Gift of Astronomical Instruments In 1875-76, during his tour of India, the Prince of Wales received a set of astronomical instruments as a gift from the Maharaja of Banaras. These instruments were crafted based on descriptions in the Siddhanta Shiromani, a t...

Jantar Mantar of Raja Jai Singh Sawai

Indian Knowledge System Module 5 - Number System, mathematics a...

Introduction to Astronomical Instruments Ancient Indians developed various astronomical instruments for precise measurements of celestial bodies. These instruments aimed to determine the positions and movements of celestial objects accurately. Sanku (Gnomon) ...

The rise and fall of great Indian technology

Indian Knowledge System Module 6 - Engineering and Technology

Here we will explore India's contributions to science and technology, specifically focusing on its historical prowess in metalworking. The discussion is supported by visuals of a gold coin from the Gupta period and an armor made of Wootz steel, both showcasing...

Mining and ore extraction in Ancient India

Indian Knowledge System Module 6 - Engineering and Technology

Here we will focus on the mining and ore extraction techniques employed in ancient India, highlighting the technological advancements achieved in this field. It begins by showcasing the bronze statue of a dancing girl found at Mohenjo-daro, which exemplifies t...