Aryabhata, a renowned Indian mathematician and astronomer, is widely recognized for introducing the concept of zero and its use in the decimal system.

The Fibonacci sequence finds applications in industrial efficiency by optimizing production schedules, reducing inventory costs, and improving resource allocation.

The Sieve of Eratosthenes, an ancient Indian algorithm, is used in computer science to efficiently generate prime numbers, which has applications in cryptography and other areas.

Indian mathematics contributes to supply chain optimization through the use of linear programming, network flow algorithms, and integer programming methods.

The Central Limit Theorem, Poisson Distribution, and Normal Distribution are all Indian mathematical concepts used in quality control and reliability engineering for statistical analysis and process improvement.

Indian mathematics contributes to the development of efficient transportation systems through the use of graph theory, queuing theory, and game theory.

The Taguchi method, developed by Indian statistician Genichi Taguchi, is used in manufacturing to optimize processes by reducing variation and improving quality.

Indian mathematics contributes to the development of efficient energy systems through the use of linear programming, queuing theory, and game theory.

The Shannon-Hartley theorem, Nyquist-Shannon sampling theorem, and Huffman coding algorithm are all Indian mathematical concepts used in the design of efficient communication networks.

Indian mathematics contributes to the development of efficient financial systems through the use of stochastic processes, game theory, and optimization techniques.

The Markov chain model, queuing theory model, and decision theory model are all Indian mathematical concepts used in the design of efficient healthcare systems.

Indian mathematics contributes to the development of efficient educational systems through the use of statistical methods, game theory, and optimization techniques.

The Lotka-Volterra model, predator-prey model, and game theory model are all Indian mathematical concepts used in the design of efficient environmental systems.

Indian mathematics contributes to the development of efficient social systems through the use of social network analysis, game theory, and optimization techniques.