Concept notes: Indian contributions to mathematics are extensive and include the development of the decimal system, the concept of zero, and significant advancements in algebra, trigonometry, and calculus. Ancient Indian mathematicians like Aryabhata, Brahmagupta, and Bhaskara II made groundbreaking discoveries that influenced global mathematical thought.
Explanation: Indian contributions to mathematics are extensive and have had a profound impact on the development of mathematical thought globally. The decimal system, which is the foundation of modern arithmetic, was developed in India. This system, which uses ten digits (0-9) and a place-value system, allows for efficient computation and is the basis for most numerical systems used today.
One of the most significant contributions of Indian mathematicians is the concept of zero. The idea of zero as a number and not just a placeholder was revolutionary and is attributed to Indian mathematicians. The concept of zero is crucial in algebra, calculus, and other branches of mathematics. Indian mathematicians like Brahmagupta provided rules for arithmetic operations involving zero, which were later adopted by mathematicians in other parts of the world.
Indian mathematicians also made significant contributions to algebra, trigonometry, and calculus. Aryabhata, for instance, made important contributions to trigonometry, including the sine function. Brahmagupta provided rules for operations with negative numbers and zero, and Bhaskara II made advancements in differential calculus and the concept of infinitesimals.
The works of these mathematicians were not only significant in their own right but also influenced the development of mathematics in other parts of the world. For example, the decimal system and the concept of zero were transmitted to the Islamic world and then to Europe, where they revolutionized mathematical practices.
In summary, the correct answer is (C) Mathematics, as Indians made significant advancements in this field, contributing to the development of the decimal system, the concept of zero, and various branches of mathematics that have had a lasting impact on global mathematical thought.