Mathematics -how useful is advanced mathematics?
Ashish Mohan
AI/ML Expert | Digital Transformation & Generative AI Specialist | Responsible AI & Ethics Advocate | Corporate Trainer & Fintech Educator | Empowering the Future of Tech in 2025(MS Computer Science)PHD Scholar
actually 01% of mathematics that finds applications changes the world.
The list is endless but to give a few examples…
Non-Euclidean geometry was extremely theoretical in the 19th century. But it was instrumental in the development of the theory of relativity, without which we couldn’t have GPS guidance.?https://physicscentral.com/explore/writers/will.cfm
Vector calculus and linear algebra were developed long before they had practical applications. But they were required for the development of nuclear weapons.
Number theory was once arcane, but now it is the bedrock which enables secure communication.
Hilbert spaces were once merely theoretical, but these are the foundation for an understanding of quantum computation, which may revolutionize the world.
Graph theory was once a parlor game, but now every computer engineer is highly learned in graph theory because of its rich applications.
Boole’s algebra was once almost a philosophical idea, until Shannon made the connection to mechanical circuitry. Similarly Turing’s universal computer was an airy thought experiment, until it motivated the development of real implementations. (Applications of Boolean Algebra: Claude Shannon and Circuit Design
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The difference between our modern lifestyle and that of ancient agriculturalists can be measured one mathematical advance at a time. Empires rise and fall because of mathematical ideas that have their origins as problems interesting for their own sake.