Vedic Mathematics, with its unique techniques like Urdhva Tiryakbhyam and Nikhilam Sutra, is widely used in computer science for optimizing algorithms and designing efficient data structures.

Bézier Curves, inspired by Indian mathematics, are extensively used in computer graphics for defining smooth curves and surfaces. They play a crucial role in computer-aided design (CAD) and animation.

The 'Shulba Sutras' contain geometric rules and formulas that were essential for constructing altars and temples in ancient India. These concepts are now used in architecture for designing buildings and structures with precise dimensions and alignments.

The Fourier Transform, developed by Jean-Baptiste Fourier, has its roots in Indian mathematics. It is widely used in signal processing, image analysis, and quantum mechanics for analyzing and manipulating signals and data.

Pingala's Method, an ancient Indian technique for generating binary sequences, is used in modern cryptography for developing secure encryption algorithms and protocols.

Kepler's Laws, inspired by Indian astronomy, describe the elliptical orbits of planets around the sun. These laws are fundamental in celestial mechanics and space exploration.

Madhava's Series, developed by the Indian mathematician Madhava of Sangamagrama, is a precursor to modern calculus. It is used in various fields, including the study of limits, derivatives, and integrals.

Finite Element Analysis (FEA), rooted in Indian mathematics, is a powerful tool used in engineering to simulate the behavior of complex structures under various loading conditions.

Lilavati, written by the Indian mathematician Bhaskara II, is a comprehensive treatise on algebra. It covers topics such as linear equations, quadratic equations, and indeterminate equations, which are fundamental in modern algebra.

Fractal Analysis, inspired by Indian mathematics, is used in medical imaging to identify patterns and abnormalities in tissues and organs, aiding in diagnosis and treatment.

Network Coding, influenced by Indian mathematics, is a technique used in communication networks to improve data transmission efficiency and reliability.

Kitaev's Toric Code, inspired by Indian mathematics, is a quantum error correction code that protects quantum information from noise and errors.

Varahamihira's Theorem, formulated by the Indian astronomer Varahamihira, is used in astronomy to calculate the position of celestial bodies and predict eclipses.

The Black-Scholes Model, influenced by Indian mathematics, is widely used in finance to price options and manage financial risk.

Chaos Theory, rooted in Indian mathematics, is used to understand the behavior of complex systems that exhibit unpredictable and nonlinear patterns.